High School

A ball is dropped onto horizontal ground from a height of 9.0 m. Find the height to which the ball rises:

(i) On the 1st bounce.
(ii) On the 2nd bounce.

(Take [tex]e = 0.7[/tex].)

Answer :

Final answer:

When a ball is dropped onto a hard surface, it bounces back with some fraction of its original kinetic energy. Using the formula: height after bounce = coefficient of restitution * initial height, we can find the height to which the ball will rise after each bounce.

Explanation:

To find the height to which the ball will rise after each bounce, we can use the formula: height after bounce = coefficient of restitution * initial height. Given e=0.7 and an initial height of 9.0m, we can calculate:

  1. On the 1st bounce: height after 1st bounce = 0.7 * 9.0m = 6.3m
  2. On the 2nd bounce: height after 2nd bounce = 0.7 * 6.3m = 4.41m

Learn more about Coefficient of restitution here:

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