Imagine two protons traveling past each other at a distance d, with relative speed 0.9c. Compared with two stationary protons a distance d a

Question

Imagine two protons traveling past each other at a distance d, with relative speed 0.9c. Compared with two stationary protons a distance d apart, the gravitational force between those two protons when at their closest will be

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Philomena 4 years 2021-07-20T12:57:13+00:00 1 Answers 30 views 0

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  1. bonexptip
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    2021-07-20T12:59:12+00:00
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    Answer:

    The gravitational force between the protons will be larger.

    Explanation:

    Given:

    Two protons are separated by a distance d.

    The protons has a velocity, v = 0.9c.

    The relation of the mass of the moving protons with its rest mass is given by

    m = \dfrac{m_{0}}{\sqrt{1 - \dfrac{v^{2}}{c^{2}}}}

    where, m_{0} is the rest mass of the protons.

    Substitute 0.9c for v in the above equation, we have

    m = 2.29m_{0}

    As the masses of the moving protons are greater than that of its rest mass the gavitational force will be larger.

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