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Blazing goIITian

Joined:	25 Oct 2008
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7 Apr 2009 13:22:22 IST

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A ball of mass m moving with a constant velocity strikes against a ball of same mass at rest. If e =

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A ball of mass m moving with a constant velocity strikes against a ball of same mass at rest. If e =coeff. of restitution , then what will be the ratio of the 2 balls after collision

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Prakhar Banga

Blazing goIITian

Joined: 20 Dec 2008

Posts: 599

7 Apr 2009 13:27:28 IST

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Let there velocities are v1 and v2 after collision.

Conservation of linear momentum gives

mv = mv1 + mv2, or v = v1 + v2 ........ 1

Definition of e gives

(v2 - v1) = e v............2

add 1 and 2

v2 = (e+1)v / 2

subtract 1 and 2

v1 = (1-e) v / 2

The ratio of the speed of the first ball to that of the second ball is, therefore, (1-e)/(1+e)

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