The Total solution for NCERT class 6-12
A rocket is fired from the earth towards thesun. At what distance from the earth’s centre is the gravitational force on therocket zero? Mass of the sun = 2 ×1030 kg, mass of theearth = 6 × 1024 kg. Neglect the effect of otherplanets etc. (orbital radius = 1.5 × 1011 m).
Mass of the Sun, Ms = 2 × 1030 kg
Mass of the Earth, Me = 6 × 10 24 kg
Orbital radius, r = 1.5 ×1011 m
Mass of the rocket = m
Let x be the distance fromthe centre of the Earth where the gravitational force acting on satellite Pbecomes zero.
From Newton’s law ofgravitation, we can equate gravitational forces acting on satellite P under theinfluence of the Sun and the Earth as: