A constant potential energy of a satellite is given as

$$\mathrm{PE}=r(\mathrm{KE})$$

whee, PE = potential energy

and KE = kinetic energy.

The value of $$r$$ will be

A satellite can be in a geostationary orbit around a planet if it is at a distance R from the centre of the planet. If the planet starts rotating about its axis with double the angular velocity, then to make the satellite geostationary, its orbital radius should be

Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is