Q.

One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. If 5 is the gain in spring energy and G is the loss in gravitational potential energy in the process, then

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a

S = G

b

S = 2G

c

G = 2S

d

None of these

answer is C.

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Detailed Solution

At equilibrium position, x=mgkUspring=12kx2=12kmgkx=mgx2=12 (loss in GPE) ⇒ G = 2S
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One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. If 5 is the gain in spring energy and G is the loss in gravitational potential energy in the process, then