57. Estimate Potential Energy A boulder with a mass of 2,500 kg rests on a ledge that is 200 m above a canyon floor. Estimate th

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57. Estimate Potential Energy A boulder with a
mass of 2,500 kg rests on a ledge that is 200 m
above a canyon floor. Estimate the gravita-
tional potential energy of the boulder-Earth
system relative to the canyon floor.

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  1. Answer: 4.9 x 10^6 joules

    Explanation:

    Given that:

    mass of boulder (m) = 2,500 kg

    Height of ledge above canyon floor (h) = 200 m

    Gravita-tional potential energy of the boulder (GPE) = ?

    Since potential energy is the energy possessed by a body at rest, and it depends on the mass of the object (m), gravitational acceleration (g), and height (h).

    GPE = mgh

    GPE = 2500kg x 9.8m/s2 x 200m

    GPE = 4900000J

    Place result in standard form

    GPE = 4.9 x 10^6J

    Thus, the gravita-tional potential energy of the boulder-Earth system relative to the canyon floor is 4.9 x 10^6 joules

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