Two men each have a mass of 90 kg. if the gravitational force between them is 8.64 x 10^-8 n, how far apart are they?

Explanation:

Given that,

Two men has equal mass

Then, M1 = M2 = M = 90kg

Gravitational force between them is

F = 8.64× 10^-8N.

Distance apart r=?

So we want to find distance apart

Using the gravitational law formula

F = GM1M2 / r²

Where G is gravitational constant

G = 6.67 × 10^-11 Nm²/kg²

Since M1 = M2 = 90kg

Then,

F = GM² / r²

8.64 × 10^-8 = 6.67 × 10^-11 × 90² / r²

Cross multiply

8.64 × 10^-8 × r² = 6.67 × 10^-11 × 90²

r² = 6.67 × 10^-11 × 90² / 8.64 × 10^-8

Then,

r ² = 6.253

r = √6.253

r = 2.5m

The distance between the men is 2.5m