Question

The gravitational force of attraction between two bodies is $F$ Newtons. If the mass of each body and the distance between them are doubled. Then the gravitational force between them in Newton is

• A. 16F
• B. F/16
• C. F/4
• D. F

Answer 1

The correct option is D

F

Step 1 ASSUMING THE DATA:

Let,

Mass of first body $=m_1$

Mass of second body $=m_2$

We have,

$F=\frac{G{m}_1{m}_2}{r^2}$

Step 2 Solution:

According to the question, the mass of each body and distance are doubled.

So, we have

$$\begin{gathered} F=\frac{2.2.G{m}_1{m}_2}{{\left(2r\right)}^2} \\ F=\frac{4G{m}_1{m}_2}{4r^2} \\ F=F \end{gathered}$$

Hence, option (d) is correct.