Question

gravitational force between two point mass media and M separated by a distance d is F now a point mass 4m is placed next to me, so that the total force om M = XF then x = ​

Answer 1

Explanation:

Correct option is

A

F=4F.

a. If r is the distance between two point masses m and M, then the gravitational force on m due to mass M is F = GMm/r

2

. Since the gravitational force between two point masses is independent of the presence of other masses, so if a point mass 3m is placed next to m, the force on M due to m is F=

r

2

GMm

b. Total force on the body of mass M is F, i.e.,

F=

r

2

GM×(m+3m)

=

r

2

4GMm

=4F.

Answer 2

The total force on M will be 4F.

Gravitational force between two point masses m and M separated by a distance r is given by

$F=\frac{GMm}{r^{2} }F=$

When a point mass of 3m is placed next to m, then the total force becomes

$\begin{gathered}F=\frac{GM(m+3m)}{r^{2}}\\F=\frac{GM(4m)}{r^{2}}\\F=4\frac{GMm}{r^{2}}\\F=4F\end{gathered}$

Therefore, the total force on M increases by 4 times.