Gravity Calculator

Gravity is nothing but the force that tries to pull two objects towards the surface of the earth. It is defined as the product of gravitational constant, mass of the first product, and mass of the second product divided by the square of the distance between centres of two objects. Here we are providing the simple steps to find the gravitational force in no time easily.

• First collect the mass of first and second object, radius or distance between the objects from your question.
• The formula to compute the gravitational force is F = G m1*m2/r2.
• Where G is the gravitational constant = 6.67 x 10-11 N m2 / kg2.
• m1, m2 are the massess of the objects one and two respectively.
• r is the radius in metres.
• Replace the values in the above formula.
• Perform multiplication and division operations to get the gravitational force value.

Force of Gravity Formula

The formula to calculate the gravitational force is

F = GmM/r2 or GmMd2

Where,

d is the distance between the two objects.

m is the mass of object 1 in kg.

M is the mass of object 2 in kg.

G is the gravitational constant value which is 6.67 x 10-11 N m2 / kg2.

r is the radius.

d is the distance between the objects.

Example

Question: What is the force of gravity acting on an object at the Earth’s surface? Earth’s mass = 5.98 x 1024 kg, object’s mass = 1000 kg, the radius of the Earth is 6.38 x 1066 m.

Solution:

Given data

Earth’s mass (m1)= 5.98 x 1024 kg

Object’s mass (m2)= 1000 kg

Radius of the Earth (r)= 6.38 x 106 m

The formula for gravitational force = G*m1*m2/r2

We know that Universal Gravitational Constant (G) = 6.67 x 10-11 N m2 / kg2

Substitute all the above values in the formula.

F = (6.67 x 10-11)*(5.98 x 1024)*(103)/(6.38 x 106)2

= (6.67 x 10-11)(5.98 x 1027)/(40.7 x 1012)

= 39.8 x 1016/40.7 x 1012

= 0.9778 x 104

= 9.778 N

Object’s weight w = mg

Acceleration due to gravity g = 9.8 m/s2

w = 1000 * 9.8

w = 9800 N

Force of gravity acting on an object at the Earth’s surface is 9.8 N.

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1. What is the force of gravity in N?

The formula for force of gravity according to the Newton is F = G m1m2/r2. F is the force in nwetons which is equal but opposite direction for both objects. G is the gravitational constant, approximately 6.674×10-11 N m2/kg2.

2. What two factors affect gravity?

According to the Newtons laws, the stength of gravity between any two objects depends on two factors. One is object mass and second is distance between the objects. Objects with greater mass have a stonger force of gravity between them.

3. Does zero gravity exist?

The sensation of weightlessness or zero gravity happens when the effects of gravity are not felt. Gravity does exist everywhere in the universe becuase it is defined as the force that attracts two bodies to each other.

4. What is value of Gravitational Constant (G)?

The value of gravitational constant G is 6.674×10-11 N m2/kg2 on Earth. It says that the acceleration of gravity on the earth surface at the sea level is 9.8 m/s2.

5. The ratio of the mass of the planet A and planet B is 2 : 3, while the ratio of the radius of the planet A and planet B is 1 : 2. If the weight of an object on planet A is w, what is the weight of the object on the planet B?

Given values are

Mass of planet A (mA) = 2

Mass of planet B (mB) = 3

Radius of planet A (rA) = 1

Radius of planet B (rB) = 2

Mass of object = m

Object weight on planet A = w

Objects weighr on planet B = ?

Force of weight from Newton’s law of gravity formula is:

w = GMm/r2

Object weight on planet A is wA = G mA m/ r^2

w = G(2)m/12 = 2Gm/1

w = 2Gm

m = w/2G

Object weight on planet B:

wB = G mB m/r2

wB = G(3)m/ 22 = 3Gm/4

Substitute m = w/2G in the above equation

wB = 3G/4 * (w/2G) = 3w/8

Weight of the object on the planet B = 3/8 w