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12 July, 05:08

Consider a system of an 85.0 kg man, his 21.0-kg dog, and the earth. The gravitational potential energy of the system increases by 2.40 103 J when the man climbs a spiral staircase from the first to the second floor of an apartment building. If his dog climbs a normal staircase from the same first floor to the second floor, by how much does the potential energy of the system increase (in J) ?

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  1. 12 July, 07:47
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    593 J

    Explanation:

    The change in the potential energy (PE) can be calculated using the following expression.

    PE = m * g * h

    where,

    m: mass

    g: acceleration due to the gravity

    h: height (vertical distance from the first floor to the second floor)

    For the 85.0-kg man,

    PE = m * g * h

    2.40 * 10³ J = 85.0 kg * 9.81 m/s² * h

    h = 2.88 m

    For the 21.0-kg dog,

    PE = m * g * h

    PE = 21.0 kg * 9.81 m/s² * 2.88 m = 593 J
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