What gravitational force does the moon produce on the Earth is their centers are 3.88×108 m apart and the moon has a mass of 7.3

Question

What gravitational force does the moon produce
on the Earth is their centers are 3.88×108 m apart
and the moon has a mass of 7.34×1022 kg?

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Kiệt Gia 3 years 2021-08-09T15:17:53+00:00 1 Answers 11 views 0

Answers ( )

  1. diemkieu
    0
    2021-08-09T15:19:19+00:00
    Reply

    Answer:

    F = 1.94 \times 10^{20} N

    Explanation:

    Mass of earth ; M = 5.973 \times 10^{24} kg

    Mass of moon ; m = 7.34 \times 10^{22}kg

    distance between them is ;d = 3.88 \times 10^{8}m

    Gravitational constant is given by

    G = 6.67 \times 10^{-11} m^{3}kg^{-1}s^{-2}

    So , the gravitational force between them is

    F = \frac{GMm}{d^{2}}

    Insert the values

    F = \frac{6.67 \times 10^{-11} \times 5.973 \times 10^{24} \times 7.34 \times 10^{22}}{(3.88 \times 10^{8})^{2}} N

    So,

    F = 1.94 \times 10^{20} N

    Thus , the force between earth and moon is F = 1.94 \times 10^{20} N

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