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(a) What is the difference between gravitational potential energy and elastic potential energy? Give one example of a body having gravitational potential energy and another having elastic potential energy.
(b) If $784\ J$ of work was done in lifting a $20\ kg$ mass, calculate the height through which it was lifted.
(a). Difference between gravitational potential energy and elastic potential energy:
Gravitational Potential Energy | Elastic Potential Energy |
1. If a body is placed at a certain height from the ground then potential energy due to height is said to be gravitational potential energy of the body. | 1. Energy gained by a body by changing its shape and size is known as the elastic potential energy of the body. |
2. Gravitational potential energy of a body is due to gravitational force. | 2. Elastic potential energy is due to the elastic property of the body. |
3. A stone placed on the roof is an example of a body possessing gravitational potential energy. | 3. An stretched spring is a good example of the body possessing elastic potential energy. |
(b). Work done $W=784\ J$
Mass $m=20\ kg$
Let $h$ be the height.
On placing these values into $W=mgh$
$784=20\ kg.\times9.8\ m/s^2\times h$ [take $g=9.8\ m/s^2$]
Or $h=\frac{784}{20\times9.8}$
Or $h=4\ m$
Therefore, the mass was lifted to a height of $4\ m$.
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