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

Options

A. `(1)/(2) mv^(2)`
B. `-(1)/(2) mv^(2)`
C. `m v^(2)`
D. `(GMm)/(8)`

Answer

B

Explanation

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)`