Laws of Motion - Result Question 18

18. A particle of mass $m$ is moving with a uniform velocity $v_1$. It is given an impulse such that its velocity becomes $v_2$. The impulse is equal to

[1990]

(a) $m[|v_2|-|v_1|]$

(b) $\frac{1}{2} m[v_2{ }^{2}-v_1{ }^{2}]$

(c) $m[v_1+v_2]$

(d) $m[v_2-v_1]$

Topic 2: Motion of Connected Bodies, Pulley & Equilibrium of Forces

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Answer:

Correct Answer: 18. (d)

Solution:

  1. (d) Impulse $=$ final momentum - initial momentum $=m(v_2-v_1)$