A spherical ball of mass
collides head on with another ball of mass
at read. The collision is elastic. The fraction of kinetic energy lost by
is:
Text Solution
Verified by ExpertsA
: According to momentum conservation, we get
……(i)
Where
is the initial velocity of spherical ball of mass
before collision and
are the final velocities of the balls of masses
and
after collision.
According to kinetic energy conservation, we get

…..(ii)
Form Egs. (i) and (ii), it follows that

Or 

Substituting this in Eq. (i) we get

The initial kinetic energy of the mass
is

The final kinetic energy of the mass
is
(Using (iii))
The fraction of kinetic energy lost by
is



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