Question

The gravitational force acting on a particle of 1 g due to a similar particle is equal to 6.67 x 10⁻¹⁷ N. Calculate the separation between the particles.
Concept of Physics - 1 , HC VERMA , Chapter "The Force".

Answer 1

Hello Dear.

Given quantities are :- 

m₁=m₂= 0.001 kg = 1 g . 
here m₁ and m₂ be the mass

We know , G = 6.67 x 10⁻¹¹ Nm²/kg²
$F_{g}$ = 6.67 x 10⁻¹⁷ (given)

Now we know the gravitational formula ,
$F_{g}$ = $\frac{Gm_{1} m_{2} }{r^{2} }$ 

Putting all the value in the given formula 

6.67 x 10⁻¹⁷ = 6.67 x 10⁻¹¹ x $\frac{0.001 * 0.001 }{r^{2} }$ .
=10⁻¹⁷ / 10⁻¹⁷
=1
r= 1 m. 

Hence the separation between the two particles are 1 m  .


Hope it Helps :-)

Answer 2

Answer:

1m

Explanation in the above picture.