A body is moving with a velocity v, breaks up into two equal parts.One of the part retraces back with velocity v. Then the velocity of the other part is ? :-

(A) v in forward direction

(B) 3v in forward direction

(C) v in backward direction

(D) 3v in backward direction

1 Answer
Jane
Feb 4, 2018

B. 3v in forward direction

Explanation:

As,no external force is acting here,we can apply the law of conservation of momentum.

Initial momentum =m⋅v (where, m is the mass of the whole body)

Considering initial direction of movement of the whole mass to be positive.

Final momentum = −m2⋅v+m2⋅u (after the breakage, let the other mass will run with a velocity of u in the initial direction of the velocity of the whole mass)

So,we can say,

mv=−m2v+m2u

So, u=3v

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