A heavy ball with a weight of 150 N is hung from the ceiling of a lecture hall on a 4.1-m-long rope. The ball is pulled to one side and rele

Question

A heavy ball with a weight of 150 N is hung from the ceiling of a lecture hall on a 4.1-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.5 m/s as it passes through the lowest point. What is the tension in the rope at that point?

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Acacia 18 hours 2021-07-22T04:12:44+00:00 1 Answers 0 views 0

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    2021-07-22T04:14:19+00:00

    Answer:

    The tension in the rope is 262.88 N

    Explanation:

    Given:

    Weight W = 150 N

    Length of rope r = 4.1 m

    Initial speed of ball v = 5.5 \frac{m}{s}

    For finding the tension in the rope,

    First find the mass of rod,

    mg = 150                          ( g = 9.8 \frac{m}{s^{2} } )

      m = \frac{150}{9.8}

      m = 15.3 kg

    Tension in the rope is,

      T = mg + \frac{mv^{2} }{r}

      T = 150 + \frac{15.3 \times (5.5)^{2} }{4.1}

      T = 262.88 N

    Therefore, the tension in the rope is 262.88 N

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