Question

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

Answer 1

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