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What is potential energy ? Derive an exp...

What is potential energy ? Derive an expression for the gravitational potential energy .

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Potential energy : Definition : The energy possessed by a body by virtue of its position of state is called potential energy
e.g. : (1) Energy possessed by water stored in a dam
A stretched rubber card
Formula for P.E = mgh : The potential is measured by the work done is lifting a body through a height .h. against gravitational force.
Consider a body of mass m on the body against gravitational force .
` :.` Gravitational force F = Weight of the body
Minimum force needed to left the body = F in upwards direction F = mg
Height lifted =h
Work done W = gravitational force `xx` height lifted
W = mgh
This work done done is stored as potential energy .
`:.` Potential energy P.E = mgh
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Knowledge Check

  • The gravitational potential at centre of earth is

    A
    `-(2GM)/R`
    B
    `-(3GM)/R`
    C
    `(3GM)/R`
    D
    `-(GM)/(2R)`
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