What is the gravitational force fg between the two objects described in part b if the distance between them is only 50 km ?

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What is the gravitational force fg between the two objects described in part b if the distance between them is only 50 km ?

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Khải Quang 3 years 2021-09-03T05:00:41+00:00 1 Answers 52 views 0

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  1. danthu
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    2021-09-03T05:01:44+00:00
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    Answer:

    8000\ N

    Explanation:

    The question is incomplete.

    The complete question would be

    B) Suppose the magnitude of the gravitational force between two spherical objects is 2000 N when they are 100 km apart. What is the gravitational force F_g between the two objects described in Part B if the distance between them is only 50 km.

    Given gravitational force between two object F_g=2000\ N when objects are placed 100\ km apart.

    We need to determine gravitational force when they are kept 50\ km apart.

    As we know the gravitational force F_g is inversely proportional to the square of distance between objects (d).

    F_g=\frac{K}{d^2}

    Where K=Gm_1m_2 that will be constant. Because the mass of the object remain same in both cases. And G is already gravitational constant.

    Given,

    2000=\frac{K}{100^2}\\ So,\ K=2000\times 100^2

    Let F'_g is the force between objects when they were kept 50\ km apart.

    F'_g=\frac{K}{50^2} \\\\F'_g=\frac{2000\times 100^2}{50^2}\\ \\F'_g=2000\times 4=8000\ N

    So, 8000\ N is the gravitational force when two objects were kept 50\ km apart.

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