If a vehicle has mass m and velocity v, its momentum is mv. If mass doubles while velocity remains constant, momentum will

If a vehicle has mass m and velocity v, its momentum is mv. If mass doubles while velocity remains constant, momentum will

• A. Quadruple
• B. Double
• C. Remain the same
• D. Half

Answer: (B)

Momentum equals mass times velocity, so it scales directly with mass when velocity stays constant. If you double the mass while keeping speed the same, the momentum becomes p' = (2m) v = 2(m v) = 2p. In other words, the momentum doubles. For example, a vehicle with mass m moving at velocity v has momentum p; if its mass becomes 2m at the same speed, its momentum is 2p. Since velocity is unchanged, there’s no additional factor to alter that result.

Momentum equals mass times velocity, so it scales directly with mass when velocity stays constant. If you double the mass while keeping speed the same, the momentum becomes p' = (2m) v = 2(m v) = 2p. In other words, the momentum doubles. For example, a vehicle with mass m moving at velocity v has momentum p; if its mass becomes 2m at the same speed, its momentum is 2p. Since velocity is unchanged, there’s no additional factor to alter that result.