At the county fair, Chris throws a 0.15 kgkg baseball at a 2.5 kgkg 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?

The bottle's speed is 7.8 percent of the ball's initial speed.

Explanation:

conservation of momentum

Let v be the initial ball velocity

The ball has a momentum change of

p = 0.15(-0.3v - v) = -0.195v

As the ball lost that much momentum, the bottle must gain the same magnitude of momentum

0.195v = 2.5(v' - 0)

v' = 0.078v

kinetic

i'm so sorry if this is wrong i'm only in 6th grade xd