A light and a heavy body have equal kinetic energy. Which one is moving fast ?


Let $m_1$ and $m_2$ be the masses of light and heavy body respectively. $v_1$ an d$v_2$ are the velocities of light and heavy body respectively.

Then , Kinetic energy of light body$=\frac{1}{2}m_1v_1^2$

Kinetic energy of heavy body$=\frac{1}{2}m_2v_2^2$

As given kinetic energy of both light and heavy body are equal.

Therefore, $\frac{1}{2}m_1v_1^2=\frac{1}{2}m_2v_2^2$

As $m_1

Therefore, $v_1>v_2$

Thus, the velocity of light body is more than that of heavy body. That's why the light body body is moving fast.

Updated on: 10-Oct-2022

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