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Physics Question on Kinetic Energy

Two bodies of masses 4 kg and 5 kg are moving with equal momentum. Then the ratio of their respective kinetic energies is

A

4:05

B

2:01

C

1:03

D

5:04

Answer

5:04

Explanation

Solution

The kinetic energy is inversely proportional to the mass of the body, so KE∝1mKE \propto \frac{1}{m} Hence KE1KE2=m2m1=54\frac{KE_1}{KE_2}=\frac{m_2}{m_1}=\frac{5}{4}