If momentum of a body is increased by 20%, then its kinetic energy increases by
- 36%
- 40%
- 44%
- 48%
The Correct Option is C
Solution and Explanation
\(K=\frac{p^2}{2m}\)
\(K=\frac{(1.2p)^2}{2m}\)
\(⇒\frac{K−K}{K}=(1.2)^2−1=0.44\)
⇒ Kinetic energy increases by 44%
So, the correct option is (C): 44%
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
