Relative Error or fractional error : It is defined as the ration of mean absolute error to the mean value of the measured quantity.
We know by Newton's law of gravitation, the force on the body of mass m, situated at height h to the surface of the earth of mass ME is given by:
-(1)
we also know F=mass X acceleration( here acceleration is acceleration due to gravity)
F=mg -(2)
Equating (i) & (ii), we get