# Gravitational energy to Spring energy

X has a mass of 55 kg and hangs from a rope. As a result of this, the rope stretches by 0.6 m. Calculate the energy stored in the rope as a result of stretching.

Solution:

F = kx and E = 0.5x^2. Using this fetches the answer as 161.5

However, the change in potential energy (calculated using mgh ) of X is exactly twice of this energy stored. Is there a relationship between the two?. What is the explanation?

Note by Pratik Soni
1 year, 10 months ago

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