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Question

A body of mass 2kg is moving with velocity 10ms-1 towards east. Another body of the same mass and same velocity moving towards north collides with the former and coalesces and moves towards north-east. Its velocity is


A

10ms-1

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B

5ms-1

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C

2.5ms-1

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D

52ms-1

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Solution

The correct option is D

52ms-1


Step 1. Expressing the given data.

Mass of the first body, m1=m

Mass of the second body, m2=m

The initial velocity of both the body, u=10ms-1

Step 2. Finding the velocity of the particle after collision, v

Initial Momentum, P=mui^+muj^ [Where, u is the initial velocity]

P=m2u2+m2u2

P=2mu

P=102m

Final momentum=m+mv

Final momentum=2mv

Applying the momentum conservation,

InitialMomentum=Finalmomentum

102m=2mv

v=52ms-1

Hence, the correct option is D.


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