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Gravitational force is a conservative and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational field in vector and scalar form respectively. Actually gravitational field intensity is equal to the negative of the potential gradient. Potential energy is defined for only conservative force. It is also equal the total energy in escaping condition. Gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force, if potential at infinity is taken zero.
A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves with a speed of 2 m/s as it reaches A. The work done by the person on the mass is -3J. The potential of A is

  1. -3 J / kg      
  2. -2 J / kg      
  3. -5 J / kg      
  4. -7 J / kg      

The correct answer is: -5 J / kg


    table attributes columnalign left end attributes row cell because W equals capital delta K E    because W subscript text person  end text end subscript plus W subscript text field  end text end subscript equals 1 divided by 2 m v squared end cell row cell rightwards double arrow W subscript text person  end text end subscript plus U subscript 1 minus U subscript 2 equals 1 divided by 2 m v squared end cell row cell rightwards double arrow negative 3 plus open parentheses 0 minus V subscript A close parentheses cross times 1 equals 1 divided by 2 cross times 1 cross times 2 squared rightwards double arrow V subscript A equals negative 5 J divided by k g end cell end table

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