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Which of the following statements is true for work done by conservative forces?

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Important Questions on Work, Energy and Power

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Which of the following statement is incorrect for a conservative field?
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As shown in the diagram, a particle is to be carried from point A to C via paths I, II and III in gravitational field, then which of the following statements is correct.

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The relation between conservative force and potential energy U is given by :-
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Which of the following is non-conservative force?
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The graph between potential energy U and displacement X in the state of stable equilibrium will be-
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A particle moves in a potential region given by U = 8x2 – 4x + 400 J. Its state of equilibriumwill be-
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For the path PQR in a conservative force field the amounts work done in carrying a body from P to Q and from Q to R are 5 Joule and 2 Joule respectively. The work done in carrying the body from P to R will be 

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The mass of a bucket full of water is 15 kg. It is being pulled up from a 15m deep well. Due to a hole in the bucket 6 kg water flows out of the bucket. The work done in drawing the bucket out of the well will be (g = 10m/s2) :