During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 4.

Question

During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 4.8 m/s, grabs and holds onto him so that they move off together with a velocity of 2.5 m/s. If the mass of the tackler is 100 kg, determine the mass of the receiver in kilograms. Assume momentum is conserved.

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Ngọc Khuê 6 months 2021-07-21T16:09:03+00:00 1 Answers 10 views 0

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    2021-07-21T16:10:18+00:00

    Answer:

    Mass of receiver is 92 kg        

    Explanation:

    We have given mass of tackler m_1=100kg

    Let the mass of receiver is m_2kg

    When tackler moving alone velocity is v_i=4.8 m/sec

    And when tackler and receiver is together velocity is v_f = 2.5 m/sec

    So from conservation of momentum

    m_1v_i=(m_1+m_2)v_f

    100\times 4.8=(100+m_2)\times 2.5

    2.5m_2+250=480

    2.5m_2=230

    m_2=92kg

    So mass of receiver is 92 kg

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