15. An object of mass 1 kg travelling in a straight line with a velocity of 10 m s' collides with, and sticks to, a stationary wooden block of mass 5 kg. Then they both move off together in the same straight line. Calculate the total momentum just before the impact and just after the impact. Also, calculate the velocity of the combined object.
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Given,
m=1kg,u1=10ms−1,M=5kgandu2=0ms−1
From conservation of momentum
Initial momentum = final momentum
mu1+Mu2=(m+M)v
1×10+5×0=(1+5)v
10=6v
Hence, velocity of both isv=35ms−1
Total momentum before is 10kgms−1
From momentum conservation, total momentum after is 10kgms−1
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