Define potential energy. Derive an expression for it. On what factors does gravitational potential energy depends?

A body of mass $6 \mathrm{kg}$ is kept at a height of $5 \mathrm{m}$ from the surface of the earth. Find the potential energy of the body. [Take $g = 10 \mathrm{m}/{\mathrm{s}}^2$]

A body of mass $6 \mathrm{kg}$ is kept at a height of $5 \mathrm{m}$ from the surface of the earth. The same body is now taken from a height of $5 \mathrm{m}$ to a height of $10 \mathrm{m}$. Find the work done. [Take $\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}$]

An object of mass$12 \mathrm{kg}$ is at a certain height above the ground. If the P.E. of the object is $480 \mathrm{J}$, find the height at which the object is with respect to the ground. [Given $g = 10 \mathrm{m}/{\mathrm{s}}^2$]

 A boy of mass $40 \mathrm{kg}$ climbs vertically upwards on a coconut tree to a height of $10 \mathrm{m}$. Calculate (a) the work done by the boy (b) the potential energy gained. [Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]

The point of minimum kinetic energy in case of an oscillating pendulum is _____ (extreme/ mean) position.

Graphically show the variation of the potential energy of a freely falling body.

Which provides more energy to the human body after digestion : $1 \mathrm{kg}$ of rice or $1 \mathrm{kg}$ of potatoes.