Question

Two 2 kg masses exert a gravitational force of 6.67 X 10 -11 N. What will be the separation between them? 10-11N is 10 raised to power -11

Answer 1

The separation between them will be 2m.

Given:

Two 2 kg masses.

Gravitational force is 6.67 X 10 ⁻¹¹ N

To find:

The distance of separation between them.

Solution:

The formula for gravitational force as per Newton's Law of Gravitation is:

F = G (m1 × m2 / r²)

We know that G is the universal gravitational constant and is fixed.

6.67 X 10 ⁻¹¹  =  6.67 X 10 ⁻¹¹  ( 2 × 2 / r²)

6.67 X 10 ⁻¹¹  =  6.67 X 10 ⁻¹¹  ( 4 / r²)

1 = 4/r²

r² = 4

r = 2 m

Thus, the distance of separation is found to be 2m.

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