Practicing Success
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 ? |
1 : 2 1 : \(\sqrt{2}\) 4 : 1 1 : 4 |
1 : 2 |
\(\text{Linear momentum = } \sqrt{2\text{(mass)}\text{(kinetic energy)}}\) \(\text{Linear momentum } \propto \sqrt{\text{(mass)}}\) \(\frac{p_A}{p_B} = \sqrt{\frac{m_A}{m_B}}\) \(\frac{p_A}{p_B} = \sqrt{\frac{m}{4m}}\) \(\frac{p_A}{p_B} = \frac{1}{2}\) |