Q69 / 270 · NDA 2016 (Phase 1) · General Ability

Two bodies A and B are moving with equal velocities. The mass of $B$ is double that of $A$. In this context, which one of the following statements is correct?

  • Correct answer
    A
    Momentum of B will be double that of A.
  • B
    Momentum of A will be double that of B.
  • C
    Momentum of B will be four times that of A.
  • D
    Momenta of both A and B will be equal.

Solution

As we know Momentum $\mathrm{P}=\mathrm{mv}$ Since, $V_A=V_B=V$, and $m_0=2 m_A$ for $A, \quad P_A=m_A v_A$ for B $\quad P_B=\left(2 m_A\right) v_A$ $\mathrm{P}_{\mathrm{B}}=2 \mathrm{P}_{\mathrm{A}}$

Hence, the correct answer is option: 'A'.

Relevant Questions