What is the ratio of the linear momentum of two bodies A and B, having equal kinetic energies whose masses are, respectively, m and 4m ?
Answer & explanation
Correct answer: option 1
\(\text{Linear momentum = } \sqrt{2\text{(mass)}\text{(kinetic energy)}}\)
\(\text{Linear momentum } \propto \sqrt{\text{(mass)}}\)
\(\frac{p_A}{p_B} = \sqrt{\frac{m_A}{m_B}}\)
\(\frac{p_A}{p_B} = \sqrt{\frac{m}{4m}}\)
\(\frac{p_A}{p_B} = \frac{1}{2}\)