At the county fair, Chris throws a 0.12kg baseball at a 2.4kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 30% of its incoming speed, knocking the bottle straight forward.

What is the bottle's speed, as a percentage of the ball's incoming speed?

Express your answer using two significant figures.

=6.5%

Explanation:

Mass of the ball: ]

Initial velocity of the ball:  

final velocity of the ball: which is -30/100 of =

Mass of the bottle:

Initial velocity of the bottle:

final velocity of the bottle: is unknown (to find)

by using conservation momentum, which stated that the initial momentum is equal to the final momentum.

so since the bottle is at rest firstly, therefore

        equation 1

so now substitute into equation 1

collect the like terms

divide both  side by

Now substitute

6.5%

gravity

explanation: