Question

5. If the distance between two objects decreases
to 25%, then to what percent does the force of
gravitation change?
Answer fast.
Correct answer = Brainliest​

Answer 1

We know that,

The formula of force of gravity, F = \frac{Gm_1m_2}{d^2}

Where is theG is the Gravitational constant.

m_1 and m_2 is the masses of the two bodies 1 and 2 respectively.

d is the distance of the of the two bodies.

Then,

If the the distance between two bodies is increased by 25%,

So,

d' is the distance of the of the two bodies after the distance increased by 25%,

d' = d + \frac{25}{100} \times d

= d + \frac{1d}{4}

= \frac{5d}{4}

Then,

The force of gravity after the distance increased by 25%, F' = \frac{Gm_1m_2}{d'^2}

F' =\frac{Gm_1m_2}{d'^2}

= \frac{Gm_1m_2}{\frac{5d}{4}^2}

= \frac{16}{25} \frac{Gm_1m_2}{d^2}

F'= \frac{16}{25} F

The change in gravitational force \Delta F(%) = \frac{F' - F}{F} \times 100

= \frac{\frac{16}{25} F - F}{F} \times 100

= (\frac{16}{25} - 1 ) \times 100

= \frac{16 - 25}{25} \times 100

= (-9) \times 4

\Delta F = -36%

Here, the (-) negative sign indicates the decreasing of the gravitational force.

Hence, the % change in gravitational force is decreases by 36%.

To know more:

How does the force of gravitation between two objects change when the distance between them is doubled

Explanation:

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Answer 2

Answer:

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