Two bodies A and B are moving with equal velocities. The mass of B is

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?

Momentum of B will be double that of A.
Momentum of A will be double that of B.
Momentum of B will be four times that of A.
Momenta of both A and B will be equal.
This question was previously asked in
UPSC NDA-1 – 2016
The correct answer is A) Momentum of B will be double that of A.
Momentum (p) of an object is defined as the product of its mass (m) and velocity (v): p = m * v. Given that both bodies A and B are moving with equal velocities (v_A = v_B = v) and the mass of B is double that of A (m_B = 2 * m_A).
Calculating the momentum for each body:
Momentum of A: p_A = m_A * v_A = m_A * v
Momentum of B: p_B = m_B * v_B = (2 * m_A) * v = 2 * (m_A * v)
Comparing p_B with p_A, we find that p_B = 2 * p_A. Therefore, the momentum of B will be double that of A.
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