The escape velocity of a projectile on the earth's surface is 11.2 km/s. A body is projected out with thrice this speed. The speed of the body far away from the earth will be

Kepler's second law of planetary motion corresponds to

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