A person brings a mass of 1 kg from infinity to a point A. Initially, the mass at rest but it moves at a speed of 3 m/s as it reaches A. The work done by the person on the mass is -5.5 J. The gravitational potential at A is : 

-10 J/kg

\(\Delta W = \Delta U + \Delta K\)

\(\Rightarrow \Delta U = \Delta W - \Delta K\)

  = - 5.5 - \(\frac{1}{2}\) x 1 x 3²

  = - 10 J

\(\Delta V_g = \frac{\Delta U}{m}\)

  = - 10 J/kg