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NEET2015PhysicsCenter of Mass, Momentum and CollisionActual

A ball of mass m hits the floor with a speed v making an angle of incidence with the normal. The coefficient of restitution is e . The speed of reflected ball and the angle of reflection of the ball will be

Options

  1. Av^ =v, = ^
  2. Bv^ = v 2 , =2 ^
  3. Cv^ =2 v, =2 ^
  4. Dv^ = 3 v 2 , = 2 ^ 3

Correct answer

A. v^ =v, = ^

Step-by-step solution

The parallel component of velocity of the ball remains unchanged. This gives v^ ^ =v ...(i) For the components normal to the floor, the velocity of separation =v^ ^ and the velocity of approach =v Hence, v^ ^ =e v ... (ii) From Eqs. (i) and (ii) aligned v^ & =v ^2 +e^2 ^2 and ^ & = e aligned For elastic collision, e=1 , so that ^ = and v^ =v

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