Question

the gravitational force between two objects is 2400 n. what will be the gravitational force between the objects if the mass of one object is doubled?
600 n
1200 n
4800 n
9600 n

Explanation:

Step1: Recall gravitational - force formula

The gravitational force between two objects is given by $F = G\frac{m_1m_2}{r^2}$, 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. Initially, $F_1=G\frac{m_1m_2}{r^2}=2400\ N$.

Step2: Analyze the change in mass

If the mass of one object (say $m_1$) is doubled, the new force $F_2 = G\frac{(2m_1)m_2}{r^2}=2\times G\frac{m_1m_2}{r^2}$.

Step3: Calculate the new force

Since $F_1 = G\frac{m_1m_2}{r^2}=2400\ N$, then $F_2 = 2F_1$. Substituting the value of $F_1$, we get $F_2=2\times2400 = 4800\ N$.

Answer:

C. 4800 N