What happens to the gravitational force between two objects when the distance between them is halved and doubled
Answers
Correct Answer:
i) If the distance between the two objects is halved then the gravitation doubles, as gravition is inversly proportional to distance between two objects, so here it is doubled.
ii) If the distance between the two objects are doubled then the gravitational force dcreases because, here the distance between the two objects are increasjng, we also know that gravitation is inversely proportional to the distance between two objects.
When distance between objects is halved, gravitational force becomes four times.
When distance between objects is doubled, gravitational force becomes one-fourth.
Explanation:
Gravitational force is given as:
Where G is the gravitational constant, is the mass of first object and is the mass of second object and is the distance between both the objects.
- When is halved, which means , then force of gravitation becomes . So, gravitational force becomes four times.
- When is doubled, which means , then force of gravitation becomes . So, gravitational force becomes one-fourth.