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Crazy boy [7]
3 years ago
14

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 pri

ze. 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.
Physics
1 answer:
vfiekz [6]3 years ago
6 0

Answer:

6.5\%\ of\ u_1

Explanation:

m_{1} = Mass of ball = 0.12 kg

tex]m_{2}[/tex] = Mass of bottle = 2.4 kg

u_{1} = Initial velocity of ball

u_{2} = Initial velocity of bottle

v_{1} = Final velocity of ball = -0.3u_{1}

v_{2} = Final velocity of bottle

As linear momentum is conserved

m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}\\\Rightarrow 0.12u_{1}+2.4\times 0=-0.12(0.3u_{1})+2.4v_{2}\\\Rightarrow 0.156u_1=2.4v_2\\\Rightarrow \frac{v_2}{u_1}=0.065\\\Rightarrow v_2=0.065\times 100\times u_1\\\Rightarrow v_2=6.5\%\ of\ u_1

The bottle's speed is 6.5\%\ of\ u_1

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