Question

6. according to newton law of gravitation force exerted btw 2 particles is F=Gm1m2/r2. from the above formula write down the gravitation constant and also write its unit ​

Answer 1

According to the Question

It is given that ,

Gravitational force exerted between two particles is

• F = Gm1m2/r²

We have to find the formula for calculating the gravitational constant and also its unit .

Formula for calculating the gravitational constant will be

• G = Fr²/m₁m₂

Now, calculating the unit of Universal gravitational constant .

Firstly we will consider the mass and radius in its SI unit which is kg & Metre respectively .

Unit of Gravitational Force is

= Kgm/s²

mass is in Kg

distance is in m (metres)

Now,

$\dashrightarrow\bf\; G = \frac{Fr^2}{m_1m_2} \\\\\dashrightarrow\bf\; G = \frac{Kgms^{-2}m^2}{Kg\times\;Kg} \\\\\dashrightarrow\bf\; G = \cancel\frac{Kgms^{-2}m^2}{Kg^2} \\\\\dashrightarrow\bf\; G = \frac{ms^{-2}m^2}{Kg} \\\\\dashrightarrow\bf\; G = \frac{m^3s^{-2}}{Kg} \\\\\dashrightarrow\bf\; G = \frac{m^3}{Kg\times\; s^{2}}$

$\boxed{\bf{\bf\; G = \frac{m^3}{Kg\times\; s^{2}}}}$.

Answer 2

Answer:

Nm²/kg²

Explanation:

Given that according to newton law of gravitation force exerted btw 2 particles is F = G (m1m2)/r².

Where F is force, G is gravitational constant, m1 and m2 are masses & r is the radius.

We need to find out the unit of Gravitational constant.

We know that S.I. unit of force is newton (N), unit of radius is meter (m) and of mass is kilogram (kg).

Substitute their values in this formula:

G = (F × r²)/(m1 × m2)

G = (N × m²)/(kg × kg)

G = Nm²/kg²

Therefore, the unit of Gravitational constant i.e. G is Nm²/kg².