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17 July, 05:40

On the moon, the gravitational acceleration is approximately one-sixth that on the surface of the earth. A 5-kg mass is "weighed" with a beam balance on the surface of the moon.

a) What is the expected reading?

b) If this mass is weighed with a spring scale that reads correctly for standard gravity on earth, what is the reading?

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  1. 17 July, 05:50
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    A. 8.175 N

    B. 49.05 N

    Explanation:

    A.

    Acceleration due to gravity (moon) = 1/6 * (acceleration due to gravity (earth)

    Acceleration due to gravity (earth) = 9.81 m/s2

    Acceleration due to gravity (moon) = 9.81/6

    = 1.635 m/s

    Weight. Fm = acceleration due to gravity * mass

    = 1.635 * 5

    = 8.175 N

    B. Acceleration due to gravity (earth) * mass = Fe

    = 9.81 * 5

    = 49.05 N
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