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Question

A 40 kg shell is moving with a velocity of 72 km/h.It explodes into two pieces, of which one piece of mass 15 kg stops immediately.Calculate the velocity of the other piece.

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Solution

M=40 kg
M1=15kg;V1=0VD=72km/h=72×10003600=20m/sM2=MM1=4015=25kg
Pi = initial momentum= MV0
Pi=40×20=800kgm/s
Pf = final momentum
Pf=M1V1+M2V2=15×0+25×V2Pf=25V2Pf=Pi (momentum conservation)
800=25V2
V2=80025=32m/s

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