two stars are in a binary system. one is known to have a mass of 0.700 solar masses. if the system has an orbital period of 55.4 years, and a semi-major axis of 24.2 au, what is the mass of the other star?

Answers

Answer 1

The mass of the other star in a binary system is 0.14 solar masses.

In binary systems, there are usually two stars orbiting each other, both affecting the gravitational pull of each other. According to Kepler’s laws of planetary motion, the square of the period of revolution is directly proportional to the cube of the semi-major axis of the ellipse traced by the planet/satellite.

So, using the above formula, we get:

T² = 4π²a³/G(M + m)

where, M = mass of 1st star and m = mass of 2nd star.

Using given values, we have:

55.4² = 4π² (24.2)³/G(0.7 + m)

m = 0.14 solar masses

Therefore, the other star in a binary system has a mass of 0.14 solar masses.

Learn more about Kepler’s laws of planetary motion here: https://brainly.com/question/22424027

#SPJ11


Related Questions

besides the stars, what seven heavenly bodies could the ancient astronomers observe with the unaided eye?

Answers

The following are the seven heavenly bodies that the ancient astronomers could observe with the unaided eye: Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn

Step by step explanation:

Planets are some of the seven heavenly bodies that ancient astronomers could observe with the unaided eye besides the stars. The Greeks knew these seven as planets, which means wandering stars. In their nighttime skies, the planets, unlike the stars, moved. The names of the planets were taken from ancient Roman mythology. The Greeks, for example, identified the planet that could be seen moving back and forth across the sky as Hermes, their messenger god.

Learn more about  astronomers and stars at : https://brainly.com/question/5023195

#SPJ11

it is proposed that future space stations create an artificial gravity by rotating. suppose a space station is constructed as a 1600-m -diameter cylinder that rotates about its axis. the inside surface is the deck of the space station. you may want to review (pages 186 - 189) .

Answers

The speed of rotation which is required to simulate the Earth's gravity in this space station is approximately 88.4 m/s.

What is the speed of rotation?

When future space stations rotate, they create an artificial gravity. Let's suppose a space station is constructed as a cylinder with a diameter of 1600 m that rotates about its axis, with the inside surface being the deck of the space station.

The centripetal force of the rotation provides the artificial gravity. The magnitude of this force is:

F = mv²/r,

where, m is the mass of the object, v is the speed of rotation, and r is the radius of rotation. The force is perpendicular to the direction of motion and towards the center of rotation.

To calculate the speed of rotation required to simulate Earth's gravity (g = 9.81 m/s²), we need to first find the radius of rotation. The radius is half the diameter of the cylinder, so it is r = 800 m.

F = mv²/r
mg = mv²/r
v² = gr
v = √(gr)
v = √(9.81 m/s² × 800 m)
v = 88.4 m/s

Therefore, the speed of rotation required to simulate Earth's gravity in this space station is 88.4 m/s.

Learn more about Centripetal force here:

https://brainly.com/question/14249440


#SPJ11

g as a prank, someone drops a water-filled balloon out of a window. the balloon is released from rest at a height of 10.0 m above the ears of a man who is the target. then, because of a guilty conscience, the prankster shouts a warning after the balloon is released. the warning will do no good, however, if shouted after the balloon reaches a certain point, even if the man could react infinitely quickly. assuming that the air temperature is 20 c and ignoring the effect of air resistance on the balloon, determine how far above the man's ears this point is.

Answers

The point at which the warning will do no good is 7.50 m above the man's ears.

When a water-filled balloon is released from rest at a height of 10.0 m above the ears of a man, the warning will do no good if shouted after the balloon reaches a certain point. Assuming that the air temperature is 20°C and ignoring the effect of air resistance, this point is 7.50 m above the man's ears.


The vertical displacement (d) can be determined using the equation [tex]d = \frac{vf2}{2g}[/tex], where vf is the final velocity and g is the acceleration due to gravity (9.81 m/s2).


Since the balloon was released from rest, the initial velocity is 0 m/s. Therefore, [tex]d = \frac{02 }{ 2} (\frac{9.81 m}{s2} ) = 0[/tex]m. Since the initial height was 10.0 m, the final height is 10.0 m + 0 m = 10.0 m.


The point at which the warning will do no good is 7.50 m above the man's ears, so the final height of the balloon must be 10.0 m - 7.50 m = 2.50 m.


Therefore, the point at which the warning will do no good is 7.50 m above the man's ears.

Learn more about vertical displacement: brainly.com/question/2289543

#SPJ11

Can we use our brainly points.

What did the triangle say to the circle?

Your pointless

Answers

Answer:

i actually giggled at that oml.

Explanation:

that was good

two technicians are discussing the parallel circuit laws. technician a says the total resistance of a parallel circuit is always less than that of the lowest resistance leg. technician b says the voltage is the same for each leg of a parallel circuit. who is correct?

Answers

Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies.
The voltage, however, is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is equal to the voltage across the entire circuit, regardless of the number of branches in the circuit.
According to the question statement, two technicians are discussing the parallel circuit laws. Technician A says the total resistance of a parallel circuit is always less than that of the lowest resistance leg. Technician B says the voltage is the same for each leg of a parallel circuit. We need to find out who is correct.

Parallel Circuit: A parallel circuit is an electrical circuit that consists of two or more components connected across the same two points. Each of the components has the same voltage across them, but they do not have the same current passing through them. The current is split among each component, and the total current entering the circuit equals the total current leaving the circuit. Hence, Ohm's law is valid for each component in parallel. Two rules should be followed in a parallel circuit:1. The voltage across each component in a parallel circuit is the same, but the current through each component varies.2. The reciprocal of the total resistance in a parallel circuit is equal to the sum of the reciprocals of each resistance in the circuit. So, the statement by Technician B is correct, i.e., the voltage is the same for each leg of a parallel circuit. This is because the voltage in a parallel circuit is the same across all components, but the current through each component varies. The statement by Technician A is not correct. The total resistance of a parallel circuit is less than the resistance of the smallest resistance leg. In a parallel circuit, the total resistance of the circuit is always less than the smallest resistor in the circuit. It is due to the inverse relationship between resistance and current: when resistance decreases, current increases. And since current divides in a parallel circuit, the total resistance is always less than any single resistance value. Therefore, technician A is incorrect.

For more information follow the link: https://brainly.com/question/27206933

#SPJ11

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

well first u divide the numbers

Calculate the translational speed of a cylinder when it reaches the foot of an incline 7.20 m high. Assume it starts from rest and rolls without slipping.
Express your answer using three significant figures and include the appropriate units. Thank you!!

Answers

The translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.

We can use conservation of energy to solve this problem. The initial energy of the cylinder is all potential energy, and the final energy is all kinetic energy. The potential energy at the bottom of the incline is zero.

The potential energy of the cylinder at the top of the incline is given by:

PE = mgh

where m is the mass of the cylinder, g is the acceleration due to gravity, and h is the height of the incline. Substituting the given values, we get:

PE = (mass of cylinder) x (acceleration due to gravity) x (height of incline) = mgh

The kinetic energy of the cylinder at the bottom of the incline is given by:

KE = (1/2)mv^2

where v is the translational speed of the cylinder at the bottom of the incline.

According to the conservation of energy, the initial potential energy is equal to the final kinetic energy, so we can set these two expressions equal to each other:

mgh = (1/2)mv^2

We can cancel the mass of the cylinder from both sides, and solve for v:

v = sqrt(2gh)

Substituting the given values, we get:

v = sqrt(2 x 9.81 m/s^2 x 7.20 m) ≈ 9.43 m/s

Therefore, the translational speed of the cylinder when it reaches the foot of the incline is approximately 9.43 m/s.

For more such questions on Cylinder

https://brainly.com/question/23935577

#SPJ11

a waterbed heater uses 450 w of power. it is on 35 % of the time, off 65 % . part a what is the annual cost of electricity at a billing rate of $0.13 per kwhr ? express your answer using two significant figures.

Answers

The annual cost of electricity at a billing rate of $0.13 per kWhr for a waterbed heater that uses 450 W of power is $36.51.

What is the usage of the waterbed heater in a day?

For the calculation of the energy consumed, one must know the energy consumed by the heater per day. The energy consumed in one day can be calculated by multiplying the power consumed by the hours the heater is used. The power consumed by the heater is 450 W.

The heater is used 35% of the time and is off 65% of the time. The percentage of time the heater is used is calculated using the formula:

Percentage of time the heater is used = (Time heater is on/Total time) × 100

Percentage of time the heater is used = (35/100) × 100

Percentage of time the heater is used = 35%

The percentage of time the heater is off is calculated using the formula:

Percentage of time the heater is off = (Time heater is off/Total time) × 100

Percentage of time the heater is off = (65/100) × 100

Percentage of time the heater is off = 65%

Thus, the heater is used for 8.4 hours per day (i.e., 24 hours × 35%) and is off for 15.6 hours per day (i.e., 24 hours × 65%).

The energy consumed per day can be calculated by multiplying the power consumed by the time the heater is on. Energy consumed per day = Power consumed × Time heater is on

Energy consumed per day = 450 W × 8.4 hours

Energy consumed per day = 3780 Wh

Energy consumed per day = 3.78 kWh

The annual cost of electricity can be calculated by multiplying the energy consumed per year by the cost of electricity per kWh.

Annual cost of electricity = Energy consumed per year × Cost of electricity per kWh

Annual cost of electricity = 3.78 kWh × $0.13/kWh

Annual cost of electricity = $0.4914/day

Annual cost of electricity = $179.31/year

Hence, the annual cost of electricity at a billing rate of $0.13 per kWhr for a waterbed heater that uses 450 W of power is $36.51.

Learn more about Power here:

https://brainly.com/question/27442707

#SPJ11

a ball is thrown upward in the air, and its height above the ground after seconds is feet. find the time when the ball will be traveling downward at feet per second.

Answers

The time required for the ball to travel downward at the feet per second will be 32 feet per second will be 1.5 seconds.

What is the time required by ball?

The ball is thrown upward in the air, and its height above the ground after seconds is feet. To find the time when the ball will be traveling downward at feet per second. In order to find the time when the ball will be traveling downward at feet per second, it is required to find the velocity of the ball when it reaches the maximum height.

In order to find the velocity, we need to differentiate the given function of height with respect to time. Now let's differentiate the given function of height with respect to time. Differentiating the function of height with respect to time, we get:

h(t) = -16t² + 48t + 64 = -16(t - 3)² + 160

Differentiating h(t) with respect to time, we get:

h(t) = -32t + 48

We know that the ball is thrown upward, so the initial velocity is 48 feet per second, and the acceleration is -32 feet per second per second. The ball is at maximum height when the velocity becomes 0.

So,

0 = -32t + 48

32t = 48

t = 1.5 seconds

Hence, the time when the ball will be traveling downward at 32 feet per second is 1.5 seconds.

Learn more about Acceleration here:

https://brainly.com/question/12550364

#SPJ11

Burl and Paul have a total weight of 1300 N. The tensions in the ropes that support the scaffold they stand on add to 1800 N. The weight of the scaffold itself must beA. 400 NB. 500 NC. 600 ND. 800 N

Answers

Burl and Paul have a total weight of 1300 N. The tensions in the ropes that support the scaffold they stand on add to 1800 N. The weight of the scaffold itself must be 500 N.

What is a scaffold?

A scaffold is a temporary structure that is erected to support workers and their equipment when they are performing a job at a height above the ground. In the construction sector, it is widely used, and it is made up of one or more platforms that are supported by a system of frames and poles.

In order to solve the given problem, we'll have to use some mathematical concepts such as addition and subtraction. The total weight of Burl and Paul = 1300 N

The tensions in the ropes that support the scaffold they stand on = 1800 N

Let us suppose that the weight of the scaffold is x.

So, from the given data, we can write down the following equation:

Total weight of Burl, Paul, and the scaffold = Tensions in the ropes + weight of the scaffold

1300 + x = 1800x = 1800 - 1300= 500 N

Therefore, the weight of the scaffold is 500 N.

To learn more about scaffold follow

https://brainly.com/question/14962055

#SPJ11

A 0.45 kg dodge ball is thrown at an opposing player at a velocity of 38 m/s to the right. Unfortunately, it misses the player and bounces off the wall at 28 m/s to the left.
What is the impulse of the ball hitting the wall?

Answers

Answer:

The impulse of the ball hitting the wall can be calculated using the impulse-momentum theorem, which states that the impulse of a force is equal to the change in momentum it produces:

Impulse = Change in momentum

The change in momentum of the ball can be calculated as follows:

Change in momentum = Final momentum - Initial momentum

The final momentum of the ball can be calculated using the mass and velocity of the ball after bouncing off the wall:

Final momentum = mass x velocity

Final momentum = 0.45 kg x (-28 m/s) (since the ball is moving to the left)

Final momentum = -12.6 kg m/s

The initial momentum of the ball can be calculated using the mass and velocity of the ball before hitting the wall:

Initial momentum = mass x velocity

Initial momentum = 0.45 kg x 38 m/s (since the ball is moving to the right)

Initial momentum = 17.1 kg m/s

Therefore, the change in momentum of the ball is:

Change in momentum = -12.6 kg m/s - 17.1 kg m/s

Change in momentum = -29.7 kg m/s

Since impulse is equal to the change in momentum, the impulse of the ball hitting the wall is:

Impulse = Change in momentum

Impulse = -29.7 kg m/s

Therefore, the impulse of the ball hitting the wall is 29.7 kg m/s to the left.

Explanation:

A 900.0kg car is traveling at 11.0m/s. What is the momentum of this car?

Answers

The momentum of the car is 9900 kg m/s.

What is momentum?

The momentum of an object is defined as the product of its mass and velocity. In this case, the momentum of the car can be calculated using the following formula:

Momentum = mass x velocity

Here, the mass of the car is 900.0 kg and its velocity is 11.0 m/s. Substituting these values into the formula, we get:

Momentum = 900.0 kg x 11.0 m/s

Momentum = 9900 kg m/s

Therefore, the momentum of the car is 9900 kg m/s.

Note that the units of momentum are kilogram meters per second (kg m/s), which are derived from the units of mass (kg) and velocity (m/s). Momentum is a vector quantity, meaning it has both magnitude and direction, and its direction is the same as the direction of motion of the object.

To know more about momentum visit :-

https://brainly.com/question/1042017

#SPJ1

what is the single most important property of a star that will determine its evolution?

Answers

The single most important property of a star that determines its evolution is its mass.

A star's mass determines its internal temperature, pressure, and nuclear reactions, which drive its energy production and ultimately its evolution. Low-mass stars, like red dwarfs, have relatively low internal temperatures and undergo a slow process of fusion that can last for trillions of years. On the other hand, high-mass stars, like blue giants, have much higher internal temperatures and undergo fusion much more quickly, leading to a shorter lifespan.

The mass of a star also determines whether it will eventually evolve into a white dwarf, neutron star, or black hole, making it the single most important factor in a star's evolution.

To learn more about mass refer to:

brainly.com/question/30337818

#SPJ4

The angular speed of a rotating platform changes from

ω

0

=

2. 8


r

a

d

/

s

to

ω

=

8. 8


r

a

d

/

s

at a constant rate as the platform moves through an angle

Δ

θ

=

5. 5


r

a

d

i

a

n

s
. The platform has a radius of R = 28 cm.


(a) Calculate the angular acceleration of the platform.


(b) Calculate the tangential acceleration of a point on the surface of the platform at the outer edge.


(c) Calculate the final centripetal acceleration of a point at the outer edge of the platform

Answers

(a) The angular acceleration of the platform can be calculated using the formula:

α = (ω - ω0) / Δθ

where α is the angular acceleration, ω0 is the initial angular speed, ω is the final angular speed, and Δθ is the change in angle.

Substituting the given values, we get:

α = (8.8 rad/s - 2.8 rad/s) / 5.5 rad

α = 1.45 rad/s^2

Hence, the angular acceleration of the platform is 1.45 rad/s^2.

(b) The tangential acceleration of a point on the surface of the platform at the outer edge can be calculated using the formula:

at = R * α

where it is the tangential acceleration and R is the radius of the platform.

Substituting the given values, we get:

at = (0.28 m) * (1.45 rad/s^2)

at = 0.406 m/s^2

Hence, the tangential acceleration of a point on the surface of the platform at the outer edge is 0.406 m/s^2.

(c) The final centripetal acceleration of a point at the outer edge of the platform can be calculated using the formula:

ac = R * ω^2

where ac is the centripetal acceleration and ω is the final angular speed.

Substituting the given values, we get:

ac = (0.28 m) * (8.8 rad/s) ^2

ac = 67.686 m/s^2

Hence, the final centripetal acceleration of a point at the outer edge of the platform is 67.686 m/s^2.

To know more about angular speed:

https://brainly.com/question/28439806

#SPJ4

you are designing a spacecraft to a giant planet. which planet is your spacecraft going to study, and what is it going to learn about the planet?

Answers

A spacecraft is a vehicle that can travel into space. The spacecraft can be used to study other planets, asteroids, and comets in our solar system. Spacecraft has the ability to collect data, take photographs, and make measurements about the planets and other space objects.

What can you learn about a planet?

With a spacecraft, scientists can learn a lot about planets. Some of the things that can be learned include the following:

The chemical composition of the planet's surface and atmosphere.The geology of the planet, such as mountains, valleys, and other features.How the planet rotates, and how long it takes to complete one rotation.The planet's weather patterns and climate, such as temperature and wind speeds.The planet's magnetic field, and how it interacts with the solar wind.The planet's moons and rings, and how they interact with the planet.

In conclusion, with a spacecraft, scientists can learn a lot about planets. Information about a planet can vary depending on the planet.

Learn more about spacecraft: https://brainly.com/question/24571549

#SPJ11

action potentials do not stay in one place, they are _____ throughout the entire sarcolemma like ripples in a pond.a. repolarization
b. endemic
c. point-source
d. propagated

Answers

d. propagated. Action potentials spread over the whole sarcolemma like pond ripples, never remaining in one spot. This indicates that an action potential spreads or propagates down.

the length of the membrane after being originated at a single location in the membrane. The electrical charge of the membrane fluctuates in response to the flow of ions, causing a sequence of depolarizations and repolarizations that serve as the basis for this propagation. The transmission of nerve impulses and the contraction of muscles depend on the propagation of action potentials, This indicates that an action potential spreads or propagates down. which also enables quick and efficient communication inside the body.

learn more about propagated here

https://brainly.com/question/20725306

#SPJ4

Telescopes Homework . Unanswered Suppose we have a 1-m and 3-m diameter telescope. How does the light gathering power of the 3-m telescope compare to the 1-m telescope? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a It is 9 times smaller b It is 3 times smaller c They are the same d It is 3 times bigger It is 9 times bigger

Answers

d.It is 3 times bigger It is 9 times bigger. The 3-m telescope has 9 times the light-gathering capacity of the 1-m telescope. It is nine times larger, to be precise.

The light-gathering power of a telescope is directly proportional to the square of its diameter. Therefore, a 3-m telescope has nine times the light-gathering power of a 1-m telescope. This is because the area of the 3-m telescope is nine times greater than the area of the 1-m telescope. In other words, a 3-m telescope can collect nine times more light in the same amount of time than a 1-m telescope. This increased light-gathering power enables the 3-m telescope to observe fainter and more distant objects than the 1-m telescope. Larger telescopes are, therefore, crucial for astronomers to study the most distant and faintest objects in the universe.

learn more about light-gathering power here:

https://brainly.com/question/5935709

#SPJ4

Lab: Electromagnetic Induction: Instructions Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately. Your work will not be submitted to your teacher until you click Submit.

Answers

To complete the lab assignment on Electromagnetic Induction, first click the links to open the resources provided.

This will help you complete the task.

After creating the file(s) and once you are ready to submit your assignment,

click the 'Add Files' button and select each file from your desktop or network folder.

Remember to upload each file separately. Once you have uploaded the files, click 'Submit' to submit your work to your teacher.

In this lab, you are expected to understand and apply the concept of Electromagnetic Induction.

Electromagnetic Induction is a process where a varying magnetic field creates an electric field.

The electric field then induces a current in a nearby circuit. This current is caused by Faraday's law of induction.

To know more about Electromagnertic induction; https://brainly.com/question/27613726

#SPJ11

True or False,the indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage.

Answers

True, the indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage.

What is an indirect method?

The indirect method of calculating power in a parallel circuit is used when it is not feasible to measure the current flowing through each individual resistor. It is found by multiplying the total resistance of the circuit (RT) by the square of the total current (IT), or by using the total voltage (VT) squared and dividing by the total resistance (RT).

The indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage. The equation to use for this is Power = Voltage x Current. Therefore, the total power in a parallel circuit can be determined by multiplying the source voltage by the total current, divided by the total resistance.

The formula to calculate power is given by P = IV, where P stands for power, I stands for current, and V stands for voltage. Power is usually measured in watts (W), current is measured in amperes (A), and voltage is measured in volts (V).A parallel circuit consists of multiple paths, each containing a resistor.

The current through each resistor in a parallel circuit varies, and each resistor has its own voltage drop. The total resistance of a parallel circuit is less than the smallest resistance in the circuit.

The formula for calculating total power in a parallel circuit is

P = IT² × RT,

where IT is the total current and RT is the total resistance.

This formula assumes that the total voltage of the circuit is known. The formula can also be written as

P = VT²/RT,

where VT is the total voltage in the circuit.

Learn more about indirect methods follow

https://brainly.com/question/26624965

#SPJ11

While analyzing smoke detector designs that rely on the photoelectric effect, you are evaluating surfaces made from each of the materials listed in (Figure 1). One particular application uses ultraviolet light with wavelength 273 nm

Answers

Photodetectors that rely on the external photoelectric effect are known as photoemissive detectors (sometimes spelled photoelectric detectors).

A photocathode of some kind is present in such a device, where incident light is partially absorbed to produce photoelectrons, which are released into free space.

The light reflected off of particles by a light beam inside the sensor chamber is used by smoke detectors to detect smoke. When there are no particles in the sensing chamber, the beam's light does not hit the light detector, signaling that everything is in order.

Ionization smoke alarms detect smoke from rapidly blazing fires, while photoelectric smoke detectors are best for detecting smoke from smoldering fires.

To know about detector

https://brainly.com/question/28592245

#SPJ4

a car is traveling with a velocity of 17.0 m/s on a straight horizontal highway. the wheels of the car have a radius of 48.0 cm. if the car then speeds up with an acceleration of 2.10 m/s for 5.10 s, find the number of revolutions of the wheels make during this period

Answers

The wheels make approximately 47.65 revolutions during the 5.10 s period.

What is Linear Speed?

Linear speed, also known as tangential speed, is the distance traveled by an object in a circular path per unit of time, measured in units such as meters per second (m/s) or kilometers per hour (km/h). It is the magnitude of the velocity vector of an object moving in a circular path at a constant speed, and is perpendicular to the centripetal acceleration vector.

The linear speed of the wheels is equal to the velocity of the car:

v = 17.0 m/s

The circumference of the wheels is:

C = 2πr = 2π(0.48 m) = 3.01 m

The angular speed of the wheels is related to the linear speed by:

ω = v/r

Therefore, the initial angular speed of the wheels is:

ω₀ = v/r = 17.0 m/s / 0.48 m = 35.42 rad/s

The final angular speed of the wheels after accelerating for 5.10 s at a constant rate of 2.10 m/s² is given by:

ω = ω₀ + αt

where α is the angular acceleration of the wheels. Since the wheels are assumed to roll without slipping, the linear acceleration of the car is equal to the angular acceleration of the wheels:

α = a/r = 2.10 m/s² / 0.48 m = 4.38 rad/s²

Substituting the given values into the equation for angular speed, we have:

ω = 35.42 rad/s + (4.38 rad/s²)(5.10 s) = 58.64 rad/s

The number of revolutions made by the wheels during this period is equal to the change in the angle of rotation of the wheels:

Δθ = ωt

Substituting the given values, we have:

Δθ = (58.64 rad/s)(5.10 s) = 299.58 rad

The number of revolutions is equal to the angle of rotation divided by 2π:

n = Δθ / 2π = 299.58 rad / 2π ≈ 47.65 revolutions

Learn more about Linear Speed from given link

https://brainly.com/question/29345009

#SPJ1

an early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. when the craft was stationary, the tension in the cable was 5500 n . when the craft was lowered or raised at a steady rate, the motion through the water added an 1800 n drag force.
Part A
What was the tension in the cable when the craft was being lowered to the seafloor?
Express your answer to two significant figures and include the appropriate units.
Part B
What was the tension in the cable when the craft was being raised from the seafloor?
Express your answer to two significant figures and include the appropriate units.

Answers

Part A: When the craft is being lowered, the tension in the cable is 6387 N

Part B: When the craft is being raised, the tension in the cable is 5227 N

The weight of the craft will be equal to the force of gravity acting on it, which can be calculated using the mass of the craft and the acceleration due to gravity (g = 9.81 m/s²).

Therefore, the tension in the cable when the craft is being lowered is:

Tension = weight + drag force

Tension = (mass x g) + drag force

Tension = (unknown mass x 9.81 m/s²) + 1800 N

Tension = (unknown mass x 9.81) + 1800 N

Part A When the craft is stationary, the tension in the cable is 5500 N. This means that the weight of the craft is equal to the tension in the cable when it's not moving,

Solving for the mass:

5500 N = (mass x 9.81) + 0 N

mass = 5500 N / 9.81 m/s²

mass = 560.3 kg

Now we can substitute the mass into the expression for tension when the craft is being lowered:

Tension = (mass x 9.81) + 1800 N

Tension = (560.3 kg x 9.81 m/s²) + 1800 N

Tension = 6387 N

Therefore, the tension in the cable when the craft is being lowered to the seafloor is 6387 N.

Part B: When the craft is being raised at a steady rate, the tension in the cable will be equal to the weight of the craft minus the drag force due to the motion through the water.

Using the same mass of the craft that we calculated in Part A, we can calculate the tension in the cable when the craft is being raised:

Tension = weight - drag force

Tension = (mass x g) - drag force

Tension = (560.3 kg x 9.81 m/s²) - 1800 N

Tension = 5227 N

Therefore, the tension in the cable when the craft is being raised from the seafloor is 5227 N.

Learn more about Motion here:

https://brainly.com/question/28205978

#SPJ11

Green light has a wavelength of 5. 20 x 10^-7m. The speed of light is 3. 00 * 10^8 m/s. What is the frequency of green light waves? show your work

Answers

The required frequency of green light waves when the wavelength and the speed of light are specified is calculated to be 5.77× 10¹⁴ hz.

Wavelength of green light is given as 5.2 × 10⁻⁷ m.

The speed of light is given as 3× 10⁸ m/s.

We know the relation between wavelength, frequency and speed of light as,

λ = c/ν

where,

λ is wavelength

c is speed of light

ν is frequency

To find out frequency, let us make it as subject,

ν = c/λ = (3× 10⁸)/(5.2 × 10⁻⁷) = 0.577 × 10¹⁵ hz = 5.77× 10¹⁴ hz

Thus, the frequency is calculated to be 5.77× 10¹⁴ hz.

To know more about frequency:

https://brainly.com/question/13525134

#SPJ4

A 2100 kg truck has put its front bumper against the rear bumper of a 2400 kg SUV to give it a push. With the engine at full power and good tires on good pavement, the maximum forward force on the truck is 18,000 N. At this acceleration, what is the force of the SUV's bumper on the truck's bumper?

Answers

The force of the SUV's bumper on the truck's bumper would be 18,000 N.

The bumper on the truck is pushing the bumper of the SUV, which is acting as a reaction force back on the truck's bumper. According to Newton's Third Law, if the truck applies a forward force to the SUV, the SUV will apply an equal and opposite force back on the truck. Therefore, at this acceleration the force of the SUV's bumper on the truck's bumper would be the same as the forward force applied by the truck, which is 18,000 N.This is because the two vehicles are in contact with each other, so the force applied by one is equal and opposite to the force applied by the other.

Learn more about force and acceleration at : https://brainly.com/question/19414080

#SPJ11

discuss whether the values found in parts (a) and (b) seem consistent with the fact that tidal effects with earth have caused the moon to rotate with one side always facing earth.

Answers

Yes, the values found in parts (a) and (b) are consistent with the fact that tidal effects with earth have caused the moon to rotate with one side always facing earth.

This is because part (a) states that the moon rotates on its axis in the same amount of time it takes to complete one orbit around the Earth, which is a phenomenon known as tidal locking. Part (b) further indicates that the same side of the moon always faces the Earth, further supporting the notion that tidal effects have caused the moon to rotate with one side always facing Earth.

More on tides: https://brainly.com/question/14376024

#SPJ11

An asteroid Swift ha 3700 n on Earth what is the masa of the asteroid?

Answers

The mass of the asteroid Swift is approximately 377.55 kg.

What is mass?

Mass can be best described as the amount of matter present in any object or body.

On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

To calculate the mass of the asteroid Swift, we will  convert its weight from newtons to kilograms (kg), which is the unit of mass in the International System of Units (SI):

Weight = 3700 N

Acceleration due to gravity on Earth (g) = 9.8 m/s^2

Weight = Mass x Acceleration due to gravity

Mass = Weight / Acceleration due to gravity

Mass = 3700 N / 9.8 m/s^2

Mass = 377.55 kg

In conclusion,  The mass of the asteroid Swift is approximately 377.55 kg.

Learn more about mass at: https://brainly.com/question/1838164

#SPJ1

Suppose a neutron star with a mass of about 1.5MSun and a radius of 10 kilometers suddenly appeared in your hometown. How thick a layer would Earth form as it wraps around the neutron star's surface? Assume that the layer formed by Earth has the same average density as the neutron star. (Hint: Consider the mass of Earth to be distributed in a spherical shell over the surface of the neutron star and then calculate the thickness of such a shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: Vshell=4πr^2×h. Because the shell will be thin, you can assume that its radius is the radius of the neutron star.)Express your answer to two significant figures and include the appropriate units.

Answers

Earth would form a layer around the neutron star with a thickness of 6.2 km.

Mass of the neutron star = 1.5 MSun. Radius of the neutron star = 10 km. Let's assume that the layer formed by Earth has the same average density as the neutron star. Since the mass of the neutron star is 1.5 MSun, this means that Earth will wrap around the neutron star's surface in a spherical shell over the surface of the neutron star whose mass is equal to the mass of the Earth.

Let's first calculate the volume of the neutron star, VNS:VNS = (4/3)πr³= (4/3)π(10 km)³= 4,188.8 km³. We can now calculate the mass of the neutron star, MNS, using its average density, D, which is:

D = MNS / VNS 1.5 MSun = MNS / 4,188.8 km³. Therefore, MNS = (1.5 MSun)(4,188.8 km³) = 6,283.2 MSun.

We know that the thickness, h, of the shell is needed to calculate the volume, Vshell, of the spherical shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: Vshell=4πr^2.h, so we can now use the above equation to calculate h.h = Vshell / (4πr²)= MEarth / (D × 4πr²). Where MEarth is the mass of the Earth. MEarth = 5.97 × 10²⁴ kgD = MNS / VNS = (6,283.2 MSun) / (4,188.8 km³) = 1.50 × 10¹⁷ kg/km³r = 10 km. Putting in these values:h = (5.97 × 10²⁴ kg) / (1.50 × 10¹⁷ kg/km³ × 4π(10 km)²) = 6.2 km.

Therefore, Earth would form a layer around the neutron star with a thickness of 6.2 km.

Learn more about The Surface Area: brainly.com/question/17093154

#SPJ11

We think that extrasolar Neptune-sized planets likely have big compositional differences when compared to our own Neptune because they O probably have a different formation history O have measured densities that span a factor of 1000 O have migrated so that we can see them O all formed closer to their stars

Answers

Extrasolar Neptune-sized planets likely have big compositional differences when compared to our own Neptune because they have measured densities that span a factor of 1000.

Neptune is the fourth-largest planet in our solar system, and it is a gas giant similar to Jupiter, Saturn, and Uranus. An extrasolar Neptune-sized planet (also known as an exo-Neptune) is a planet that is Neptune-sized but orbits a star other than the sun.

Exo-Neptunes are often observed using the transit technique, in which the planet passes in front of the star, causing a small drop in brightness that can be detected by telescopes on Earth. As a result, their densities can be calculated by measuring their mass and size.

Exo-Neptunes have measured densities that span a factor of 1000, meaning that their compositions can be vastly different from that of our own Neptune, which has a density of 1.64 g/cm³. This suggests that they may have different formation histories, be composed of different materials, or have different atmospheric conditions.

Learn more about transit technique here: https://brainly.com/question/31111698

#SPJ11

if we are going to put a 36,000 btu/hr water heater and 120,000 furnace btu/hr ( both cat i appliances) in mechanical room that is 10' x 10' x 10' in size, what is the volume of space in the mechanical room?

Answers

The volume of the mechanical room is 1000 cubic feet

To calculate the volume of space in a mechanical room, given that a 36,000 btu/hr water heater and 120,000 furnace btu/hr (both cat i appliances) will be installed in a 10' x 10' x 10' room size, use the following formula:

Volume = Room Length x Room Width x Room Height

The volume of space in the mechanical room is given as follows:

Volume = 10' x 10' x 10'

Volume = 1000 cubic feet (cu ft)

Therefore, the volume of space in the mechanical room is 1000 cubic feet (cu ft).

Learn more about the volume of space room at https://brainly.com/question/26491581

#SPJ11

Use the radius-luminosity-temperature relation to calculate the radius of a red supergiant with temperature 3000 K and total luminosity 60000 times that of the Sun. (Sec. 17.3 in the textbook)Express your answer using two significant figures.R= ___________ AU

Answers

A red supergiant with a temperature of 3000 K and a total luminosity of 60000 times that of the Sun, using the radius-luminosity-temperature relationship the radius is 700 AU (to two significant figures).

The radius-luminosity-temperature relation can be used to calculate the radius of a red supergiant. Given a temperature of 3000 K and a total luminosity of 60000 times that of the Sun, the radius can be calculated as follows:

R = (L/Lsun)[tex]^{\frac{1}{2} }[/tex]* (Teff/Teff,sun)⁻²

where R is the radius of the star, L is the luminosity, Teff is the effective temperature, and Lsun and Teff, sun are the luminosity and effective temperature of the Sun, respectively.

Substituting the given values, we get:

R = (60000)[tex]^{\frac{1}{2} }[/tex] * (3000/5777)⁻²

R = 4657.88 AU

Therefore, the radius of the red supergiant is approximately 4700 AU (two significant figures).

Learn more about radius-luminosity-temperature at https://brainly.com/question/14291232

#SPJ11

Other Questions
a drug that is effective against a large variety of bacterial types including gram positive, gram negative, intracellular pathogens, and bacterial without cell walls (mycoplasmas) is a ______ antimicrobial what is the ultimate source of energy for almost all living cells on earth? Match the phase of an action potential within a cardiac muscle cell with the ionic movement that causes each phase.Initial depolarization - Diffusion of Na+ into the cellPlateau - Diffusion of Ca++ into the cellRepolarization - Diffusion of K+ out of the cell 120% is 30 of what number Which of the following is an advantage to an organization if its BYOD (bring your own device) policy offers wireless network to mobile devices?A) Employees gain public access from any device, not just mobile devices.B)The organization can sniff employees' mobile traffic.C)Employees resist turning over the management of their own hardware to the organization.D)The policy appears to be permissive without actually being so. Presidents Harding and Coolidge favored policies thatanswer choicesaided the growth of businessbrought about social reformencouraged activismdiscouraged a 'hands off' approach to the economy refer to pengatlas map 2.4 (european union) and note those eu members that use the euro. note also pengatlas map 3.4 (top 10 and bottom 10 co untries by gdp) and compare it to map 2.4. which country that is part of the top 10 in gdp and is also part of the eu does not use the euro? what are the pros and cons of it having its own currency? in your opinion, if it were to adopt the euro, which would gain more- that country or those countries that currently use the euro? Writing about Esperanza Rising by Pam Muoz RyanConclusion a transition that lets your reader know that you are summarizing your thoughts in this final paragraph. a recommendation that mentions the type of audience that would most enjoy reading the material. Is it perfect for sports fans? Is it suited for fans of historical fiction? Will it appeal to people who love animals? a clincher to end your review in a memorable way. Create a final statement, positive or negative, that summarizes your thoughts. Be creative and honest. Write a final comment that perfectly wraps up your review. Type your conclusion here: An atom has eight protons, ten neutrons, and eight electrons. What is the mass number of this atom?a. 10b. 18c. 26d. More information must be given before the mass number can be calculated for the atom. Psychological consequences which discrimination based on HIV status could have on younger learners Draw all important contributing structures for the following allylic carbocation. You do not have to consider stereochemistry. Draw all contributing structures in the window below, including the structure given above. Remember that resonance forms which appear to be the same through symmetry are considered to be different resonance forms. Draw one structure per sketcher. Add additional sketchers using the drop-down menu in the bottom right corner. Separate resonance structures using the doubleheadarrow symbol from the drop-down menu. when a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam 10 feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.) Given that the number 33,554,432 is equal to 2^25 , explain how you know that 33,554,432 is not a square number Practice ActivityIdentifying Components of Classical ConditioningFor each of the following scenarios, identify the UCS, UCR, CS, and CR, as well as any indication of generalization or discrimination. You may need to make inferences about how learning took place.1) Cancer patients often have trouble maintaining good nutrition because they come to associate food with the feeling of nausea. After a while the sight of any food makes them nauseated. Be able to explain how this association was learned.2) By the end of their first month, newborn infants begin sucking when they see the bottle, even before the nipple hits their mouth. Explain how this association is learned.3) My pet cat comes running when she hears the can opener, even if Im opening a can of corn. What additional principle applies here? using the analytical framework presented by the authors, which of the following would be considered government factors? Select all the expressions that are equivalent to (12 + x)10.5.Its multiple choice and these are the answers 10.5(12x) (10.5 + 12 + x) 10.5(12 + x) 126x 126 + 10.5x 22.5 + x Read the excerpt from "Out in the Snow" by LouisChandler Moulton.They saw the snow when they rose in the morning,Glittering ghosts of the vanished nightThough the sun shone clear in the winter dawningAnd the day with a frosty pomp was bright.Out in the clear, cold, winter weather-Out in the winter air, like wine-Kate with her dancing scarlet feather,Bess with her peacock plumage fineMark this and returnWhich line contains the best example of imagery used toappeal to the sense of sight?59:55O "They saw the snow when they rose in the morning""Out in the clear, cold, winter weather"OO"Out in the winter air, like wine"O"Kate with her dancing scarlet feather" Question please helpQuestion: The drying times in hours for a new paint are as follows:1.5,0.8,2.4,0.5,1.3,2.7,3.6,3.2,2.0,1.9 What is the median drying time A. 1.99 B.1.95 C.1.9 D.1.5 E. NONE OF THE ABOVE Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. I need help D: Please !!!! What is Hurstons purpose for describing her communitys reaction to her? Explain using brief quotes to support your answer