Question

Define elastic collision. Show that in an elastic one-dimensional head on

collision, the relative velocity of approach before collision is equal to the

relative velocity of separation after the collision​

Answer 1

Answer:

Refer image.

Here, for collision to happen, V

1

>V

2

velocity of approach =U

1

−U

2

[velocity w.r.t]

velocity of separation =V

2

−V

2

[vel.w.r.t]

As we know,

Coefficient of restitution (e) =

vel.ofapproach

vel.ofseperation

∴e=

U

1

−U

2

V

2

−V

1

........(1)

and, e=1 for elastic collision.

1=

U

1

−U

2

V

2

−V

1

U

1

−U

2

=V

2

−V

1

.

So,

velocity of approach=velocity of separation

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Answer 2

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