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What is the answer to this question? The answer has to be in 3 significant digits.

What is the answer to this question? The answer has to be in 3 significant digits-example-1
User Kiding
by
8.3k points

1 Answer

5 votes

ANSWER:

2.99 meters per second

Explanation:

Given:

m1 = 1.16 kg

m2 = 1.98 kg

Vi1 = 8.64 m/s

Vi2 = -3.34 m/s

Vf1 = -2.16 m/s

We can determine the speed of the second car thanks to the law of conservation of momentum which is the following:


m_1\cdot V_(i1)+m_2\cdot V_(i2)=m_1\cdot V_(f1)+m_2\cdot V_(f2)

We replace each value and we would have:


\begin{gathered} 1.16\cdot8.64+1.98\cdot3.34=1.16\cdot-2.16+1.98\cdot V_(f2) \\ 3.4092=-2.5056+1.98\cdot V_(f2) \\ 1.98\cdot V_(f2)=3.4092+2.5056 \\ V_(f2)=(5.9148)/(1.98) \\ V_(f2)=2.99\text{ m/s} \end{gathered}

The velocity of the second car is 2.99 meters per second

User Ismael Padilla
by
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