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A person brings a mass of 1 kg from infinity to a point A. Initially , the mass was 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 -5.5J.The gravitational potential at A is ----------------------
at infinity , V(potential) = 0 at point A , V = Va workdone by gravitational force = mdV = m(Va-0) = mVa workdone by person is 5.5J now , change in kinetic energy = net workdone 1/2(mv2-0) = mVa - 5.5 mVa = 4.5+5.5=10 Va = 10V thus potential of A is 10V
at infinity , V(potential) = 0
at point A , V = Va
workdone by gravitational force = mdV = m(Va-0) = mVa
workdone by person is 5.5J
now , change in kinetic energy = net workdone
1/2(mv2-0) = mVa - 5.5
mVa = 4.5+5.5=10
Va = 10V
thus potential of A is 10V
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