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Q18 (NDA-I/2016) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

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 ?

Result
Your answer: —  Â·  Correct: A
Explanation

Linear momentum (p) is defined as the product of an object's mass (m) and its velocity (v), expressed by the formula p = mv. Momentum is directly proportional to both the mass and the velocity of the object. In this scenario, bodies A and B are moving with equal velocities. Since the mass of B is double that of A (m_B = 2m_A), and their velocities are identical (v_A = v_B), the momentum of B (p_B = m_B * v_B) becomes (2m_A * v_A), which is exactly twice the momentum of A (p_A = m_A * v_A). Physics principles dictate that if mass is doubled while velocity remains constant, the momentum must also double. Therefore, the momentum of body B will be double that of body A.

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