Body 
of mass 
moving with speed 
collides with another body 
of mass 
, at rest. The collision is head-on and elastic in nature. After the collision, the fraction of energy lost by the colliding body 
is [NEET 2019]
Text Solution
Verified by ExpertsA
In head-on elastic collision, given situation of collision can be drawn as
Initial momentum of system 
Final momentum of system
The kinetic energy of 
before collision,
Kinetic energy of 
before collision,
The kinetic energy of 
after collision,
Kinetic energy of 
after collision,
As, initial kinetic energy of the system 
final kinetic energy of the system
Solving Eqs. (i) and (ii), we get
The final velocity of 
can be directly calculated by using the formula.
The velocity after collision is given by
Net decrease in kinetic energy of 
,
Substituting the value of 
, we get
The fractional decrease in kinetic energy,
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