what i the relationship between the amount of work you do on an object and its potential energy?

Answer 1

Assuming that there are no 'dissipative' forces (friction, etc.) the relationship is 1-1. For every Joule of work you do, the potential (or kinetic, depending on how you're doing the work) energy of the object you work on changes by 1 Joule.

It's called the principle of work-energy equivalence.

HTH

Doug

Answer 2

Consider you are lifting an object through a height H.

You are doing work against the gravitational field or against the gravitational pull of earth or against the weight of the object that is always acting down ward.

At that elevated position if you are not giving any support to that object it will come down again. That is, the object can do some work

Hence we say that the object at that height H, possesses some potential energy.

The amount of work which we have done on the object is stores as potential energy i.e. it has a capacity to do some work.

If you wind a spring we are doing some work. If you leave it with out any constraint it will re-wind automatically.

After winding the spring if we make some constraints so that it cannot rewind it self, in that position it is said to have some potential energy. It has a capacity to do work again.
The work done by us is stored as potential energy in the spring.

If any thing has some potential energy it implies that if the constraints are removed it will return to a position where its potential energy will become zero by doing some external work or loosing its energy.

Answer 3

there might be a relationship or there might not be.
the energy to move a block up a frictionless plane is equal to the potential energy.

but to move block up a plane with friction is not equal to the potential energy. The energy to move the block up is higher than the potential energy. This is because friction is a non-conservative force.

Answer 4

If you move the object horizontally, there is a change in K.E. equal to the work done, but no change in P.E. If you move the object vertically, the P.E equals the work done.

Answer 5

amt of wrk done on a body=energy stord in it...if there is no loss of energy in form of heat or other resistiv forces lyk friction n air resistance....moreovr its nt necesary dat d whole of dis energy is PE...it is posibl dat sum prt of it is kinetic..or internal..or vibrational..or....

1 of d case wen wrk dun is convrted wholely in2 PE is if v lift a body 2 a certain ht....