Question

A ball A moving with a certain velocity
collides, with another ball B of the same mass
at rest. If the coefficient of restitution is e,
the ratio of the velocities of A and B just after
the collision is ....
1) 1+e/1-e
2)1+e/2
3)1-e/2
4)1-e/1+e​

Answer 1

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Answer 2

Answer

Question

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A ball A moving with a certain velocity collides, with another ball B of the same mass at rest. If the coefficient of restitution is e. the ratio of the velocity of A and B just after the collision is:

Correct option is D)

Both balls have same mass m

the linear momentum before collision is mu+0=mu

suppose after collision they have velocities V

1

and V

2

then the momentum after collision will be mV

1

+mV

2

=m(V

1

+V

2

)

momentum should be conserved so mu=m(V

1

+V

2

) or V

1

+V

2

=u.......(1)

coefficient of restitution is defined as e=

Approach

Separation

=

u−0

V

2

−V

1

so we get V

2

−V

1

=eu...........(2)

solving equation-1 and equation-2 we get

V

2

V

1

=

1+e

1−e

Explanation:

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