The total energy of a satellite having mass m orbiting around the earth has mass M in a circular orbit with velocity v is

The total energy of a satellite having mass m orbiting around the eart

1.	The total energy of a satellite having mass m orbiting around the earth has mass M in a circular orbit with velocity v is
Answer» `(1)/(2) mv^(2)` `-(1)/(2) mv^(2)` `m v^(2)` `(GMm)/(8)` Solution :As `K.E. = (1)/(2) mv^(2) = (1)/(2)m(GM)/(R ) = (GMm)/(2R)` `P.E. = (-GMm)/(r ) = - mv^(2)` `T.E. = K.E. + P.E.` `= (1)/(2) mv^(2) - mv^(2) = -(1)/(2) mv^(2)`