Question

A 3.0-kg object is initially at rest. It then receives an impulse of magnitude 15 N.S. After the impulse, the object has
(A) a speed of 45 m/s
(B) a momentum of magnitude 5.0 kg m/s (
C) a speed of 7.5 m/s
(D) a momentum of magnitude 15 kg m/s​

Answer 1

Given : A 3.0-kg object is initially at rest. It then receives an impulse of magnitude 15 N.s.

To Find : After the impulse, the object has

Solution:

p = change in momentum

Δv = change in velocity

m = mass of the object

Impulse =  F Δ t

Δ p = FΔ t = mΔv

mΔv = 15

initial momentum was zero as at rest

Hence  Momentum of  magnitude 15 kg.m/s​

mΔv = 15

m = 3 kg

=> 3Δv = 15

=> Δv = 5 m/s

Object has speed of  5 m/s

a momentum of magnitude 15 kg.m/s​ is the correct option

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