A 1250 kg car is stopped at a traffic light. A 3550 kg truck moving at 8.33 m/s hits the car from behind. If bumpers lock, how fast will the

Question

A 1250 kg car is stopped at a traffic light. A 3550 kg truck moving at 8.33 m/s hits the car from behind. If bumpers lock, how fast will the two vehicles move?

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Trúc Chi 5 years 2021-08-18T06:14:13+00:00 1 Answers 168 views 0

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  1. thuthao
    0
    2021-08-18T06:15:49+00:00
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    Answer:

    the two vehicles will be moving at a speed of 6.16  m/s

    Explanation:

    This is a case of completely inelastic collision, therefore, the conservation of momentum can be written as:

    m_1\,v_1+m_2\,v_2=(m_1+m_2)\,v_f

    which given the information provided results into:

    m_1\,v_1+m_2\,v_2=(m_1+m_2)\,v_f\\(1250)\,(0)+(3550)\,(8.33)=(1250+3550)\,v_f\\29571.5=4800\,v_f\\v_f=6.16\,\,m/s

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