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.

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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Neala 5 years 2021-08-10T16:53:48+00:00 1 Answers 96 views 0

Answers ( )

  1. King
    0
    2021-08-10T16:55:39+00:00
    Reply

    Answer:

    1.94\cdot 10^{20} N

    Explanation:

    The magnitude of the gravitational force between two objects is given by the equation:

    F=G\frac{m_1 m_2}{r^2}

    where

    G is the gravitational constant

    m1, m2 are the masses of the two objects

    r is the separation between the objects

    The gravitational force is always attractive.

    In this problem, we have:

    m_1 = 5.98\cdot 10^{24}kg is the mass of the Earth

    m_2 = 7.34\cdot 10^{22} kg is the mass of the Moon

    r=3.88\cdot 10^8 m is the separation between the Earth and the Moon

    Therefore, the gravitational force between them is

    F=(6.67\cdot 10^{-11})\frac{(5.98\cdot 10^{24})(7.34\cdot 10^{22})}{(3.88\cdot 10^8)^2}=1.94\cdot 10^{20} N

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