Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > 1The Earth may be considered to be a uniform sphere with its massMconcentrated at itscentre.A satellite of massmorbits the Earth such that the radius of the circular orbit isr.(a)Show that the linear speedvof the satellite is given by the expressionv=√GM.r[2](b)For this satellite, write down expressions, in terms ofG,M,mandr, for(i)its kinetic energy,kinetic energy = …………………………. [1](ii)its gravitational potential energy,potential energy = …………………………. [1](iii)its total energy.total energy = …………………………. [2]ForExaminer’sUse© UCLES 2006⎛⎞⎝⎠

1The Earth may be considered to be a uniform sphere with its massMconcentrated at itscentre.A satellite of massmorbits the Earth such that the radius of the circular orbit isr.(a)Show that the linear speedvof the satellite is given by the expressionv=√GM.r[2](b)For this satellite, write down expressions, in terms ofG,M,mandr, for(i)its kinetic energy,kinetic energy = …………………………. [1](ii)its gravitational potential energy,potential energy = …………………………. [1](iii)its total energy.total energy = …………………………. [2]ForExaminer’sUse© UCLES 2006⎛⎞⎝⎠

A satellite of mass 1000kg is rotating around the earth in a circular orbit of radius 3R. What extra energy should be given to this satellite if it is to be lifted into an orbit of radius 4R?