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Question

A ball moving with velocity 10 m/s in downward direction as shown in figure. After collision with fixed surface having coefficient of restitution e=0.5, it rebounds back with velocity v m/s. Find the value of v. (Neglect all external forces)


  1. 10 m/s
  2. 8 m/s
  3. 5 m/s
  4. 15 m/s


Solution

The correct option is C 5 m/s

As surface is fixed.
velocity of the surface before collision (u2)=0 m/s
Velocity of surface after collision (v2)=0 m/s

We know
Coefficient of restitution, (e)=v2v1u1u2=0(v)(10)0
(Taking upward velocity + ve)
0.5=v10v=5 m/s

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