Answer:
12 units
Explanation:
The formula force for calculating the gravitational force between two masses is expressed as:
F = GMm/d²
M and m are the masses
d is the distance between the masses
If Objects 1 and 2 attract each other with a gravitational force of 36 units, then;
36 = GMm/d₁² .... 1
If the distance us tripled, new distance will be 3d₁. The gravitational force between them will be expressed as:
F = GMm/3d₁² .... 2
Divide equation 1 by 2:
36/F = GMm/d₁²÷GMm/3d₁²
36/F = GMm/d₁²×3d₁²/GMm
36/F = 3d₁²/d₁²
36/F = 3/1
Cross multiply
3F = 36
F = 36/3
F = 12 units
Hence if the distance between the masses is tripled, the new gravitational force will be 12 units
