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Q.

A 2 kg mass moving with a velocity of 10 ms−1 collides with another 6 kg mass moving in opposite direction with a velocity of 20 ms−1 . During the collision, they stick together. Find their common velocity and the momentum.

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a

7.5 m/s, 50 kgms−1

b

7.5 m/s, 100 kgms−1

c

12.5 m/s, 100 kgms−1

d

12.5 m/s, 50 kgms−1

answer is A.

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Detailed Solution

vC=m1u1+m2u2m1+m2

m1=2 kg,  u1=10 m/s

m2=6 kg,  u2=−20 m/s

=2(10)+6(−20)2+6

∴vC=−120+208=−1008=−12.5 m/s

P=(m1+m2)vC

=(2+6)12.5

=100 kg m/s

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