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Debora [2.8K]
3 years ago
7

A car moving with an initial speed v collides with a second stationary car that is one-half as massive. After the collision the

first car moves in the same direction as before with a speed v/3. Find the final speed of the second car.
Physics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

4v/3

Explanation:

Assume elastic collision by the law of momentum conservation:

m_1v = m_1v_1 + m_2v_2

where v is the original speed of car 1, v1 is the final speed of car 1 and v2 is final speed of car 2. m1 and m2 are masses of car 1 and car 2, respectively

Substitute m_2 = m_1/2 \& v_1 = v/3

m_1v = \frac{m_1v}{3} + \frac{m_1v_2}{2}

Divide both side by m_1, then multiply by 6 we have

6v = 2v + 3v_2

3v_2 = 4v

v_2 = \frac{4v}{3}

So the final speed of the second car is 4/3 of the first car original speed

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