Question

If the sentence between the earth and the moon become just half the present value the gravitational force between them will change by afactor

Answer 1

hey mate here is your answer

if the distance between earth and moon became half the gravitational force between them became two times from PRESENT value.

it will surely help you.

Answer 2

Given:

• Distance between earth and moon becomes half.

To find:

• Factor by which the gravitational force will change ?

Calculation:

The general expression of gravitational force between earth and moon :

$F = \dfrac{G(m1)(m2)}{ {d}^{2} }$

• 'G' is Gravitational Constant, 'd' is separation.

Now, distance between moon and earth becomes halved (i.e. d/2):

So, new force will be :

$F_{2} = \dfrac{G(m1)(m2)}{ {(d/2)}^{2} }$

$\implies F_{2} = \dfrac{4G(m1)(m2)}{ {d}^{2} }$

$\implies F_{2} = 4 \times \dfrac{G(m1)(m2)}{ {d}^{2} }$

$\implies F_{2} = 4 \times F$

So, new force becomes 4 times the initial force.