Question

The center of two identical spheres are 50cm apart .If the gravitation force between the sphere be 4n.Find the mass of each sphere .☺​

Answer 1

Answer:

$\large\bold\red{\frac{1}{\sqrt{G}}\:Kg}$

Explanation:

Let,

the mass of each sphere be 'm' Kg

Now,

it is being given that,

distance between their centres is 50 cm

$= > r =( 50 \times {10}^{ - 2}) \: m$

Also,

Gravitational force between them = 4 N

Now,

we know that,

Gravitational force Is given by,

$\bold{F_{g}=G\frac{m_{1}m_{2}}{{r}^{2}}}$

Therefore,

We get,

$= > \frac{G {m}^{2} }{ {r}^{2} } = 4 \\ \\ = > \frac{G {m}^{2} }{ {(50 \times {10}^{ - 2} )}^{2} } = 4 \\ \\ = > \frac{G {m}^{2} }{ {( \frac{1}{2} )}^{2} } = 4 \\ \\ = > \frac{G {m}^{2} }{ \frac{1}{4} } = 4 \\ \\ = > G {m}^{2} = 4 \times \frac{1}{4} \\ \\ = > G {m}^{2} = 1 \\ \\ = > {m}^{2} = \frac{1}{G} \\ \\ = > m = \frac{1}{ \sqrt{G} }$

Hence,

Mass of each sphere is $\large\bold{\frac{1}{\sqrt{G}}\:Kg}$