Science, asked by savgun0014, 10 months ago

if distance between two bodies is increased by 25%, then the % change in
gravitational force
(a) Decreases by 36%
(b) Increases by 36%
(c) Increases by 64%
(d) Decreases by 64%​

Answers

Answered by kingofself
36

The % change in gravitational force is decreases by 36%.

Option - A

Explanation:

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

https://brainly.in/question/4223820

Answered by vivek2004class11NEET
2

Answer:

gigb ug glad that you are definitelyCorrect option is

A

Decreases by 36%

F=

r

2

Gm

1

m

2

r

=r+

4

r

F

=

25

16F

F

=64%F

Thus, the force decreases by 36%

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