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Show that the wor done by a force is equ...

Show that the wor done by a force is equal to change in potential energy .

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Explore conceptually related problems

Choose the correct options – (1) )The work done by forces may be equal to change in kinetic energy (2)The work done by forces may be equal to change in potential energy (3) The work done by forces may be equal to change in total energy (4) The work done by forces must be equal to change in potential energy.

Work done by a force is given by w=oversetrightarrowF.oversetrightarrowS where oversetrightarrowF is the force and oversetrightarrowS is the displacement. Show that : Work done is also equal to change in potential energy using this expression.

Knowledge Check

  • Separation between the plates of a parallel plate capacitor, connected to a battery (zero resistance) of constant emf. is increased with constant (very slow) speed by external forces. During the process, W is the work done by external forces, DeltaU is the change in potential energy of the capacitor, W_b is the work done by the battery and H is the heat loss in the circuit. Then

    A
    `W+W_b=DeltaU`
    B
    `H ne 0`
    C
    `H=DeltaU`
    D
    `W=0`

  • Asseration : Displacement time graph of a particle moving in a straight line is shown in figure. Work done by all the forces between time interval t_(1) and t_(2) is definitely zero. , Reason : Work done by all the forces is equal to change in kinetic energy.

    A
    If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
    B
    If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
    C
    If Assertion is true, but the Reason is false
    D
    If Assertion is false but the Reason is true.

  • The total work done on a particle is equal to the change in its mechanical energy

    A
    if the forces acting on are conservative
    B
    if gravitational force alone acts on it
    C
    if elastic alone acts on it.
    D
    none of these

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