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Gravitational force is a conservation an...

Gravitational force is a conservation and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational fied in vector and scaler form respectively. Actually gravitational fied intensity is equal to the negative of the negative of teh potential gradient. potential energy is defined for only conservation force. it is also equal to 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.
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 a mass is `-3 J`. The potential of `A` is:

A

`(1)/(2)mv_(e )^(2)-(GMm)/(2R)=-(GMm)/(R )`

B

`(1)/(2)mv_(o)^(2)-(GMm)/(2R)=0`

C

`(1)/(2)mv_(e )^(2)-(GMm)/(R)=0`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Gravitational force is a conservation and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational fied in vector and scaler form respectively. Actually gravitational fied intensity is equal to the negative of the negative of teh potential gradient. potential energy is defined for only conservation force. it is also equal to 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. The gravitational potential inside a hollow sphere (mass M , radius R ) at a distance r from the centre is:

    A
    zero
    B
    `-(GM)/R`
    C
    `-(GM)/r`
    D
    `-(GM)/(r^(2))`
  • The gravitational potential

    A
    is same everywhere inside a uniform spherical shell.
    B
    at a point is always negative.
    C
    is maximum at infinity.
    D
    of a body is the gravitational potential energy per unit mass of the body.
  • Gravitational force is a conservation and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational fied in vector and scaler form respectively. Actually gravitational fied intensity is equal to the negative of the negative of teh potential gradient. potential energy is defined for only conservation force. it is also equal to 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. Gravitational potential versus distance r graph is represented in figure. The magnitude of gravitational field intensity is equal to

    A
    `8` Newton `// kg`
    B
    `4` Newton `// kg`
    C
    `6` Newton`// kg`
    D
    `2` Newton`//kg`
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