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Question

A missile of mass 1 kg is moving with speed 10 m/s along the +ve x direction. Its target is a car weighing 100 kg, moving with 1 m/s also in the +ve x direction. The missile hits the target but doesn't burst. Find the combined velocity of car-missile system?



Your Answer
A

1 m/s

Your Answer
B

10 m/s

Correct Answer
C

Your Answer
D

m/s


Solution

The correct option is C


Take missile & car as a system No external force.

Momentum conserved

Pi=Pmissile+Pcar

=1×10+100×1

                   = 110

Pf=Pmissile+car

= (1 + 100) v (assuming car moves with velocity v after missile hits)

Pf=101v

Now No external force so momentum conserved.

ΔP=0

PfPi=0

Pf=Pi

101 v = 110

v=110101m/s

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