The Total solution for NCERT class 6-12
A rocket is fired from the earth towards thesun. At what distance from the earthтАЩs centre is the gravitational force on therocket zero? Mass of the sun = 2 ├Ч1030┬аkg, mass of theearth = 6 ├Ч 1024┬аkg. Neglect the effect of otherplanets etc. (orbital radius = 1.5 ├Ч 1011┬аm).
Mass of the Sun,┬аMs┬а= 2 ├Ч 1030┬аkg
Mass of the Earth,┬аMe┬а= 6 ├Ч 10┬а24┬аkg
Orbital radius,┬аr┬а= 1.5 ├Ч1011┬аm
Mass of the rocket =┬аm
Let┬аx┬аbe the distance fromthe centre of the Earth where the gravitational force acting on satellite Pbecomes zero.
From NewtonтАЩs law ofgravitation, we can equate gravitational forces acting on satellite P under theinfluence of the Sun and the Earth as: