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19 January, 22:30

With an elevation of 5,334 m above sea level, the village of Aucanquilca, Chile is the highest inhabited town in the world. What would be the gravitational potential energy associated with a 64 kg person in Aucanquilca?

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  1. 19 January, 22:51
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    The gravitational potential energy, P. E = 3345484.8 J

    Explanation:

    Given,

    The mass of the person, m = 64 kg

    The elevation of the village, h = 5334 m

    The gravitational potential energy is the energy possessed by the body due to its height from the surface of the Earth at sea level.

    Therefore, the gravitational P. E at height h above sea level is given by the relation

    P. E = mgh joules

    Substituting the given values,

    P. E = 64 kg x 9.8 m/s² x 5334 m

    = 3345484.8 J

    Hence, the gravitational potential energy associated with the person, P. E = 3345484.8 J
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