How to prove that work done is loss of kinetic energy?

Question

How to prove that work done is loss of kinetic energy?

Answer 1

Not all work is from loss of kinteic energy. But if the energy for the work did come from kinetic energy - then you have low kinetics - i.e. something slows down or stops. The energy of motion, of object moving, is kinetic energy. If this energy is taken away, the object slows down or stops.

So the proof is finding what object slows down - or loses heat (which is slowing down of particles moving randomly)

Hope that helps.

Answer 2

there is a theorem called work - energy theorem which states that

work done by all forces  [conservative as well as nonconservative]

is equal to change in kinetic energy

work is defined as the energy transferred to or form an boject by means of force acting on object.doing work is the act of transferring energy (any type).it does not mean that anything material flows into or out of the object.it is like electronic transfer meaning number in one account goes up while in other account goes down.

move a slab to a distance.so u see that u performed work on the slab which resulted in loss of some of your energy and gain in energy (kinetic energy) of the slab

Answer 3

Take a tray and freeze some wax in it. Fix a nail on the wax not deeply. Lift up a stone or something and drop it on the nail.

The nail gets in the wax more deeper. We know that a force was required to drive the nail in. As the nail covered a distance into the wax, so the stone did work on nail.

As a consequence, the stone looses its velocity after it strikes the nail. This means it looses its kinetic energy which actually got converted into work.

Answer 4

well, at the start of the day you eat breakfast which is Chemical Potential energy which then turns into Kinetic potential energy.

If you have a physical job you tire out which is the Chemical potential energy being released in a form of Kinetic

Answer 5

can you prove (1/2)m(v1^2-v2^2)=workdone?.