To calculate the magnetic field 2cm away from the straight current carrying wire made of Manganese, we can use the Biot-Savart Law.
Which formula will be applied ?The formula for the magnetic field due to a straight current carrying wire is given by:
B = (μ0 ₓ I) / (2π ₓr)
where B is the magnetic field, I is the current, r is the distance from the wire, and μ0 is the permeability of free space, which has a value of 4π x 10⁻⁷ T·m/A.
Given that the wire has a volume of 27cm³ and length 3cm, we can calculate its cross-sectional area as:
A = V / L = 27 cm³ / 3 cm = 9 cm²
Since the wire is switched on for 5 seconds, we can assume that the current is constant during this time interval.
Assuming a current of I = 1A, and a distance of r = 0.02m (2cm) from the wire, we can calculate the magnetic field as:
B = (4π x 10⁻⁷ T·m/A ₓ1A) / (2π ₓ 0.02m) = 10⁻⁵ T
Therefore, the magnetic field 2cm away from the current carrying wire made of Manganese is 10⁻⁵ T.
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We cannot calculate the magnetic field using the given information.
How to calculate magnetic field ?
To calculate the magnetic field due to a current-carrying wire at a distance, we can use the Biot-Savart law, which states that the magnetic field at a point due to a current-carrying wire is directly proportional to the current in the wire and the distance from the wire, and inversely proportional to the distance from the wire squared. The formula for the magnetic field due to a straight wire is:
B = (μ₀ / 4π) x (I / r)
where B is the magnetic field, I is the current in the wire, r is the distance from the wire, and μ₀ is the permeability of free space, which is a constant with a value of 4π x 10^-7 T m/A.
Given:
The wire is made of Manganese
The volume of the wire is 27 cm^3, and its length is 3 cm. Therefore, the cross-sectional area of thewire is (27/3) cm^2 = 9 cm^2.
The wire is switched on for 5 seconds.
The distance from the wire is 2 cm.
We need to know the current in the wire to calculate the magnetic field. Unfortunately, the problem statement does not provide any information about the current. Therefore, we cannot calculate the magnetic field using the given information.
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Calculate the pH at 25°C of a 0.73M solution of potassium acetate KCH3CO2. Note that acetic acid HCH3CO2 is a weak acid with a pKa of 4.76 . Round your answer to 1 decimal place.
Concentrated sulfuric acid will result in excruciating burns if it comes in contact with your skin and can permanently harm your eyes if it gets in your eyes.
Thus, Vinegar, or acetic acid, may also burn your skin and eyes, but it is insufficiently potent to serve as a drain cleaner.
Water is certainly not a particularly strong acid, despite the fact that we know it can serve as a proton donor.
It has a proton to provide, even hydroxide ions may theoretically act as acids. However, this is not a response that we often regard to be significant in all but the most extreme circumstances.
Thus, Concentrated sulfuric acid will result in excruciating burns if it comes in contact with your skin and can permanently harm your eyes if it gets in your eyes.
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The temperature of a gas stream is to be measured by a thermocouple whose junction can beapproximated as a 1.2-mm-diameter sphere. The properties of the junction are k =35 W/m °C, p=8500kg/m3, and Cp = 320 J/kg °C, and the heat transfer coefficient between the junction and the gas is h=65W/m2 °C. Determine how long it will take for the thermocouple to read 99 percent of the initialtemperature difference. (∅/∅i= 0.01)
it will take 30.65 minutes for the thermocouple to read 99 percent of the initial temperature difference. (∅/∅i = 0.01).
The temperature of a gas stream is to be measured by a thermocouple whose junction can be approximated as a 1.2-mm-diameter sphere. So, the radius, r = 0.6 mm = 0.0006 m, the volume of the sphere, V = (4/3)πr³, and the area of the sphere, A = 4πr².
The properties of the junction are k = 35 W/m °C, p = 8500 kg/m³, and Cp = 320 J/kg °C, and the heat transfer coefficient between the junction and the gas is h = 65 W/m² °C.
We have, thermal conductivity of the sphere = k = 35 W/m °C, density of the sphere = p = 8500 kg/m³, specific heat of the sphere = Cp = 320 J/kg °C, and heat transfer coefficient between the sphere and the gas, h = 65 W/m² °C.
The initial temperature difference is given by, ΔT₀ = 1°C = 1 K. Let, the time taken for the thermocouple to read 99% of the initial temperature difference, ΔT99 = 0.99 K.
Let, the thermal diffusivity of the sphere be,
α = k / (pCp) = (35 W/m °C) / (8500 kg/m³ x 320 J/kg °C) = 0.000012868 m²/s.
And, the Biot number is given by, Bi = (h x A) / k = [(65 W/m² °C) x 4π(0.0006 m)²] / (35 W/m °C) = 0.0492.
The equation for the unsteady-state temperature profile of a sphere is, θ(r,t) = Σ [(-1)n+1 / n] exp(-n²π²αt / r²) sin (nπr / R), where R is the radius of the sphere. We can estimate the time taken for the thermocouple to read 99% of the initial temperature difference using a semi-log plot of θ/ΔT vs. t/ti.
This plot is linear and of the form, θ/ΔT = 1 - A exp (-Bt/ti), where A = 0.01 and B = (nπ/R)².So, θ/ΔT = 0.99 = 1 - A exp (-Bt/ti), or 0.01 exp (-Bt/ti) = 0.01/0.99, or exp (-Bt/ti) = 1/99, or -Bt/ti = ln (1/99), or t/ti = ln (99).
Therefore, the time taken for the thermocouple to read 99% of the initial temperature difference is, ti = t / ln (99) = (0.000012868 m²/s) (0.6 mm)² / (35 W/m °C) ln (99) = 1838.98 s or 30.65 minutes.
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A 10.0 g piece of metal at 100 C is transferred to a calorimeter containing 50.0 mL of water initially at 23.0 C. Calculate the specific heat capacity of the metal if the heat capacity of the calorimeter, C cal, is 25.0 J/K. The final temperature, T final is 25.6 C.
The specific heat capacity of the metal is 0.73 J/g°C.
The specific heat capacity of the metal can be calculated from the equation
q = (m × c × ΔT)metal + (Ccal × ΔT)calorimeter,
where q is the heat absorbed by the calorimeter, m is the mass of the metal, c is the specific heat capacity of the metal, ΔT is the change in temperature, and Ccal is the heat capacity of the calorimeter.
The final temperature, Tfinal, is 25.6°C.
The heat absorbed by the calorimeter, q, can be calculated from the equation
q = mcΔT,
where m is the mass of the water and c is the specific heat capacity of water.
Since the calorimeter contains 50.0 mL of water, which has a density of 1.00 g/mL, the mass of the water is 50.0 g.
Therefore, the heat absorbed by the calorimeter is
q = (50.0 g) × (4.18 J/g°C) × (25.6°C − 23.0°C) = 544 J.
The heat absorbed by the metal can be calculated from the equation
qmetal = −qcalorimeter = −544 J.
Since the metal is transferred to the calorimeter at 100°C, the initial temperature of the metal, Ti, is 100°C.
Therefore, ΔTmetal = Tfinal − Ti = 25.6°C − 100°C = −74.4°C.
Since the metal has a mass of 10.0 g, the specific heat capacity of the metal can be calculated from the equation cmetal = qmetal ÷ (m × ΔTmetal) = −544 J ÷ (10.0 g × −74.4°C) = 0.73 J/g°C.
Therefore, the specific heat capacity of the metal is 0.73 J/g°C.
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An object is released from rest a height h above the ground. A second object with four times the mass of the first if released from the same height the potential energy of the second object compared to the first is a. four times moors. b. twice as much. c. the same d. sixteen times more.
Answer:
A. Four times
Explanation:
Gravitational Potential Energy (PE) is given as PE=mass*gravity*height
setting the equations of potential energy equal to each other for each object you get
m1gh=m2gh
then you can cancel out the gravity and height and get
m1=m2
then we know the mass of the second object is 4 times the mass of the first object so
m2=4m1
A particle moves along a straight line with velocity given by v\left( t \right) = 5 + {5^{\frac{t}{3}}} for t \geqslant 0. What is the acceleration of the particle at time t=4?
(A) 0.422
(B) 0.698
(C) 1.265
(D) 8.794
(E) 28.381
a(t) = v'(t) = \frac{d}{dt} [5 + 5^{\frac{t}{3}}] = 0 + \frac{5}{3} \cdot 5^{\frac{t}{3}-1}
We are asked to find the acceleration of the particle at time t=4, so we substitute t=4 into the acceleration function:
a(4) = \frac{5}{3} \cdot 5^{\frac{4}{3}-1} = \frac{5}{3} \cdot 5^{\frac{1}{3}} \approx 1.265
Therefore, the answer is (C) 1.265.
a centrifuge in a medical laboratory is rotating at an angular speed of 3600 rev/min. when switched off, it rotates 50 times before coming to rest. find the constant angular deceleration of the centrifuge.
The constant angular deceleration of the centrifuge is 225 rad/s².
Given data:
The initial angular speed of the centrifuge = ω1 = 3600 rev/minThe final angular speed of the centrifuge = ω2 = 0 rev/minThe number of rotations made by the centrifuge after the motor is switched off = N = 50 revolutions.Now, we need to find the constant angular deceleration of the centrifuge.
Since the angular deceleration is constant, we can use the formula of angular displacement:θ = ω1t - (1/2)αt²
Where:
θ = angular displacementω1 = initial angular velocityt = timeα = angular acceleration [constant]Let's calculate the total time taken by the centrifuge to come to rest.Number of revolutions made by the centrifuge after the motor is switched off = N = 50 revolutions.
The time period of one revolution = T = 60 s / 3600 rev. = 1/60 s/rev. The time taken to complete N revolutions = t = N × T = 50 × 1/60 = 5/6 s
Let's plug in the given values in equation (1):0 - 3600(5/6) = (1/2)α(5/6)²
On solving the above equation, we get:
α = 225 rad/s²Therefore, the constant angular deceleration of the centrifuge is 225 rad/s².
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when a star depletes its core supply of hydrogen and enters the red giant stage, dominates in the core and dominates in the atmosphere.
When a star depletes its core supply of hydrogen and enters the red giant stage, helium dominates in the core, and hydrogen dominates in the atmosphere.
Let's discuss this in detail. Star depletes its core supply of hydrogenWhen a star exhausts its core supply of hydrogen, it begins to convert helium into carbon and oxygen in its core. This process leads to the formation of a heavier core which contracts and increases in temperature. As a result, the temperature of the core increases to the point where it can initiate helium fusion, producing carbon and oxygen. At the same time, the outer shell of the star cools and expands. Dominates in the core and dominates in the atmosphere in the core of a red giant star, helium dominates since this is where helium fusion occurs. The star's atmosphere is, on the other hand, dominated by hydrogen because it is cooler and less dense than the core. The helium-burning phase is shorter than the hydrogen-burning phase in a star's life cycle. When a star enters the red giant phase, it indicates that the core of the star has depleted its hydrogen and is now converting helium to heavier elements. This stage will not last long as the core will continue to contract and heat up, resulting in the production of heavier elements.
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The nebular theory of the formation of the solar system successfully predicts all but one of the following. Which one doe the theory not predict.
- The equal number of terrestrial and jovian planets (with the exception of Pluto) Does predict
- The craters on the moon - planets orbit around the Sun in nearly circular orbits in a flattened disk. the compositional differences between the terrestrial and jovian planets. - the presence of asteroids and comets.
The nebular theory of the formation of the solar system does not predict the craters on the moon.
According to this theory, the solar system formed from a rotating disk of dust and gas that was composed of the same material. Over time, this material condensed to form the planets.
The presence of asteroids and comets, the nearly circular orbits in a flattened disk, and the compositional differences between the terrestrial and jovian planets (with the exception of Pluto) are all successfully predicted by this theory.
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a friend of yours is loudly singing a single note at 401 hz while racing toward you at 24.3 m/s on a day when the speed of sound is 347 m/s .a. What frequency do you hear? b. What frequency does your friend hear if you suddenly start singing at 400 Hz? c. Once your friend reaches you, and you are next to each other (essentially at the same location) and not moving, your friend sings 400 Hz. You are also singing. If you hear 3 beats per second, what frequency are you singing?
The frequency of the sound heard is about 438.12 Hz and the frequency at which you are singing is 397 Hz.
What frequency do you hear?Since the sound is propagating towards you at a speed of v = 347 m/s, the frequency detected by an observer with a velocity of u = 24.3 m/s (you) can be calculated with the Doppler effect equation:
fobs = fsrc × (v + u) / (v + usrc)
where, fsrc = 401 Hz (source frequency), usrc = 0 (velocity of the source), u = 24.3 m/s, v = 347 m/s
Replacing the given values we have: fobs = 401 × (347 + 24.3) / (347 - 0) = 466.93 Hz
The frequency that you hear is 466.93 Hz.
In this case, the source is you and you are moving towards your friend with a velocity of 24.3 m/s. Therefore, the frequency detected by your friend with a velocity of v = 347 m/s can be calculated as:
fobs = fsrc × (v + usrc) / (v - u)
where, fsrc = 400 Hz (source frequency), usrc = 0 (velocity of the source), u = 24.3 m/s, v = 347 m/s
Replacing the given values we have:
fobs = 400 × (347 + 0) / (347 - 24.3) = 438.12 Hz
The beat frequency can be calculated by taking the absolute difference of the two frequencies. In this case, the beat frequency is 3 Hz. Since the beat frequency is given by:
beat frequency = |f1 - f2|
We can write the following equation: f2 = f1 - beat frequency
where, f1 = frequency of your friend = 400 Hz, beat frequency = 3 Hz
Replacing the given values we have: f2 = 400 - 3 = 397 Hz
Therefore, the frequency you are singing is 397 Hz.
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When the price of radios decreases 5%, quantity demanded increases 5%. The price elasticity of demand for radios is ________ and total revenue from radio sales will ________.
Price elasticity of demand for radios is 1 and total revenue from radio sales will remain constant.
Price elasticity of demand is calculated as the percentage change in quantity demanded divided by the percentage change in price. Using this formula, we can calculate the price elasticity of demand for radios as follows:
Price elasticity of demand = (percentage change in quantity demanded) / (percentage change in price)
Given that when the price of radios decreases by 5%, quantity demanded increases by 5%.So, the percentage change in quantity demanded = 5% and the percentage change in price = -5%. (Because price has decreased by 5%.)Price elasticity of demand = (5% / -5%) = -1.The negative sign indicates that the demand is elastic. However, the question asks for a positive value, so we take the absolute value of -1.Price elasticity of demand = 1.
Therefore, the price elasticity of demand for radios is 1.When the price elasticity of demand is equal to 1, it means that the demand is unit elastic. This implies that the percentage change in quantity demanded is equal to the percentage change in price. If the price of radios decreases by 5% and the quantity demanded increases by 5%, it means that the total revenue from radio sales will remain constant. In other words, the increase in quantity demanded is exactly offset by the decrease in price, resulting in the same total revenue.
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~An AC voltage source with What is the rate of peak Output of 262 V, is connected t0 33-02 energy dissipated due to heat in the resistor? resistor. 2080 W 1040 W C. 520 W D. 1471 W 662 W
The energy dissipated an AC voltage source with peak Output of 262 V due to heat in the resistor is 1471 W.
The rate of peak output voltage from the AC voltage source is 262 V. The energy dissipated due to heat in the resistor can be calculated using the formula P=V²/R, where P is the power (in Watts), V is the voltage (in Volts), and R is the resistance (in Ohms). So, using the values provided, we have:
P = 262²/33.02
P = 1471 W
Therefore, the energy dissipated due to heat in the resistor is 1471 W.
We know that the peak voltage (Vp) of an AC voltage source is given asVp = √2 × VrmsVp = √2 × 262Vp = 371.7V. The voltage across the resistor is given by the peak voltage of the source, which is 371.7V.The resistance of the resistor is 33 ΩWe know that the formula to calculate power (P) is given as P = V² / R Where V is the voltage across the resistor R is the resistance of the resistor. As the power is given, we can find the energy by using the formula:E = P × t Where E is the energy dissipated due to heat in the resistor, P is the power, t is the time.
*Complete question: An AC voltage source with peak Output of 262 V, is connected to a 33-02 resistor. What is the rate of energy dissipated due to heat in the resistor? . 2080 W 1040 W C. 520 W D. 1471 W 662 W
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all the photons produced in the sun's core have been absorbed by the outer edge of what region of the sun?
The outer edge of the photosphere of the sun is the region where all the photons produced in the sun's core are absorbed. Therefore, the correct option is (C) Photosphere.
What is the Photosphere?The photosphere is the outermost region of the sun's atmosphere that is visible. It is a thin layer of gas that generates the visible light that we see. It is the region of the sun that has the greatest intensity of light and the lowest temperature.
The light that passes through the photosphere of the sun is then absorbed and re-emitted at various wavelengths by the other parts of the sun's atmosphere, such as the chromosphere and corona. Consequently, the photosphere is the only region of the sun that we can directly observe.
What is the core of the sun?The sun's core is the area where the fusion of hydrogen atoms takes place, producing tremendous amounts of energy that are emitted as light and heat. The core of the sun is the primary source of energy for all the planets in the solar system, as well as for life on Earth.
The core of the sun has a temperature of roughly 15 million degrees Celsius and a density of about 150 times that of water. It is shielded from us by the sun's outer layers, making it impossible to see it directly. However, through studying the light and other radiation emitted by the sun, scientists can gain a better understanding of the processes that occur in the sun's core.
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A child sleds down a frictionless hill with vertical drop h. At the bottom is a level stretch where the coefficient of friction is 0.27.If she slides 19 m across the level stretch, what's h? Express your answer with the appropriate units.
E = mgh
where m is the mass of the sled, g is the acceleration due to gravity, and h is the height of the hill.
At the bottom of the hill, all of the potential energy has been converted into kinetic energy, which is given by:
E = (1/2)mv^2
where v is the velocity of the sled at the bottom of the hill.
When the sled reaches the level stretch, the kinetic energy is converted into work done by the friction force, which is given by:
W = fd
where f is the friction force and d is the distance traveled across the level stretch.
Setting the potential energy at the top of the hill equal to the work done by the friction force on the level stretch, we have:
mgh = fd
Solving for h, we get:
h = (fd)/(mg)
Substituting the given values, we get:
h = (0.27)(m)(9.8 m/s^2)(19 m)/(m)(9.8 m/s^2)
Simplifying, we get:
h = 5.13 m
Therefore, the height of the hill is 5.13 meters.
3. Ranbir is a teenager who is just learning to drive. Pahal is his younger brother. Ranbir's father often criticizes his driving and yells
at him when he does something wrong. Pahal watches closely to learn exactly what not to do when he learns to drive in a couple
years. This is an example of what type of social learning?
vicarious conditioning
modeling
operant conditioning
tutelage
a 1950 kg oldsmobile traveling east on saginaw street at 15.4 m/s is unable to stop on the ice covered intersection for a red light at abbott road. the car collides with a 3992 kg truck hauling animal feed north on abbott at 9.9 m/s. the two vehicles remain locked together after the impact. calculate the velocity of the wreckage immediately after the impact. give the speed for your first answer and the compass heading for your second answer. (remember, the capa abbreviation for degrees is deg)
The velocity of wreckage immediately after impact = 9.68 m/s and the compass heading is 45 deg (for the second answer).
Mass of 1950 kg Oldsmobile = 1950 kg
Velocity of Oldsmobile = 15.4 m/s
Mass of a truck hauling animal feed = 3992 kg
Velocity of a truck hauling animal feed = 9.9 m/s
Conservation of Momentum Formula Used,
Momentum before collision = Momentum after collision(m1 × v1) + (m2 × v2) = (m1 + m2) × V'
Calculation for Momentum before Collision = (m1 × v1) + (m2 × v2)
Momentum before Collision = (1950 kg × 15.4 m/s) + (3992 kg × 9.9 m/s)
Momentum before Collision = 30129 + 39560.8
Momentum before Collision = 69689.8 kg-m/s
Let V' be the velocity of the wreckage immediately after the impact.
Velocity after Collision is V'
Calculation for Velocity after Collision = (m1 × v1) + (m2 × v2) / (m1 + m2)V'
= (1950 × 15.4) + (3992 × 9.9) / (1950 + 3992)V'
= 57606.8 / 5942V'
= 9.68 m/s
Given, the 1950 kg car was traveling East on Saginaw Street which means the wreckage was moving North-East (45 degrees)
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an airplane flies due west at an airspeed of 425 mph. the wind is blowing from the northeast at 40 mph. what is the ground speed of the airplane? what is the bearing of the airplane?
An airplane flies due west at an airspeed of 425 mph and the wind is blowing from the northeast at 40 mph, the ground speed of the airplane is 385 mph, and the bearing of the airplane is 285°.
We can use the equation
GS = AS + (Wind x cos(Θ)),
Where GS is the ground speed, AS is the airspeed, and Θ is the angle between the wind and the heading of the airplane. the airspeed is 425 mph, the wind is blowing from the northeast at 40 mph, and the heading of the airplane is due west. The angle Θ is 90°. Plugging these values into the equation, we get
GS = 425 + (40 x cos(90°)) = 385 mph.
To calculate the bearing of the airplane, we can use the equation
Bearing = 180° - (Θ + (Wind ÷ AS) x 180°).
Θ is 90°, the wind is 40 mph, and the airspeed is 425 mph.
Plugging these values into the equation, we get
Bearing = 180° - (90° + (40 ÷ 425) x 180°) = 285°.
Hence , airplane flies due west at an airspeed of 425 mph and the wind is blowing from the northeast at 40 mph, the ground speed of the airplane is 385 mph, and the bearing of the airplane is 285°.
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44. The force of friction between an object and the surface upon which it is sliding is 12N and
the coefficient of friction between them is 0.70. What is the weight of the object?
The force of friction between an object and the surface upon which it is sliding can be expressed as:
frictional force = coefficient of friction × normal force
where the normal force is the force exerted by the surface on the object perpendicular to the surface. We can use this equation to solve for the weight of the object.
frictional force = 12 N
coefficient of friction = 0.70
frictional force = coefficient of friction × normal force
12 N = 0.70 × normal force
normal force = 12 N / 0.70
normal force = 17.14 N
Since weight is the force exerted by gravity on the object, we can now calculate the weight of the object:
weight = mass × gravitational acceleration
We need to know the mass of the object to calculate its weight. We can use the formula:
weight = mass × gravitational acceleration
mass = weight / gravitational acceleration
The standard value for the acceleration due to gravity is 9.81 m/s²
weight = mass × 9.81 m/s²
mass = weight / 9.81 m/s²
Substituting normal force for weight, we get:
mass = normal force / 9.81 m/s^2
mass = 17.14 N / 9.81 m/s²
mass = 1.75 kg
Therefore, the weight of the object is:
weight = mass × gravitational acceleration
weight = 1.75 kg × 9.81 m/s²
weight = 17.15 N
The weight of the object is 17.15 N.
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The weight of the object is according to the given question is 17.16N.
Calculation of the given problem :-
The force of friction between an object and the surface can be found using the formula:
friction = coefficient of friction x normal force
where the normal force is the force perpendicular to the surface that the object is resting on.
In this case, we know that the friction force is 12N and the coefficient of friction is 0.70. Therefore, we can rearrange the formula to solve for the normal force:
normal force = friction / coefficient of friction
normal force = 12N / 0.70
normal force = 17.14N
The weight of the object is equal to the force of gravity acting on it, which is given by:
weight = mass x gravity
where gravity is approximately 9.81 m/s^2. We need to find the mass of the object in order to calculate its weight.
mass = normal force / gravity
mass = 17.14N / 9.81 m/s^2
mass = 1.75 kg
Therefore, the weight of the object is:
weight = mass x gravity
weight = 1.75 kg x 9.81 m/s^2
weight = 17.16N (rounded to two decimal places)
So the weight of the object is approximately 17.16N.
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Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y^7 about the line y = 1. Volume =______
The volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y^7 about the line y = 1 is 0.
To determine the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y^7 about the line y = 1, we need to use a specific integral formula.
The volume of the solid is calculated by multiplying the area of the cross-section of the solid, which is perpendicular to the axis of rotation, with the distance traveled by the center of mass of the cross-section. And, when this product is summed up across the length of the solid, we get the volume of the solid.
To solve the given problem, the area of the cross-section of the solid is [tex]\pi (r)^2[/tex], where r is the distance from the line y = 1 to the curve [tex]x = y^7[/tex]. Since the cross-section is a circle, we know the area of the cross-section can be represented by the equation of a circle with radius r, which is [tex]\pi (r)^2[/tex].
To find the value of r, we will equate [tex]x = y^7[/tex] to the line y = 1. By solving for y, we get: [tex]y = 1^{1/7} = 1[/tex].
Hence, r = 1 - 1 = 0.
We can now compute the volume of the solid using the integral formula:
[tex]V =\int_0^1 \pi (r)^2 dy\\V = \int_0^1 \pi (0)^2 dy\\V = \int_0^1 0 dy\\V = 0[/tex]
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Mary and Sally are in a foot race. When Mary is 22m from the finish line, she has a speed of 4.0 m/s and is 5.0m behind Sally, who has a speed of 5.0 m/s. Sally thinks she has an easy win and so, during the remaining portion of the race, decelerates at a constant rate of 0.36 m/s^2 to the finish line. What constant acceleration does Mary now need during the remaining portion of the race, if she wishes to cross the finish line side-by-side with Sally? Express your answer to two significant figures and include the appropiate units.
Answer: poop
Explanation:
Exercise 11.11 Using the known radius of the Earth and that g =9.80m/s at earth surface ,find the average density of the Earth
. Two forces 10N and 20N are inclined at an angle 60° to each other. Find the resultant force by graphic and by mathematical methods. If the two forces are now made to be inclined at 120" to each other, find the magnitude of the new resultant force.
Answer:
Explanation:
Graphic Method:
To solve this problem graphically, you will need to draw a vector diagram. Draw the two forces 10N and 20N as vectors originating from the same point, with the angle between the vectors being 60°. Then, draw the resultant vector that joins the tail of the first vector to the head of the second vector. The magnitude of the resultant vector is the magnitude of the resultant force.
Mathematical Method:
To solve this problem mathematically, you will need to use the law of cosines. The law of cosines states that:
R² = A² + B² - 2ABcosϴ
Where R is the magnitude of the resultant vector, A and B are the magnitudes of the two vectors, and ϴ is the angle between the two vectors.
So, in this case, R² = 10² + 20² - 2(10)(20)cos60°
R² = 100 + 400 - 400cos60°
R² = 500 - 200
R = √300
Therefore, the magnitude of the resultant vector is √300N.
If the two forces are now made to be inclined at 120° to each other, the law of cosines states that:
R² = A² + B² - 2ABcosϴ
Where R is the magnitude of the resultant vector, A and B are the magnitudes of the two vectors, and ϴ is the angle between the two vectors.
So, in this case, R² = 10² + 20² - 2(10)(20)cos120°
R² = 100 + 400 - 400cos120°
R² = 500 + 200
R = √700
Therefore, the magnitude of the new resultant vector is √700N.
what are some of the potential drawbacks to switching from incandescent to compact fluorescent light bulbs?
Some potential drawbacks of switching from incandescent to compact fluorescent light bulbs are higher initial cost, sensitivity to temperature, and potential health hazards. Here is a more detailed explanation of these drawbacks:
Higher initial cost: Compact fluorescent light bulbs (CFLs) tend to cost more than incandescent bulbs, although they have a longer lifespan, so they ultimately save money over time. However, the higher initial cost may be a drawback for people who cannot afford to invest in the more expensive bulbs.Sensitivity to temperature: CFLs can be sensitive to extreme temperatures, which can cause them to burn out more quickly. For example, if a CFL is used in a cold garage or a hot attic, it may not last as long as an incandescent bulb that can handle these temperatures. This could be a problem for people who live in areas with extreme temperatures.Potential health hazards: CFLs contain a small amount of mercury, which can be harmful if the bulb breaks and the mercury is released. This means that CFLs need to be disposed of properly to avoid any potential health hazards. Incandescent bulbs do not contain mercury, so this is not a concern with these bulbs. This could be a drawback for people who are concerned about the environment or who want to reduce their exposure to potentially harmful substances.Learn more about temperature: https://brainly.com/question/25677592
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fundamental questions early astronomers tried to answer were: 1) what is the shape and size of earth? 2) what are the distances from earth to the sun and moon? and 3) blank ?
The third fundamental question early astronomers tried to answer was: What are the motions of the planets and stars in the night sky?
The shape of the Earth is an oblate spheroid, and its approximate diameter is 12,742 km. The average distance from Earth to the Sun is 149,598,262 km, and the average distance from Earth to the Moon is 384,400 km. 3) What are the motions of the planets? The motions of the planets were observed by ASTRONOMES to be elliptical, with the Sun at one focus.
Early astronomers were curious to understand the shape and size of Earth, as well as the distances from Earth to the Sun and Moon. Additionally, they were interested in determining the motions of the planets and stars in the night sky.
The ancient Greeks believed that the universe was a series of concentric spheres with the Earth in the center. Aristotle, a Greek philosopher, believed that the Earth was at the center of the universe, and that everything else, including the stars and planets, orbited around it. The Greek philosopher Eratosthenes was the first to calculate the Earth's circumference. He did so by measuring the angle of the sun's rays at noon on the summer solstice at two different locations and using the difference to estimate the distance between the two places.
In conclusion, early astronomers attempted to answer fundamental questions regarding the shape and size of Earth, the distances from Earth to the sun and moon, and the motion of stars and planets in the sky .
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Rank these hypothetical moons from oldest to youngest based on their cratering. You can assume the moons have never been volcanically active.-a moon with very few craters-a moon completely covered in craters, old and new-a moon partially covered with craters
We can see the moons should be ranked in the following order from oldest to youngest:
A moon completely covered in craters, old and newA moon partially covered with cratersA moon with very few cratersWhat is a moon?A moon is a natural satellite that orbits a planet. Moons are typically much smaller than their parent planets and are held in orbit by the planet's gravity. They come in a variety of sizes and shapes, and can be composed of a wide range of materials, such as rock, ice, or a mixture of both.
Moons play an important role in our solar system. They help stabilize the orbits of planets, contribute to tidal forces, and may even play a role in the formation and evolution of planets themselves.
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What provides electrons for the light reactions?
"Water from photosynthesis provides the electrons for the light reactions in photosynthesis."
The process of photosynthesis is used by plants, algae, and some microbes to produce food from sunlight, carbon dioxide, and water. The substance chlorophyll can be found in an organelle called the chloroplast or in the membrane of organisms that can perform photosynthesis.
The light reactions and the dark reactions are the two major stages of photosynthesis. Utilize sunshine to produce the energy-containing molecules required for the dark reactions during the light reactions. Electrons from chlorophyll are excited to the electron transport pathway during the light reactions. The chlorophyll, which is loaded with electrons from water, has a hole left by the electrons. When water breaks apart, the chlorophyll fills with electrons, and two oxygen atoms join forces to create oxygen gas. The factory releases this as a waste product.
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state newtons second law
Answer:
A force applied to an object is equal to its mass times acceleration (F=ma)
Explanation:
Answer: The force can be calculated by simply multiplying mass by acceleration
Explanation:
This created the equation F=MA
A current I, is established in a long, straight wire, and a square conducting loop is placed close to the wire, as shown in the figure. The current in the wire creates a current I, in the loop in the direction shown. Which of the following statements could be a correct explanation of how the current is created in the conducting loop? A. The magnetic field generated by the straight wire creates a force on the positive charges in the loop, resulting in the current I2. B. The magnetic field generated by the straight wire creates a force on the negative charges in the loop, resulting in the current I2. C. The magnetic field generated by the straight wire is stronger on the side of the loop closer to the wire, resulting in the current I2. D. I1 is increasing, and the increasing magnetic flux through the loop results in the current I. E. I1 is decreasing, and the decreasing magnetic flux through the loop results in the current I
The closer the loop is to the straight wire, the greater the magnetic field it produces, producing the current I2.
When an infinitely long current-carrying wire is positioned close to a square conducting loop?Since the nearest edge of the square loop and the current in an infinitely long wire both flow upward, there is an attraction between the two objects.
In the event that the current in the straight wire increases, which way will the induced current flow in the loop?The magnetic field created by a straight wire increases along with the current. The loop's flux is expanding and getting stronger. The generated current should only cause internal flux.
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What is the speed of acceleration of a free-falling object?
A. 8.9 m/s
B. 9.8 m/s
C. 9.8 m/min
D. 8.9 m
Answer:
B because acceleration due to gravity is 9.8 meter per second square
If the 0. 100-mm diameter tungsten filament in a light bulb is to have a resistance of 0. 200 ω at 20. 0oc , how long should it be?
The length is 2.78 mm if the 0. 100-mm diameter tungsten filament in a light bulb is to have a resistance of 0. 200 ω at 20 degrees.
The length tungsten filament is 2.78 mm to have a resistance of 0. 200 ω at 20. degrees.
The given data is as follows:
Diameter of tungsten = 0.100 mm
resistance of tungsten = 0.200ω
The resistance (R) of a conductor is calculated by using the formula,
R = ρ × (L/A)
ρ = resistivity of the material
L = length of the conductor
A = cross-sectional area.
By rearranging the formula to calculate the length,
L = (R × A) / ρ
A = π × r²
A = 3.14 × (5.0 x [tex]10^{-5}[/tex])²
A = 7.85 x [tex]10^{-9}[/tex] m²
The resistivity of tungsten at 20.0°C = 5.6 x [tex]10^{-8}[/tex] Ωm
L = (0.200 × 7.85 x [tex]10^{-9}[/tex]) / (5.6 x [tex]10^{-8}[/tex])
L = 2.78 x [tex]10^{-3}[/tex] m
L = 2.78 mm
Therefore we can conclude that the length is 2.78 mm to have a resistance of 0. 200 ω at 20 degrees.
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Which of the following best describes the relationship between the new moon phase and constellations?A During the new moon phase, constellations take on different shapes due to a lackof moonlightB During the new moon phase, constellations are on the same side of the earth asthe sunC During the new moon phase, constellations are easier to see due to a lack ofmoonlightD During the new moon phase, constellations are easier to see due to increasedsunlight
The correct option that describes the relationship between the new moon phase and constellations is: During the new moon phase, constellations are on the same side of the earth as the sun.
New Moon Phase and ConstellationsThe moon revolves around the Earth, and the Earth revolves around the sun. Because of this motion, the sun and the moon occupy different locations in the sky during various periods of the day and night.New moon phase: A new moon occurs when the moon is located between the Earth and the sun. During the new moon phase, the side of the moon that faces Earth is dark, and we cannot see the moon because the sun's light does not reflect off it towards Earth.Constellations: The term "constellation" refers to a particular configuration of stars that appears to be connected from Earth's perspective. Constellations have no physical connection; they are just stars that appear to be close to each other.New Moon Phase and Constellations RelationshipDuring the new moon phase, the Earth is between the sun and the moon. So, constellations are on the same side of the Earth as the sun, and are thus hidden from view. Therefore, the correct option that describes the relationship between the new moon phase and constellations is: During the new moon phase, constellations are on the same side of the earth as the sun.
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