Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:

The gravitational force between two stones of mass $1 \, kg$ each,separated by a distance of $1 \, m$ in a vacuum,is:

Three particles each of mass $m_{1}$ are placed at the corners of an equilateral triangle of side $\frac{L}{3}$. $A$ particle of mass $m_{2}$ is placed at the midpoint of any one side of the triangle. Due to the system of particles,the net gravitational force acting on $m_{2}$ is ($G$ = Universal constant of gravitation).

If the mass of a body is $M$ on the Earth's surface,then the mass of the same body on the Moon's surface is:

The distance between two objects $A$ and $B$ is $r$. The gravitational force between them is inversely proportional to the square of the distance. If the gravitational force between these two objects were inversely proportional to the fourth power of the distance,find the acceleration of object $A$.

Two solid spheres each of radius $R$ made of the same material are placed in contact with each other. If the gravitational force acting between them is $F$,then: