Two particles are separated by a certain distance. the force of gravitational interaction between them is f0. now the separation between the particles is tripled. find the new force of gravitational interaction f1.

The gravitational force after the separation between the two particles is tripled will be .

Further Explanation:

The force of attraction due to gravity is the force which exists between two bodies kept at a distance from each other. This force is given by Newton’s law of gravitation.

The Newton’s law of gravitation states that the gravitational force of attraction between the bodies kept at a certain distance is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The above explanation can be shown mathematically as:

The proportionality equations can be combined and the formula for the Gravitational force of attraction can be written as:

Let us consider that in initial distance between the two bodies is . Now, if the distance between the two bodies is tripled of its initial distance, then the new separation becomes .

Substitute  for ,  for , for  and  for  in above expression.

Thus, the new gravitational force of attraction after increasing the separation between the two particles is .

Learn More:

1. Calculate the total force on the earth due to Venus, Jupiter, and Saturn

2. How far must you compress a spring with twice the spring constant to store the same amount of energy

3. Choose the 200 kg refrigerator. Set the applied force to 400 N

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Gravitation

Keywords:

Gravitational interaction, separated by a certain distance, gravitational force, Newton’s law of gravitation, between the particles, tripled.

f=ma a/f/m a= 480/60 a = 8m/s/s that is quick wow