Question

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v1 while body B is at rest before collision. The velocity of the system after collision is v2. The ratio v1 : v2 is :

• A. 1 : 2
• B. 2 : 1
• C. 4 : 1
• D. 1 : 4

Answer 1

Answer: (B)

2 : 1

Answer 2

Using momentum conservation:
$v_2 = \frac{m_1 v_1 + m_2 v_2}{m_1 + m_2} = \frac{v_1}{2}$.
Thus, $v_1 : v_2 = 2 : 1$.