Question

The gravitational force between two objects is 49 N.How much must the distance between these objects be decreased so the the force between them becomes dounle. →TOPIC-GRAVITATION →CLASS -9 ALL THE BEST​

Answer 1

$\bold\red{PLEASE\:MARK\:AS\:BRAINLIEST}$

Gravitational force is given by:

$\bold{F_1=G \frac{m_1m_2}{r {}^{2} _1}}$

where G: is gravitational constant

$\small \bold{m_1,m_2:the \: mass \: of \: the \: two \: object}$

$\small \bold{r_1: initial \: distance \: between \: them}$

Given,

$\bold{F_1=49N}$

$\bold{F_2=2 \times F_1}$

$\bold{F_2=G \frac{m_1m_2}{r {}^{2} _2}} = \bold{ 2 \times G \frac{m_1m_2}{r {}^{2} _1}}$

$\bold{gives, r^2_2 = \frac{r^2_1}{2}}$

$\small \bold{r_2 = \frac{r_1}{ \sqrt{2} } = 0.707r_1 = (1 - 0.293 )r_1}$

Therefore, the distanced between them should be reduced by 29.3%.