Question

gravitational force between two points masses m and M separated by a distance is f now a point mass 3M is placed next to m so that the total force on M=Xf then x=​

Answer 1

Explanation:

. 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

Answer:

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

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

r

2

GMm

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}

F=

r

2

GM(m+3m)

F=

r

2

GM(4m)

F=4

r

2

GMm

F=4F

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

Explanation:

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