Question

what should be done in order to increase the gravitational force between two objects?

increase the distance between the two objects.

decrease the mass of both of the objects.

decrease the mass of one of the objects.

decrease the distance between the two objects.

Explanation:

Step1: Recall the gravitational force formula

The gravitational force formula is \(F = G\frac{m_1m_2}{r^2}\), where \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between them.

Step2: Analyze the effect of each option

• For the option "Increase the distance between the two objects": As \(r\) increases, \(F\) decreases since \(F\propto\frac{1}{r^2}\).
• For the option "Decrease the mass of both of the objects": As \(m_1\) and \(m_2\) decrease, \(F\) decreases since \(F\propto m_1m_2\).
• For the option "Decrease the mass of one of the objects": As either \(m_1\) or \(m_2\) decreases, \(F\) decreases since \(F\propto m_1m_2\).
• For the option "Decrease the distance between the two objects": As \(r\) decreases, \(F\) increases since \(F\propto\frac{1}{r^2}\).

Answer:

Decrease the distance between the two objects.