Question

Two bodies A and B have masses in the ratio 5 : 1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities.

Answer 1

`m_A/m_B = 5/1`

`(KE_A)/(KE_B) = 125/9`

` therefore (KE_A)/(KE_B) =(1/2M_AV_A^2)/(1/2M_BV_B^2)`

`125/9 = 5/1  (V_A^2)/(V_B^2) ⇒ (V_A)/(V_B) = 5/3`