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Question

A sphere collides with another sphere of identical mass. After collision, the two spheres move. The collision is inelastic. Then the angle between the directions of the two spheres is


A

90Ā°

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B

0Ā°

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C

45Ā°

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D

Different from 90Ā°

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Solution

The correct option is D

Different from 90Ā°


Explanation for the correct option(s):

D: Different from 90Ā°

An elastic collision is a collision in which there is no net loss in kinetic energy in the system as a result of the collision. Both momentum and kinetic energy are conserved in an elastic collision.

m1u1+m2u2=m1v1+m2v2

Where,

m1,m2= mass of object

u1,u2= initial velocity

v1,v2= final velocity

For perfectly elastic collision, the angle between path of two bodies must be 90Ā° .

An inelastic collision occurs when some amount of kinetic energy of a colliding object/system is lost.

m1u1+m2u2=(m1+m2)vf

Where,

m1,m2= mass of object

u1,u2= initial velocity

vf=final velocity

Hence, for inelastic collision, angle should be different from 90Ā°.

Hence, option 'D' is correct.


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