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andrey2020 [161]
3 years ago
11

A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2

r. The magnitude of the gravitational force exerted by the planet on Moon 2 is which of the following compared with the gravitational force exerted by the planet on Moon 1?
half as largetwice as largeone-fourth as largefour times as largethe same
Physics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

Half as large.

Explanation:

Using Newton's law of universal gravitation, if the mass of the planet is <em>M</em> and of the Moons 1 and 2 is <em>m</em>, them the force exerted by the planet on them will be:

F_1=\frac{GMm}{r}

F_2=\frac{GMm}{2r}

Which clearly shows that the force that the planet exerts on the Moon 2 is half  the force it exerts on the Moon 1.

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