A satellite of mass m is in the orbit round the earth at a distance of 2 5R above its - Physics - Gravitation

Question

A satellite of mass m is in the orbit round the earth at a distance
of 2 5R above its surface If gravitational field strength at
surface of earth is g calculate the centripetal force acting on the
satellite

Vaibhav T. · Accepted Answer

Dear Student,

Centripetal force acting on the satellite, F=ma 
 (1)where, m=mass of satellitea=centripetal accelerationAlso, a=v2rwhere v=velocity of satelliter=distance of satellite from centre of earthor, a=v2R+h 
 (2)where, R=radius of earth=6400 kmh=Altitude of satellite=from (1) and (2),F=mv2R+hF=mv2R+2
5R   because h=2
5 R given in the questionF=mv23
5RBy substituting the value of m and v, you can get the value of force

A satellite of mass m is in the orbit round the earth at a distance of 2.5R above its surface. If gravitational field strength at surface of earth is g calculate the centripetal force acting on the satellite.