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A moving particle of mass m makes a head on elastic collision with a particle of mass 2m |
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Answer» Answer: ANSWER Given : m
=m m 2
=2m u 2
=0 u 1
=u Let the velocity of mass m after the collision be v 1
. Using v 1
= m 1
+m 2
(m 1
−em 2
)u 1
+(1+e)m 2
u 2
v 1
= m+2m (m−1×2m)u+(1+1)2m(0)
= 3 u
Thus final kinetic energy of m 1
, E 1 ′
= 2 1
1 2
= 2 1
m× 9 u 2
= 18 1
mu 2
Initial kinetic energy of m 1
, E 1
= 2 1
mu 2
Fraction loss in K.E of m 1
, E 1
ΔK.E
= 2 1
mu 2
2 1
mu 2 − 18 1
mu 2
= 9 8
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