Flash Education

Question

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

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Answer

The initial momentum of the body = mu

Final momentum of the body = mv

Change in the momentum of the body in (t) seconds

= mv – mu

= m (v – u)

Rate of change of momentum = m (v – u)/t

= m × a   [since m (v – u)/t]

Therefore,

Rate of change of momentum = ma = mass × acceleration.

This relation holds when the mass of the body remains constant.

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