A 0.25 kg book falls off a 2 m shelf on to a 0.5 m chair. What was the change in GPE?

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A 0.25 kg book falls off a 2 m shelf on to a 0.5 m chair. What was the change in GPE?

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Euphemia 5 months 2021-08-30T07:08:44+00:00 1 Answers 4 views 0

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    2021-08-30T07:09:45+00:00

    The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.

    If we’re solving for the change in GPE, then:

    U_{g} = mg∆H

    Input our given values for m and g:

    U_{g} = 0.25 * 9.80 * ∆H

    The book falls from 2 meters high to 0.5 meters high, so:

    U_{g} = 0.25 * 9.80 * (2.0 – 0.5)

    U_{g} = 0.25 * 9.80 * 1.5

    U_{g} = 3.675 (J)

    Adjust for significant figures:

    U_{g} = 3.7 (J)

    The change in gravitational potential energy was 3.7 (J)

    If you have any questions on anything I did to get to the answer, just ask!

    – breezyツ

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