The ratio of the kinetic energy of projectile B to projectile A is 4:1.
The kinetic energy (KE) of an object is given by the formula
KE = 1/2 * m * v^2
where m is the mass of the object and v is its velocity.
Assuming the two projectiles have the same mass, we can compare their kinetic energies based solely on their velocities:
KE_B/KE_A = (1/2 * m * v_B^2)/(1/2 * m * v_A^2)
= (v_B^2/v_A^2)
Substituting the values given in the problem:
KE_B/KE_A = (600 m/s)^2 / (300 m/s)^2
= 4
Therefore, the ratio of the kinetic energy of projectile B to projectile A is 4:1. Projectile B has four times the kinetic energy of projectile A.
What is kinetic energy?
Kinetic energy is the energy an object possesses by virtue of its motion. It is a scalar quantity that depends on the mass and velocity of the object.
To know more about kinetic energy, visit:
https://brainly.com/question/26472013
#SPJ1
How would you ensure that the food you have prepared remains hot till you reach to hospital?
A 0.35-kg piece of putty is dropped from a height of 2.5 m above a flat surface. When it hits the surface, the putty comes to rest in 0.30 s. What is the average force exerted on the putty by the surface?
The average force exerted on the putty by the surface is 0 N this means that the putty experiences no net force and does not accelerate during the 0.30 s it takes to come to rest.
To answer this problem, we may apply the average force equation, which states that average force equals momentum change divided by the period during which the force occurs.
Initially, we must determine the putty's starting momentum. We may employ the momentum equation, which asserts that momentum equals mass times velocity. Because the putty is dropped from rest, its initial velocity is zero, as is its initial momentum.
The ultimate momentum of the putty must then be determined. The putty's final velocity is also zero since it comes to rest. As a result, the putty's ultimate momentum is similarly zero.
Finally, we can substitute the values we found into the equation for average force:
Average force = change in momentum/time interval
= 0 / 0.30
= 0 N
Learn more about the average force at
https://brainly.com/question/29781083
#SPJ4
In which of the following cases is the largest force exerted on an object by electromagnetic radiation? a) The radiation is absorbed by the object. b) Nearly all of the radiation is transmitted through the object because it is transparent. C) The radiation strikes the surface at a large angle with respect to the normal to the surface. (d) The radiation is reflected back along its incident path e) In all of the above cases the force will be the same since it is the same light striking the object.
The largest force exerted on an object by electromagnetic radiation is d) The radiation is reflected back along its incident path.
What is electromagnetic radiation?The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR). It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum.
Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light, in a vacuum. The oscillations of the two fields create a transverse wave in homogeneous, isotropic media when they are perpendicular to each other, perpendicular to the direction of energy and wave propagation, and perpendicular to each other.
What is electromagnetic spectrum?The range of electromagnetic radiation's frequencies, along with their corresponding wavelengths and photon energies, is known as the electromagnetic spectrum.
The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves that are contained within each of these bands have different names; starting at the low-frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.
To know more about photon, visit:
https://brainly.com/question/20912241
#SPJ1
What are some examples of movement of water near where you live?
Answer: Movement of Water. Surface movement includes rivers, streams, creeks, lakes, ponds, and human-made "flood" control.
Water bodies—such as rivers and streams—flow downhill until they flow into larger bodies of water—such as lakes and oceans. Some rivers and streams can flow over large surface areas; for example, the Amazon River flows across 4,345 miles of the continent of South America.
Two long parallel wires placed side by side on a horizontal table carry the same currents in opposite directions. The wire on your right carries current toward you, and the wire on your left carries current away from you. Determine the direction of the magnetic field at the point exactly midway between the two wires from your point of view. Explain your answer with the aid of labelled diagram. [5 marked
To find:-
Magnetic field at the centre between the wires.Answer:-
We are here given that two long current carrying wires are having same current. We need to find out the magnetic field at the centre between the wires .
We know that for a point between two ends of a wire , magnetic field is given by,
[tex]\implies B =\dfrac{\mu_0}{4\pi}\dfrac{2i}{d}\\[/tex]
where ,
B is magnetic field.i is the current.d is the distance .Now since magnetic field is a vector quantity we need to find out the direction of the field . We can do so by using Right Hand thumb rule .
Right hand thumb rule :-
Hold the wire , in your hand with thumbs towards the direction of the current, then the curling of the fingers would give you the direction of the magnetic field.
For wire AB :-
The direction comes to be down the page .
For wire CD :-
The direction comes to be down the page .
Calculating net magnetic field:-
The net magnetic field will be the sum of both the fields .
[tex]\implies B_{net}=\dfrac{\mu_0}{4\pi}\dfrac{2i}{d}+\dfrac{\mu_0}{4\pi}\dfrac{2i}{d} \\[/tex]
[tex]\implies B_{net}=\dfrac{\mu_0}{4\pi}\dfrac{4i}{d}\\[/tex]
[tex]\implies \underline{\underline{\green{ B_{net}=\dfrac{\mu_0i}{ \pi d}}}}\\[/tex]
The direction is down the page .
and we are done!
5. In the diagram below, Aircraft A is flying East and maintaining a groundspeed of 340 kt (a kt = speed of 1 NM / hr). Aircraft B is flying in the same direction as aircraft A but 210 NM ahead, maintaining a ground speed of 280 kt. Aircraft A will catch Aircraft B at Point ‘X’. What distance will Aircraft B have travelled when this event occurs?
For the event to occur, Aircraft B will have travelled a distance of 980 NM.
How to calculate distance?Since Aircraft A is flying East, we can assume that the positive direction is to the East and negative direction is to the West. Let's assume that the position of Aircraft A is x and position of Aircraft B is x + 210 NM.
Let t be the time it takes for Aircraft A to catch up with Aircraft B. At that moment, both aircraft will be at the same position, so:
distance traveled by Aircraft A = distance traveled by Aircraft B
Ground speed x time = Ground speed x time + 210
Using the given ground speeds, we can set up the equation as:
340t = 280t + 210
60t = 210
t = 3.5 hours
Therefore, Aircraft B will have traveled a distance of:
distance = ground speed x time
distance = 280 kt x 3.5 hr
distance = 980 NM
So, Aircraft B will have traveled 980 NM when Aircraft A catches up with it at Point X.
Find out more on Aircraft here: https://brainly.com/question/31362675
#SPJ1
think back to what you've done so far - what are the factors that affect the temperature of the earth?
Greenhouse gases, Albedo , Orbital variations ,Solar radiation and Volcanic activity these are the factors that affect the temperature of the earth.
There are many factors that affect the temperature of the Earth, including the following:
Greenhouse gases: Certain gases, such as carbon dioxide, methane, and water vapor, trap heat in the Earth's atmosphere and cause the planet to warm up. As greenhouse gas emissions increase due to human activity, such as burning fossil fuels, the Earth's temperature is expected to continue to rise.
Albedo: This is a measure of how much light the Earth reflects back into space. When the Earth's surface is covered in snow or ice, it has a high albedo and reflects more light. When the Earth's surface is covered in dark vegetation or water, it has a low albedo and absorbs more light, which causes it to warm up. Changes in land use, such as deforestation, can also affect the Earth's albedo.
Orbital variations: The Earth's orbit around the sun changes over time due to gravitational interactions with other planets. These variations can affect the amount of sunlight that reaches different parts of the Earth and cause climate patterns to shift. For example, changes in the tilt of the Earth's axis can lead to changes in the seasons.
Solar radiation: The amount of energy the Earth receives from the sun varies over time due to changes in the sun's output and the Earth's position in its orbit. This can affect the Earth's climate, especially over long periods of time. For example, changes in solar radiation are thought to have contributed to past ice ages.
Volcanic activity: When a volcano erupts, it releases large amounts of gases and particles into the atmosphere. This can cause the Earth's temperature to drop temporarily by blocking sunlight. However, over longer periods of time, volcanic activity can also release greenhouse gases and cause the Earth to warm up.
for such more question on temperature
https://brainly.com/question/26866637
#SPJ11
Which correctly describes a different evolutionary stage of a star like the sun?
A) it’s forms from a cold, dusty molecular cloud
B) During a yellow giant stage, it burns carbon in its core and helium in the shell surrounding the core.
C) After leaving the main sequence, its core is stable due to electron degeneracy
D) It becomes a white dwarf after exploding as a supernova
E)During a red giant stage, its core contracts and cools
Answer:
Explanation:
The correct option that describes a different evolutionary stage of a star like the sun is:
D) It becomes a white dwarf after exploding as a supernova
This is because a star like the sun does not have enough mass to undergo a supernova explosion. After it has exhausted all the fuel in its core, it will evolve into a red giant and then a planetary nebula, leaving behind a small, hot, dense remnant known as a white dwarf. Supernovae occur in much more massive stars that have cores that can collapse to form a neutron star or black hole.
center of mass vs gravity
In most mechanics problems the gravitational field is assumed to be uniform. The center of gravity is then in exactly the same position as the center of mass. The terms center of gravity and center of mass tend to often be used interchangeably since they are often at the same location
An 70 N crate slides with constant speed a distance of 3.8 m downward along a rough slope that makes an angle of 45° with the horizontal. The coefficient of kinetic friction between the crate and the supporting material is 0.05. The work done by the force of gravity is:
The answer is that the total work done by the forces acting on the crate is 272.8 J.
Given dataMass of crate: 70 NDistance traveled: 3.8 mAngle of slope: 45°Coefficient of kinetic friction: 0.05Force of gravity: mg Work done by gravity: mg∆h Work done by friction: Ff∆s Total work done: 272.8 JUsing the expression for work done below, we have
W = mg∆h = (70 N)(9.81 m/s2)(3.8 m)sin(45°) = 261.8 J
The work done by the frictional force is:
W = Ff∆s = (70 N)(0.05)(3.8 m) = 11.0 J
Therefore, the total work done by the forces acting on the crate is 261.8 J + 11.0 J = 272.8 J.
Learn more about work done here:
https://brainly.com/question/25573309
#SPJ1
the push button of a faucet can be considered a spring mass damper system. the mass of the button is 0.1 kg. calculate the following: g
From the calculation that have been done it is clear that the weight of the button is 0.98 N.
What is weight?Weight is the force exerted on an object due to gravity. It is a measure of the amount of gravitational force that is acting on an object, and is determined by the mass of the object and the strength of the gravitational field it is in.
From;
W = mg
W = 0.1 kg * 9.8 m/s^2
W = 0.98 N
Weight is commonly measured in units of force, such as pounds or newtons, and is different from mass, which is a measure of the amount of matter in an object and is typically measured in units of kilograms or grams.
Learn more about weight:https://brainly.com/question/10069252
#SPJ1
Missing parts;
the push button of a faucet can be considered a spring mass damper system. the mass of the button is 0.1 kg. calculate the following: weight of the button
is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.
Bending allowance is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.
When running conduit, bending is necessary to go around obstructions like structural members or corners. In order to avoid the use of too many fittings and to make installation faster and more efficient, it is best to avoid angles less than 30 degrees.
When measuring conduit length, it is important to include the bending allowance. The length of the conduit required can be calculated using the following formula:
Bending allowance = (Conduit diameter x bending angle) x 0.0175
Where,
Bending allowance is the additional length of the conduit needed to make the bend.
Conduit diameter is the diameter of the conduit being used.
Bending angle is the angle of the bend being made.
0.0175 is the constant factor used in this calculation.
For example, suppose we have to bend a 1.5-inch diameter conduit around a corner with a 45-degree angle. The bending allowance for this conduit would be:
Bending allowance = (1.5 x 45) x 0.0175
Bending allowance = 1.4 inches
So, when measuring the length of the conduit required for this bend, 1.4 inches should be added to the length of the conduit required to make up for the bending allowance.
The amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle is called the bending allowance.
For similar question on Bending
https://brainly.com/question/16107975
#SPJ11
Question:-
___ is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.
In this picture I have a question
To determine the acceleration of each block, we need to apply the laws of motion and analyze the forces acting on each block.
Starting with Block A,the only force acting on it is the applied force P. The force of friction acting on Block A is equal to µN, where N is the normal force. Since Block B is resting on top of Block A, the normal force acting on Block A is equal to the weight of Block B plus the weight of Block A, which is (2m)g. Therefore, the force of friction acting on Block A is 0.25(2m)g.
Using Newton's second law,F = ma, we can write the equation of motion for Block A as P - 0.25(2m)g = (2m + m)a. Solving for a, we get a = (P - 0.25(2m)g)/(3m).
Moving on to Block B,the force acting on it is the tension in the cable CD, which is equal to the weight of Block B plus the weight of Block A, plus the force of friction acting between Block A and Block B. Using the same method as above, we can calculate the force of friction as 0.25mg. Therefore, the equation of motion for Block B can be written as T - 0.25mg = ma, where T is the tension in the cable.
Since the two blocks are moving together,their accelerations must be the same. Therefore, we can set the two equations equal to each other and solve for the tension T, which is equal to 0.75mg + P.
Finally,we can use the tension T to determine the acceleration of Blocks C and D, which are attached to Block B by the cables. Since the tension in the cables is the same throughout, the acceleration of Blocks C and D is also equal to a.
To know more about accelerations , visit :
https://brainly.com/question/12550364
#SPJ1
The acceleration of block A is 17.55 m/s^2
Calculation for the given question is as following :-
Since block B is being held in place by cable CD, it is not moving and therefore has no acceleration. Thus, we only need to consider the motion of block A.
To solve the problem, we can use Newton's second law, which states that the net force on an object is equal to its mass times its acceleration:
F_net = ma
where F_net is the net force acting on the object, m is the mass of the object, and a is its acceleration.
First, we need to calculate the net force acting on block A. There are two forces acting on block A: the applied force P and the force of friction f. The force of friction is given by:
f = mu*N
where mu is the coefficient of kinetic friction and N is the normal force acting on the block. The normal force is equal in magnitude to the weight of the block, which is:
N = mg
where g is the acceleration due to gravity. Thus, the force of friction is:
f = mu*mg
Substituting the given values, we get:
f = 0.2559.81 = 12.27 N
The net force acting on block A is therefore:
F_net = P - f
Substituting the given value of P and the calculated value of f, we get:
F_net = 100 - 12.27 = 87.73 N
Finally, we can calculate the acceleration of block A using Newton's second law:
a = F_net/m
Substituting the given value of m and the calculated value of F_net, we get:
a = 87.73/5 = 17.55 m/s^2
Therefore, the acceleration of block A is 17.55 m/s^2.
To know more about force visit :-
https://brainly.com/question/12785175
#SPJ1
Can someone check my answers? If I’m incorrect can you correct me? Thank you. Image below.
Refer to the attached image.
Overall: Parts (a) and (c) need to be corrected.
describe the direction in which the wire could be moved to produce the maximum potential difference across it ends, r and s
The direction in which the wire could be moved to produce the maximum potential difference across it ends, r and s at its ends R and S by moving left to right.
Potential difference, also known as voltage, is a measure of the difference in electric potential energy between two points in an electrical circuit. It is defined as the amount of work per unit of charge required to move an electric charge from one point to another point in an electric field.
In simple terms, potential difference refers to the difference in electric potential between two points in an electrical circuit. The greater the potential difference between two points, the more work is required to move electric charges between those points. This is because the electric charges experience an electric force that pushes them from a region of high potential energy to a region of low potential energy.
To learn more about Potential differencevisit here:
brainly.com/question/12198573
#SPJ4
My favorite sports team lost the game. Can I sue the opposing team for emotional trauma?
Answer:
No, you cannot sue the opposing team for emotional trauma resulting from your favorite sports team's loss. Sports are competitive events, and it is expected that one team will win and the other will lose. It is not a legal basis for a lawsuit.
Three inductors are connected in parallel. Inductor 1 has an inductance of 2.5 H, inductor 2 has an inductance of 1.8 H, and inductor 3 has an inductance of 1.2 H. What is the total inductance of this circuit?
The total inductance of the circuit is approximately 0.559 H.
When inductors are connected in parallel, the total inductance is given by the formula:
1/L = 1/L1 + 1/L2 + 1/L3
where L1, L2, and L3 are the inductances of the individual inductors.
Substituting the given values, we get:
1/L = 1/2.5 + 1/1.8 + 1/1.2
Simplifying the equation, we get:
1/L = 0.4 + 0.5556 + 0.8333
1/L = 1.7889
Taking the reciprocal of both sides, we get:
L = 1/1.7889
L ≈ 0.559 H
Therefore, the total inductance of the circuit is approximately 0.559 H.
What is an inductance ?
Inductance is a property of an electrical circuit or component, such as a coil or inductor, that opposes any change in the electric current flowing through it. It is a measure of the amount of magnetic energy that is stored in a circuit when a current is passed through it.
To know more about inductance, visit:
https://brainly.com/question/29981117
#SPJ1
Based on the excerpts, which statement best describes civil rights progress for Black people between 1855 and 2019?
Civil rights have primarily been driven by public officials and legislative action.
Advocates for the expansion of civil rights have often sought to take a slow and deliberate path.
Access to the ballot box is guaranteed for all through legislation, and this has been the case since after the Civil War.
It is no longer legal to enslave people, but it took violence and significant legislation to secure legal rights, while access to voting rights remains a challenge.
It is no longer legal to enslave people, but it took violence and significant legislation to secure legal rights, while access to voting rights remains a challenge.
What is significant ?The term "significant" can have different meanings depending on the context. In general, it implies that something is important, meaningful, or has a noteworthy impact or effect.
In the context of statistics, the term "significant" often refers to statistical significance, which is a measure of whether an observed effect or result is likely to be real and not just due to chance. A result is said to be statistically significant if the probability of obtaining that result by chance alone is very low, usually below a threshold of 5% or 1%.
In scientific research, a finding or result is considered significant if it has practical implications or contributes to the understanding of a particular phenomenon or field of study. It may also be significant if it challenges existing theories or beliefs and leads to new insights or discoveries.
To know more about significant visit :
https://brainly.com/question/28073266
#SPJ1
A body freely falling under the action of gravity passes two points 10 metres apart vertically In 0.2s. From what height, above the higher point did it start to fall?
Answer:
Explanation:
We can use the equation for free fall motion to solve this problem:
h = (1/2)gt^2
where:
h = height from which the body started to fall (what we want to find)
g = acceleration due to gravity (9.8 m/s^2)
t = time taken to fall 10 meters (0.2 s)
First, we need to find the velocity of the body when it passes the lower point. Since the body is freely falling, it will have the same velocity as an object thrown vertically downward from rest at the height from which it started to fall (h). We can use the equation for final velocity in free fall to find this velocity:
vf^2 = vi^2 + 2gh
where:
vf = final velocity (which is the velocity when the body passes the lower point)
vi = initial velocity (which is zero)
g = acceleration due to gravity (9.8 m/s^2)
h = height from which the body started to fall (what we want to find)
Rearranging the equation and substituting the known values, we get:
vf = sqrt(2gh)
vf = sqrt(2 × 9.8 m/s^2 × h)
vf = sqrt(19.6h) m/s
Now we can use this velocity to find the time taken by the body to travel the 10-meter distance between the two points:
vf = gt
t = vf/g = sqrt(19.6h)/9.8 s
Finally, we can substitute this value of t into the equation for height and solve for h:
h = (1/2)gt^2 = (1/2) × 9.8 m/s^2 × (sqrt(19.6h)/9.8 s)^2
h = (1/2) × h
h = 5 meters
Therefore, the body started to fall from a height of 5 meters above the higher point.
A rock on a string is whirled fast enough to move in a vertical circle as shown. Gravity is acting downward.What is the direction of the rock's acceler- ation at the position shown?
At the position shown in the diagram, the rock's acceleration is pointing towards the centre of the circle. This means that the acceleration is directed downwards, in the opposite direction of gravity. The acceleration is a vector, so it can be represented as "vertical", pointing directly downwards.
At the position shown, the direction of the rock's acceleration is downwards. This is because the force acting on the rock is gravity, which is pulling the rock towards the center of the circle. Thus, the direction of the acceleration is always towards the center of the circle in vertical circles.
The motion of the rock is a combination of uniform circular motion and free fall. When the rock is at the topmost point of the circle, its velocity is zero, and it begins to fall under the influence of gravity. At this point, the acceleration of the rock is solely due to gravity and is equal to g (acceleration due to gravity).As the rock moves down the circle, the force of gravity and the tension force acting on the string combine to provide a net force acting towards the center of the circle.
This provides the centripetal acceleration that keeps the rock moving in a circle. At the bottommost point of the circle, the tension force in the string becomes zero, and the acceleration of the rock is solely due to gravity, but this time it acts in the direction of the tension force (i.e., towards the center of the circle).
For more such questions on gravity
https://brainly.com/question/1752905
#SPJ11
to convert from mass of a to liters of b in a stoichiometry problem, which are the correct steps to follow? luoa
The volume of B can be calculated as follows: Volume of B = Mass of B / Density of B
When converting from mass of A to liters of B in a stoichiometry problem, the following steps must be followed:
Step 1: Write a balanced chemical equation representing the reaction between A and B.
Step 2: Calculate the molar mass of A and B.
Step 3: Convert the given mass of A to moles of A using the molar mass of A.
Step 4: Use the stoichiometry of the balanced chemical equation to determine the number of moles of B that can be produced from the number of moles of A.
Step 5: Convert the number of moles of B to the volume of B in liters using the molar volume of a gas at standard temperature and pressure or the density of a liquid or solid.
Step 1: Write a balanced chemical equation representing the reaction between A and B. The balanced chemical equation can be written as:
`nA + mB → xC + yD`Step
Step 2: Calculate the molar mass of A and B. Molar mass is the mass of one mole of a substance. It is expressed in grams per mole. Therefore, the molar mass of A and B can be calculated using their atomic masses.
Step 3: Convert the given mass of A to moles of A using the molar mass of A.
Moles of A = Mass of A / Molar mass of A
Step 4: Use the stoichiometry of the balanced chemical equation to determine the number of moles of B that can be produced from the number of moles of A. The stoichiometry of the balanced chemical equation relates the number of moles of reactants to the number of moles of products. The stoichiometric coefficient of A and B indicates the number of moles of each that are required to react. Therefore, the number of moles of B produced can be calculated as follows:
Number of moles of B = Number of moles of A x Stoichiometric coefficient of B/Stoichiometric coefficient of A
Step 5: Convert the number of moles of B to the volume of B in liters using the molar volume of a gas at standard temperature and pressure or the density of a liquid or solid. The molar volume of a gas at standard temperature and pressure (STP) is 22.4 L/mol. Therefore, the volume of B can be calculated as follows:
Volume of B = Number of moles of B x 22.4 L/mol
If B is a liquid or solid, its density can be used to convert the number of moles to volume.
The density of B is given in units of g/mL or g/cm³.
Therefore, the volume of B can be calculated as follows:
Volume of B = Mass of B / Density of B
For more such questions on stoichiometry , Visit:
https://brainly.com/question/14935523
#SPJ11
1. Which of the following is not a force that controls the wind? a) Coriolis force b) frictional force c) electrostatic force d) gravitational force e) pressure gradient force
c) electrostatic force is not a force that controls the wind.
What is an electrostatic force?
Electrostatic force is a type of force that exists between particles with electric charges. It is also known as Coulombic force and can be attractive or repulsive depending on the sign of the charges. The strength of the electrostatic force is directly proportional to the magnitude of the charges and inversely proportional to the distance between them.
What is magnitude?
Magnitude refers to the size or amount of something, typically measured in numerical or quantitative terms. It can be used to describe various physical properties such as force, velocity, acceleration, or electric charge, among others. In physics, magnitude is often represented by a scalar quantity, which has only magnitude and no direction, as opposed to a vector quantity, which has both magnitude and direction.
To know more about electrostatic force, visit:
https://brainly.com/question/9774180
#SPJ1
Complete question is : electrostatic force is not a force that controls the wind.
What are density and volume?
Simple explanation please
Answer:
Explanation:
Density is a measure of how much mass is contained in a given volume. It is the amount of matter (mass) in a given space (volume). Density is usually expressed in units of mass per unit of volume, such as kilograms per cubic meter (kg/m³) or grams per milliliter (g/mL).
Volume is the amount of space occupied by an object or substance. It is the measurement of the three-dimensional space occupied by an object, substance, or material. Volume can be measured in different units, such as liters (L), cubic meters (m³), or cubic feet (ft³), depending on the scale of the object being measured.
Commercially available large wind turbines blade span diameters larger than 100 m and over 3 MW of electric power at peak design have generate conditions. Consider a wind turbine with a 75-m blade span subjected to 25-km/h steady winds. If the combined turbine–generator effi- ciency of the wind turbine is 32 percent, determine (a) the power generated by the turbine and (b) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be 1.25 kg/m3, and disregard frictional effects on the mast.
The horizontal force that was exerted by the wind on the mast based on the power is 67.3KN.
What is the force?Blade Stan, d = 75m
Radius of Blade, r = 75m
wind velocity, V = 30 km/h V = 8.333 m/s
Turbine Generator efficiency or Power Co-efficient ((p) = 32% 0.32.
Flow rate across the turbine (in) = 125X8.333X X (75) 2 m
= 46017.583 kg/s
Air Exit velocity, Ve = V×√1 - Nterbine
Ve = 8.333 x √1 1- 0.32
Ve = 6.872 mls
Horizental force in x-direction (F); -
Fx = m (ve-v)
Fx = 46017-583X(6-872-8.333) = 67265.381 N
The Horizental force Extered on the Supporting mast F = -F F= 67.2654 KN
Learn more about power on:
https://brainly.com/question/2248465
#SPJ1
Determine the horizontal force that was exerted by the wind on the mast base
A heavy load was elevated to a height of 12 in 25 of uniform motion using a lifter developing an average power of 1.2 . What was the mass of the lifted object?
The mass of the lifted object, given the height the heavy load was elevated to and average power is 1, 013.85 kg.
How to find the mass ?To calculate the mass of the lifted object, we can use the work-energy principle, which states that the work done on an object is equal to its change in gravitational potential energy.
Calculate the work done by the lifter:
Power (P) = 1.2 kW = 1200 W (converting from kilowatts to watts)
Time (t) = 25 seconds
Work (W) = Power × Time = 1200 W × 25 s = 30,000 J (joules)
Calculate the change in gravitational potential energy:
Height (h) = 12 in = 12 × 0.0254 m = 0.3048 m (converting from inches to meters)
Gravitational acceleration (g) = 9.81 m/s²
Solve for mass (m):
Since the work done is equal to the change in gravitational potential energy, we have:
30,000 J = m × 9.81 m/s² × 0.3048 m
Now, we can solve for the mass:
m = 30,000 J / (9.81 m/s² × 0.3048 m) = 1, 013.85 kg
Find out more on mass at https://brainly.com/question/17218159
#SPJ1
Mercury's radius is approximately 1516 miles which equation can you use to calculate its approximate volume
The equation to calculate the approximate volume of Mercury (or any sphere) is:
V = (4/3)πr^3
Where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
Therefore, to calculate the approximate volume of Mercury, we can use the equation:
V = (4/3)π(1516)^3
if a research team wants to test the validity of their new personality questionnaire, which of the following would you recommend?
The most effective way to validate a new personality questionnaire is to use a concurrent validity test, a predictive validity test, or an incremental validity test.
The most effective way for a research team to test the validity of their new personality questionnaire is to use a concurrent validity test. This involves administering both the new questionnaire and a well-established questionnaire to the same group of people. The results of the two questionnaires can then be compared to determine the accuracy of the new questionnaire. This method helps researchers identify any discrepancies in the responses to the two questionnaires, providing a measure of the accuracy of the new questionnaire. Another approach to validating the new questionnaire is to use a predictive validity test. This involves administering the new questionnaire to one group of people and then having them complete a task or other measure of personality. The results of the task or measure can then be compared to the responses from the questionnaire, providing a measure of how accurately the questionnaire predicted the responses.
To learn more about Validity :
https://brainly.com/question/23286128
#SPJ11
If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s. What is the unit of mass in this system of units?
Answer: 10 kg
Explanation:
Using dimensional analysis, we can find the unit of mass in the given system:
Force (F) = mass (m) × acceleration (a)
In the given system, the unit of force is 100 N, which can be written as:
100 N = (100 kg · m/s²) × (10 m/s²)
Thus, we can see that the unit of force is equivalent to 100 kg·m/s².
Now, we can rearrange the equation to solve for mass (m):
m = F/a
Substituting the units:
m = (100 kg·m/s²) / (10 m/s²)
m = 10 kg
Therefore, the unit of mass in the given system is 10 kg.
An object moves in a straight line along a horizontal surface. The position x of the object as a function of time t is shown by the graph. Which of the following statements are true for the object?
Answer:
An object moves in a straight line along a horizontal surface.
Answer:
A and D
Explanation:
A:the kinetic energy does decrease due to the decrement of the velocity i.e the slope is negative velocity.
it is true
B.the change of moment is not zero cause there is difference between initial and final velocity
it is false
c.also work done is not zero you can chaekc it using the formula 1/2m (vf -vi)² and choice
it is flase
D. the impulse is the applied force per time Which is mass of the object multiplied by it's the change in momentum. it is true
A Bicycle With 0.80 M Diameter Tires Is Coasting On A Level Road At 5.6 M/S. A Small Blue Dot Has Been Painted On The Tread Of The Rear Tire. What Is The Speed Of The Blue Dot When It Is 0.80 M Above The Road? Also, Calculate The Angular Speed Of The Tires.
A Bicycle With 0.80 M Diameter Tires Is Coasting On A Level Road At 5.6 M/S. A Small Blue Dot Has Been Painted On The Tread Of The Rear Tire.The angular velocity of the tires is 14 rad/s.
When a bicycle is coasting on a flat road at 5.6 m/s and has 0.80 m diameter tires, the angular velocity of the tires and the speed of the blue dot when it is 0.80 m above the road are both determined. The angular velocity of the tires and the speed of the blue dot are found below.
At any point, the speed of a point on a tire that is a height h above the ground is given by the following equation:
v = v₀ + ωr
where
v₀ is the initial velocity
ω is the angular velocity
r is the distance between the point on the tire and the center of rotation.
The point on the tire where the blue dot is painted is 0.80 m above the ground, which is the same as the distance between the center of the tire and the ground.
The radius of the tire is half of the diameter, which is 0.80 m divided by 2 or 0.40
m.ω = v/rω = 5.6 m/s / 0.40 mω = 14 rad/s
The point on the tire that is 0.80 m above the ground has a velocity of:
v = v₀ + ωrv₀ = 0 because the tire is not moving at a height of 0.80
m.v = ωr = 14 rad/s × 0.40 m = 5.6 m/s
The speed of the blue dot is 5.6 m/s.
v = ωrv = 5.6 m/sr = 0.40 mω = v/rω = 5.6 m/s / 0.40 mω = 14 rad/s
for such more question on angular velocity
https://brainly.com/question/6860269
#SPJ11