Spring Energy — Two CompressionsHardQuestion 30439
Question
A spring is first compressed by x then by 2x. Ratio of work done (second to first compression) is:
- A2:1
- B4:1Correct
- C3:1
- D8:1
Correct answer
4:1
Explanation
W₁ = ½kx², W₂ = ½k(2x)² = 2kx². W₂/W₁ = 2kx²/(½kx²) = 4. Ratio = 4:1.