Question

Gravitational force between two objects is 10 N. If masses of both objects are doubled without changing distance between then, then the gravitational force would become

(a) 2.5 N

(b) 20 N

(c) 40 N

(d) 10 N​

Answer 1

Answer:

b 20 N

Explanation:

if the mass is doubled the force is doubled

Answer 2

Given:

Original mass of both the bodies = m and M

Gravitational force between two objects = 10 Newton

New mass of both the bodies = 2m and 2M

To find: New gravitational force

Calculation:

Let the distance between both masses be r.

So, the gravitational force is given as:

$F=G\frac{mM}{r^{2} }$, where G is the gravitational constant.

New gravitational force:

$F'=G\frac{2m*2M}{r^{2} } \\F'=G\frac{4mM}{r^{2} } \\F'=4F$

So, new force F' = 4 * previous force F

Answer:

New gravitational force will be 4 times the previous gravitational force.