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A long spring is stretched by 2 cm. Its potential energy 
is U. If the spring is streched by 10 cm, its potential 
energy would be
  • a)
    U/25
  • b)
    U/5
  • c)
    5 U
  • d)
    25 U
Correct answer is option 'D'. Can you explain this answer?
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A long spring is stretched by 2 cm. Its potential energyis U. If the s...
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A long spring is stretched by 2 cm. Its potential energyis U. If the s...
Explanation:

Given:
- Initial stretch = 2 cm
- Potential energy at initial stretch = U

Calculation:
- The potential energy stored in a spring is directly proportional to the square of the displacement from its equilibrium position.
- Therefore, if the spring is stretched by 2 cm, the potential energy is U.
- If the spring is stretched by 10 cm, the potential energy would be 25 times more than the initial potential energy (since potential energy is proportional to the square of displacement).
- So, the potential energy when the spring is stretched by 10 cm = 25U.
Therefore, the correct answer is option D) 25U.
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A long spring is stretched by 2 cm. Its potential energyis U. If the spring is streched by 10 cm, its potentialenergy would bea)U/25b)U/5c)5 Ud)25 UCorrect answer is option 'D'. Can you explain this answer?
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