A superball has a coefficient of restitution of .90. The ball is dropped from an intitial height of 1.60m. a) if the ball is allowed to bounce 3 times, how high will it rebound after the third bounce?
b) If the ball has a mass of 48g, calculate the amount of the ball's orignal energy that was lost in the three impacts with the floor.

a

b

Explanation:

From the question we are told that  

   The  coefficient of resolution is  

    The  initial height is  

Considering question a

  The  number of times the ball bounced is

    Generally the height attained after the 3rd bounce is mathematically represented as

 =>    

=>    

Considering question b

The  mass is  m =  48 g  =  0.048  kg

Generally the amount of potential energy that was lost is mathematically represented as

=>    

=>    

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y