A cat sits on the top of a fence that is 2.0 m high. The cat has a gravitational potential energy of 88.9 J. What is the mass of the cat ?

Question

A cat sits on the top of a fence that is 2.0 m high. The cat has a gravitational potential energy of 88.9 J. What is the mass of the cat ?

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Thái Dương 4 years 2021-08-10T13:01:29+00:00 1 Answers 66 views 0

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    2021-08-10T13:02:31+00:00

    Answer:

    The mass of the cat is 4.534 kg

    Explanation:

    Given

    gravitational potential energy PE_{G} = 88.9 J

    Height h = 2.0 m

    To find: mass of the cat

    We know that the gravitational potential energy is given by

    PE_{G}  = mgh, where

    m = mass of body

    g = acceleration due to gravity = 9.8 m/s^{2}

    h = height above ground

    Hence , mass m =  \frac{PE_{G}}{gh}

                               = \frac{88.9}{9.8 x 2.0}

                               = 4.534 kg

    Hence the mass of the cat is 4.534 kg

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