OCR MEI Further Mechanics A AS 2018 June — Question 5

Exam BoardOCR MEI
ModuleFurther Mechanics A AS (Further Mechanics A AS)
Year2018
SessionJune
TopicMomentum and Collisions 1

5 A small ball is held at a height of 160 cm above a horizontal surface. The ball is released from rest and rebounds from the surface. After its first bounce on the surface the ball reaches a height of 122.5 cm .
  1. Find the height reached by the ball after its second bounce on the surface. After \(n\) bounces the height reached by the ball is less than 10 cm .
  2. Find the minimum possible value of \(n\).
  3. State what would happen if the same ball is released from rest from a height of 160 cm above a different horizontal surface and
    (A) the coefficient of restitution between the ball and the new surface is 0 ,
    (B) the coefficient of restitution between the ball and the new surface is 1 .