During a circus act, an elderly performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of 72.0 kg and

Question

During a circus act, an elderly performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of 72.0 kg and its horizontal component of velocity is 6.50 m/s just before the 65.0 kg performer catches it. If the performer is initially motionless on nearly frictionless roller skates, what is his speed immediately after catching the cannon ball

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Thành Công 5 years 2021-07-21T05:33:41+00:00 1 Answers 22 views 0

Answers ( )

  1. thuthuy
    0
    2021-07-21T05:34:55+00:00
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    Answer:

    3.416 m/s

    Explanation:

    Given that:

    mass of cannonball m_A = 72.0 kg

    mass of performer m_B = 65.0 kg

    The horizontal component of the ball initially \mu_{xA} = 6.50 m/s

    the final velocity of the combined system v = ????

    By applying the linear momentum of conservation:

    m_A \mu_{xA}+m_B \mu_{xB} = (m_A+m_B) v

    72.0 \ kg \times 6.50 \ m/s+65.0 \ kg \times 0 = (72.0 \ kg+65.0 \ kg) v

    468 kg m/s + 0 = (137 kg)v

    v = \dfrac{468\ kg m/s }{137 \ kg}

    v = 3.416 m/s

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