Question:

Two bodies with kinetic energies in the ratio $4 : 1$ are moving with same linear momenta. The ratio of their masses is

Updated On: Jul 7, 2022

1:04
1:01
1:02
4:01

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The Correct Option is A

Solution and Explanation

K.E. = $\frac{p^2}{2m}$ Here K.E. $\propto \frac{1}{m} \:\:\:\: \therefore \:\:\:\frac{K.E._2}{K.E._1} = \frac{m_1}{m_2} = \frac{1}{4}$

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Notes on Kinetic Energy

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.