Question
A body of mass 4 kg moving with velocity 10 m/sec collides inelastically with another body of mass 10 kg moving with a velocity of 4m/sec. If coefficient of restitution is 0 5, then find the velocities of two after collision and loss of energy.
Solution
After collision,
Let v1 be the velocity of mass 4 kg.
Let v2 be the velocity of mass 10 kg.
According to the law of conservation of momentum,
Here we have,
Mass,
Mass,
Initial velocity,
Velocity after collision,
Let v1 be the velocity of mass 4 kg.
Let v2 be the velocity of mass 10 kg.
According to the law of conservation of momentum,
Here we have,
Mass,
Mass,
Initial velocity,
Velocity after collision,
Therefore,
...(1)
...(1) Coefficient of restitution is, 
...(2)
Solving (1) and (2), we get
Velocities of bodies after collision is,
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and 
Total kinetic energy before collision is,
Total kinetic energy after collision is,
∴ Loss of energy = 280 - 241.43 = 38.57 J
...(2) Solving (1) and (2), we get
Velocities of bodies after collision is,
and Total kinetic energy before collision is,
Total kinetic energy after collision is,
∴ Loss of energy = 280 - 241.43 = 38.57 J
