Question

A body of mass 8kg has velocity of 5m/sec & other body of mass 10kg has velocity of 4m/sec. they collide aft Wch 1st body has velocity of 2.5m/sec . Find velocity of second body

Answer 1

ANSWER

For a perfectly elastic collision, coefficient of restitution is e=1.

Let u and v be the velocities of 10 kg and 1 g masses after collision.

Thus, e=

rel. vel. of approach

rel. vel.of separation

=

5−0

v−u

=

5

v−u

But, as e=1, we have v−u=5.

Total momentum before collision is P=10×5=50 kg m/s

Total momentum after collision is P=10×(v−5)+0.001×v=10.001v−50

Thus, 10.001v−50=50⇒v=

10.001

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