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Potential energy is defined...

Potential energy is defined

A

Only in conservative fields

B

As the negative of work done by conservative forces

C

As the negative of workdone by eternal force when `DeltaK=0`

D

All of these

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The correct Answer is:
A
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A force is said to be conservative if work done by or agains the force depends only on initial and final positions of the body and not on the nature of path followed. A force is said to be non-conservative, if work done by or against the force in moving a body from one position to another, depeds on the path followed between these two positions. Potential energy is defined only for conservative forces. It does not exist for non-conservative forces. Read the above passage and answer the following question : (i) Give two examples, each for conservative and non-conservative forces. (ii) Potential energy does not exist for non-conservative forces. What does it imply ini day to day life ?

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:

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:

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

Match the following {: ( "Column I", " Column II"),(" (A) Example of conservative force ", "(p) Work done by all forces " ) ,("(B) Potential energy defined for only " , "(q) Force constant (spring constant)"), ("(C ) If two spring are stretched by same force, then ratio of their potential energy is in the inverse ratio of their " , "(r) Gravitational force"),("(D) Change in kinetic energy is equal ", "(s) Conservative force"):}

Define the term potential energy, and derive its dimensions. Write an expression for the gravitational potential energy of a body of mass m raised to a height h above the earth's surface

A : The potential energy can be defined only in conservative field. R : The value of potential energy depends on the reference level (level of zero potential energy).

AAKASH INSTITUTE-WORK, ENERGY AND POWER-Assignment (SECTION - A)
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  2. The total work done on a particle is equal to the change in its kineti...

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  3. Potential energy is defined

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  4. A stick of mass m and length l is pivoted at one end and is displaced ...

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  5. A spring with spring constant k when compressed by 1 cm the PE stored ...

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  6. Two springs have spring constants k(1)and k(2) (k(1)nek(2)). Both are ...

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  7. Initially mass m is held such that spring is in relaxed condition. If ...

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  8. A block of mass m moving with velocity v(0) on a smooth horizontal sur...

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  9. For a particle moving under the action of a variable force, kinetic en...

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  10. A particle of mass 1 kg is subjected to a force which varies with dist...

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  11. An unloaded bus can be stopped by applying brakies on straight road af...

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  12. The potential energy of a particle of mass 5 kg moving in the x-y plan...

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  13. The power of water pump is 4 kW. If g=10 ms^(-2), the amount of water ...

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  14. A particle moves with the velocity vecv=(5hati+2hatj-hatk)ms^(-1) unde...

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  15. A body is projected from ground obliquely. During downward motion, pow...

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  16. The blades of a windmill sweep out a circle of area A. If the wind flo...

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  17. A body of mass m, accelerates uniformly from rest to V(1) in time t(1)...

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  18. The power of a pump, which can pump 500 kg of water to height 100 m in...

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  19. A pump is used to pump a liquid of density rho continuously through a ...

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  20. A car of mass m has an engine which can deliver power P. The minimum t...

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