1.

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.​

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 equalGMm/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^2x^2 = r^2/2Taking 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).


Discussion

No Comment Found

Related InterviewSolutions