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 S is the gain in spring energy & G is the loss in gravitational potential energy in the process, then:
Correct answer: C. G = 2S
- A. S = G
- B. S = 2G
- C. G = 2S
- D. None of these
Explanation
At equilibrium position x = mg / kUspring = (1/2) k x² = (1/2) k (mg / k) x = mgx / 2 = (1/2) (loss in G.P.E.) ⇒ G = 2S
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About Potential Energy
Potential energy is energy stored because of position or configuration, including gravitational potential energy near Earth's surface and elastic energy in a stretched or compressed spring. Questions use changes in potential energy and conservation of mechanical energy, while distinguishing a chosen reference level from an absolute zero of energy.
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