Question

Derivation of potential energy???

Answer 1

Answer:

Generally PE can be defined as the energy stored in the system by doing work.

This can usually be written PE = W = F*x, where x is the distance. With a constant force, such as the weight of an object near the earth’s surface, F = mg, m= mass of the object and g the acceleration of gravity, and PE = ugh for small heights where gravity does not change. In stretching a spring, F is a function of x, and F=kx, k called the spring constant. This is then the integral of Fdx or kx dx from 0 to x, which gives PE = 1/2 kx^2. All the potential energy equations that depend on a force times a distance are the same. If the force varies with distance, one has to integrate.

Answer 2

Answer:

Assume an object of mass 'm' placed at height 'h' from the earth surface.

since,work=force×dis.

= mass×acc.×dis.

here a=acc.due to gravity=g

=m.g.h

Potential energy =mgh