Mathematics: If distance is increasrd 4 times then the force will be decreased how many times

was good broStep-by-step explanation:...

If distance is increasrd 4 times then the force

Ответ:

heberavilesramirez52

13.01.2022

Mathematics

The force will be decreased by a factor of 16.

Step-by-step explanation:

Given:

The distance is increased 4 times then the force

Solution

The Newton's law of gravitation is states the every particle is attracted by a force. and this force is directly proportional to product of their masses and inversely proportional to the square of distance between their centre and it is written as.

F ∝ $\frac{m_{1}\times m_{2}}{r^{2} }$

$F=G\frac{m_{1}\times m_{2}}{r^{2} }$

Where G is the gravitational constant.

And $m_{1}, m_{2}$ is the mass of the particles.

And r is the distance between the particles.

If distance is increased by 4

F ∝ $\frac{1}{r^{2}}$

F ∝ $\frac{1}{4^{2}}$

F ∝ $\frac{1}{16}$

Therefore, the force will be decreased by a factor of 16.

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If distance is increasrd 4 times then the force will be decreased how many times

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