Question

Two point masses m and M are separated by a distance d. If the separation remains fixed and the masses are increased to the values 3 m and 3 M respectively, how does the gravitational force between them change?​

Answer 1

Solution:-

When two point  masses m and M placed on the surface of earth  are separated by a distance d between them both the point masses experience a force of attraction between them

$\implies\mathtt{ F= \dfrac{GMm}{d^{2} }}....(1)$

Here ,

• G = universal gravitational constant
• M,m = point masses  
• d = distance between point masses

Now , two point masses 3M and 3m are kept at a distance of d with each other

$\implies\mathtt{ F_1= \dfrac{G 3M \times 3m}{d^{2} }}$

$\implies\mathtt{ F_1= \dfrac{9 \times G M m}{d^{2} }}...(2)$

Substituting (1) in (2) we get ,

$\implies\boxed{\mathtt{ F_1=9F }}$

Answer 2

Answer:16

Explanation: