If the masses of two planets doubles and the distance between them reduces by half, the...

Question

Question

If the masses of two planets doubles and the distance between them reduces by half, the force between them would be

science physics

Answer 1

Answer #1

let

m₁= mass of the planet 1^st

m₂= mass of the second planet

d= distance between the planets

force between two planets is

F = (G m₁ m₂ )/(d² )

now the masses of the planets becomes doubled and distance is reduce to half then

"m₁ " becomes "2m₁ " and "m₂ " becomes "2m₂" and "d" becomes "d/2" then force becomes

F' = (G 2m₁2m₂) / (d/2)² = 4Gm₁m₂ / ( d²/4)

F' = 16(G m₁ m₂ )/(d² ) = 16F

the force between them would be BECOMES 16 TIMES OF INITIAL FORCE

Answer 2

Similar Homework Help Questions

Consider a pair of planets for which the distance between them is increased by a factor...

Consider a pair of planets for which the distance between them is increased by a factor of three. Show what happens to the force of attraction between these two planets.
Answer the following: a) If the distance between two objects doubles, and the mass of the...

Answer the following: a) If the distance between two objects doubles, and the mass of the objects stay the same, what can be said of the force of gravity between them? b) If the distance between two objects halves, and the mass of one of the objects stays the same and the other triples, what can be said of the force of gravity between them?
Two planets with masses M1 and M2 are located at a distance d from each far...

Two planets with masses M1 and M2 are located at a distance d from each far removed from any other planets or abject in the outer space. Where should a satellite of mass m be located if we need to have the two gravitational force acting on it. (a) to be balanced (equal). (b) the force from planet m1 to be three times larger compared to that from the planet m2

Two bodies are exerting a gravitational force of 100N on each other. If the mass of each body doubles and the distance between them stays the same, what is the new gravitational force between them?

Two bodies are exerting a gravitational force of 100N on each other. If the mass of each body doubles and the distance between them stays the same, what is the new gravitational force between them?
How would the force of gravity between two masses be affected if the separation distance between...

How would the force of gravity between two masses be affected if the separation distance between them were the following? (Assume F2 represents the new force and F1 represents the original force.) (a) double the original distance (b) one-fifth the original distance
How would the force of gravity between two masses be affected if the separation distance between...

How would the force of gravity between two masses be affected if the separation distance between them were the following? (Assume F2 represents the new force and F1 represents the original force.) (a) quadruple the original distance F2 / F1 = (b) one-third the original distance F2 / F1 =

Please solve step by step explain If the distance between two charges doubles, the electric (Coulomb)...

Please solve step by step explain If the distance between two charges doubles, the electric (Coulomb) force between them... becomes one-fourth quadruples halves doubles stays the same
Two masses, m1 and m2 are separated by a distance, r. The force of attraction between...

Two masses, m1 and m2 are separated by a distance, r. The force of attraction between the two masses is F. If the original force is 20N and both masses quadruple while the r decreases to ¼ of the original distance: A) how much would F change? B) what will be the new force?
the gravitationl force between two masses placed a certain distance away is mesured to be 50...

the gravitationl force between two masses placed a certain distance away is mesured to be 50 N if the distance between them is halved then the new forces between the two obj will be 25N 100N 200N 50N

1) When the centers of two spherical masses are separated by distance D, the masses exert...

1) When the centers of two spherical masses are separated by distance D, the masses exert gravitational force of magnitude Forig on each other. If the separation between the centers of the same two masses is increased to 4D, the new magnitude of the force of gravitational force of each mass on the other is? 2) When the centers of two spherical masses are separated by distance D, the masses exert gravitational force of magnitude Forig on each other. If...