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Gravitational Force Calculator
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Gravity is one of the four fundamental forces of nature, along with the electromagnetic force, the strong nuclear force, and the weak nuclear force. Newton's law of gravity which describes gravitational force, is a very important law.

Gravitational force between any two objects depends on both the masses of the objects and the distance between the objects. The gravitational force is independent of medium between the masses while the electrical force depends upon the medium between the charges.
The equation describing Newton's law of gravity is

$F = \frac{G \times M_{1} \times M_{2}}{D^{2}}$
Where G = 6.67 $\times$ 10-11 N-m2/kg2

Steps for Gravitational Force Calculator

Step 1 :

Read the problem and list out the values given.

Step 2 :

Substitute the values in the corresponding formula to get the value for gravitational force.

$F = \frac{G \times M_{1} \times M_{2}}{D^{2}}$

Problems on Gravitational Force Calculator

1. The mass of an object is 200kg and a radius of 709km. What mass must be located at the surface of the object for a gravitational force of 470N?

Step 1 :

Given data

M1 = 200kg

D = 709km

M2 = ?

G =  6.67 $\times$ 10-11 N-m2/kg2

F = 470N

Step 2 :

Substitute the values in the formula

$F = \frac{G \times M_{1} \times M_{2}}{D^{2}}$

$470 = \frac{6.67 \times 10^{-11} \times 200 \times M_{2}}{709}$

M2 = 177.10 $\times$ 1014 kg

The answer is M2 = 177.10 $\times$ 1014 kg.

2. What is the gravitational force between following two objects: Object A is 1490kg and Object B is 3845kg. The two objects are 650km apart.

Step 1 :

Given data

M1 = 1490

M2 = 3845

D = 650

G = 6.67 $\times$ 10-11 N-m2/kg2

F = ?

Step 2 :

Substitute the values in teh corresponding formula

$F = \frac{G \times M_{1} \times M_{2}}{D^{2}}$

$F = \frac{6.67 \times 10-11 \times 1490 \times 3845}{650}$

F = 9.04 $\times$ e-10

The answer is F = 9.04 $\times$ e-10