Difference Between Energy, Power & Work: Explained

In summary, the difference between the two situations is that in the slide example, the person's gravitational potential energy is converted into kinetic energy as they slide down, resulting in the same speed at the bottom. In the second example, there is friction involved, which requires additional work to be done in order to reach the same height. This is because the friction force increases as the angle of inclination decreases, resulting in more work being done to overcome it.
  • #1
imortaltoad
5
0
okay, so what is the difference between these two situations. I don't really seem to get it

http://img190.yfrog.com/img190/8400/2sit.jpg

For the slide, shouldn't the distance be shorter since the slide gets steeper meaning the speed increases !
 
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  • #2
When the person is at the top of the slide they have lots of gravitational potential energy, but no kinetic energy (they aren't moving). As they begin to slide down, that gravitational potential energy is converted into kinetic energy. Remember that K=1/2mv^2. Since the height of the slide does not change, our potential energy is the same in both cases, which means that our kinetic energy must also be the same. Assuming it is the same person sliding down the slide, and that they didn't just go pig out at the buffet, their mass is also the same. According to our equation, if the kinetic energy is the same, the mass is the same, then the speed at which the slider leaves the slide must be the same.
 
  • #3
okay I understand that, but what confuses me is that the situation on the top, with box A and B.

I mean here the height is identical so it means Potential energy should be the same at the top. so shouldn't it require equal amount of work to gain the same amount of potential energy?
 
  • #4
In 9.), there is friction between the block and the ramp, so in addition to doing work on the box to increase its potential energy, work has to be done to move the box against the force of friction. The work done to move the box vertically to increase its potential energy is the same for both cases: they are both lifted h distance. However, the friction force acts against moving the block across the ramps surface, and is equal to the coefficient of friction times the normal force (Ffric = mu*N). When the angle of inclination decreases, the normal force N on the block by the ramp increases (N=mgcos(theta)), and therefore the friction force increases. The work done on the block by the friction force is Work = mu*N*X, where X is the distance moved across the ramp. Since the second ramp has a longer distance for the block to move across to reach the same height, the friction force acts for a longer distance, and more work has to be done on the block to reach the top.
 
  • #5
Ooohhhhh alright! Thanks alot=) both posts helped
 

1. What is the difference between energy and power?

Energy is the ability to do work, while power is the rate at which work is done. In other words, energy is the potential to cause change, while power is the amount of energy transferred per unit of time.

2. How is energy related to work?

Energy and work are closely related concepts. Work is defined as the force applied over a distance, while energy is the ability to do work. In order for work to be done, energy must be transferred from one form to another.

3. Can power be negative?

No, power cannot be negative. It is a measure of the rate at which energy is transferred, so it is always a positive value. However, this does not mean that energy cannot be negative. For example, when work is done against a force, the energy transferred is negative.

4. How do energy and power relate to each other in everyday life?

In everyday life, we often use power to describe the amount of work being done. For example, a car's engine is rated in horsepower, which is a measure of power. However, the amount of fuel consumed by the car is a measure of the energy used. This shows the close relationship between power and energy.

5. Is energy a measurable quantity?

Yes, energy is a measurable quantity. It is typically measured in units such as joules (J) or kilowatt-hours (kWh). However, since energy can come in many forms (kinetic, potential, thermal, etc.), the specific unit of measurement may vary depending on the type of energy being measured.

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