The gravitational force between two equal masses at a distance ris F. When one of the masses become half, the distance at which it should be kept so that the sitational force remains same.
Answers
Answer:
The gravitational force between two objects is:
F = (G)(M)(m)/(r^2) where G is the gravitational constant, M and m are the two masses and r is the distance between them.
To solve the question, we need to have F (that big equation) equal to a new altered equation and make them equal
GMm/r^2 = GM(m/2)/x^2. (x because it's a wanted variable were trying to find(
Although, instead of doing that we can simply rearrange:
GMm/r^2 = GMm/2x^2.
Therefore, 2x^2 = r^2 to get the same equation.
However, we are not done. We must take the square root of both sides,
We get:
2x^2 = r^2
x^2 = r^2/2
Taking the square root of both sides,
x = r/sqrt(2)
Therefore, the new distance must be the original distance divided by sqrt(2) where sqrt means square root (of).
Answer:
Gravitational force does not depends on mass of a body. So it can maintain same gravitational force.