a ball of mass m moving at a speed U makes a head on collision with an identical ball at rest. the kinetic energy of the ball after the collision is 3/4th of the original.find the coefficient of restitution
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Answer:
Since, we know that in the case, when m
1
=m
2
and v
1
=0
then, v
1
′
=(
2
1+e
)v
2
and v
2
′
=(
2
1−e
)v
2
Given that, K
F
=
4
3
K
i
⇒
2
1
mv
1
′
2
=
2
1
mv
2
′
2
=
4
3
(
2
1
mv
2
)
Substituting the values, we get
(
2
1+e
)
2
+(
2
1−e
)
2
=
4
3
⇒(1+e)
2
+(1−e)
2
=3
⇒2+2e
2
=3⇒e
2
=
2
1
⇒e=
2
1
Explanation:
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