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alexdok [17]
2 years ago
7

a 2.99 kg sphere makes a perfectly inelastic collision with a second sphere that is intially at rest. the composite moves with a

speed equal to one third the original speed of the 2.99kg. what is the mass of the second sphere?​
Physics
1 answer:
tester [92]2 years ago
7 0

Answer:

5.98 kg

Explanation:

To solve this problem, let use the Linear Momentum Conservation Law:

Before collision: \sum p=p_{1}+p_{2}=m_{1}v_{1}+m_{2}v_{2}=(2.99v_{1})+0=2.99v_{1}

After collision: \sum p'=p_{1}'+p_{2}'=(2.99+m_{2})(v_{1}/3)

So, we obtain:

\sum p =\sum p' \rightarrow 2.99v_{1}=(2.99+m_{2})(v_{1}/3) \rightarrow 8.97 = 2.99 + m_{2}

m_{2}=8.97-2.99=5.98 kg

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