Question

Gravitational force between 2 bodies is 2000N find the new force if the distance is halfed

Answer 1

Answer:

The force of gravitational attraction between the two bodies of mass (M) and (m) is F=G

r

2

Mm

.

Now, If masses of both objects are halved without changing distance between them or M=

2

M

and m=

2

m

Now, F=G

4r

2

Mm

.

Thus, force becomes one-fourth as we reduce the masses to half without altering the distances.

Explanation:

please mark it brainliest answer and please don't forget to give me a thanks for this answer

Answer 2

Given that ,

The gravitational force between two bodies is 2000 N

We know that , the gravitational force between two objects is given by

$\large \sf\fbox{F = G \frac{ m_{1}m_{2} }{ {(r)}^{2} } }$

Thus ,

$</p><p>\sf \Rightarrow 2000 = G \frac{ m_{1}m_{2} }{ {(r)}^{2} }$

Let , the new gravitational force b/w two bodies be " F' " when distance is halved

Then ,

$</p><p>\sf \Rightarrow F' = G \frac{ m_{1}m_{2} }{ {( \frac{r}{2} )}^{2} } \\ \\</p><p>\sf \Rightarrow F' = 4 \times G \frac{ m_{1}m_{2} }{ {( r)}^{2} } \\ \\</p><p>\sf \Rightarrow F' =4 \times 2000 \: \: \: \{ \because G \frac{ m_{1}m_{2} }{ {(r)}^{2} } = 2000\} \\ \\</p><p>\sf \Rightarrow F' =8000 \: \: N$

$\sf \therefore \underline{The \: new \: gravitational \: force \: between \: two \: bodies \: is \: 8000 \: N}$