Show that the rate of change of momentum = mass x acceleration. Under what condition does this relation hold?
Laws of Motion
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Question

Show that the rate of change of momentum = mass x acceleration. Under what condition does this relation hold?

KnowledgeBoat · Accepted Answer

When a force is applied on a moving body, it's velocity changes. Due to change in velocity of the motion, it's momentum also changes. Let a force (F) be applied on a body having mass (m) for time (t) due to which it's velocity changes from u to v. Then, Initial momentum of the body = mu Final momentum of the body = mv Change in momentum of the body in (t) seconds = mv - mu = m (v - u) Then, rate of change of momentum = = And we know, a = Therefore, Rate of change of momentum = ma = mass x acceleration. This relation holds true when mass of the body remains constant.

Physics

Show that the rate of change of momentum = mass x acceleration. Under what condition does this relation hold?

Laws of Motion

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