Formula of Potential Energy of A Spring

The potential energy of a spring is given by,

P.E = ½ k x2

Where,

  • k is the spring constant
  • x is the spring displacement

Solved Examples

Example 1: Determine the potential energy of a spring whose spring constant is 200 N/m and the displacement is 0.8 m.

Solution:

Given parameters are

k = 200 N/m

x = 0.8 m

The potential energy of a string formula is given by

P.E = 1/2 kx2

P.E = ½ (200 x (0.8)2)

P.E = 64 J

Example 2: The spring constant and displacement of a stretched string is 100 N/m and 0.5 m respectively. Determine the potential energy stored in the stretched string.

Solution:

Given parameters are

k = 100 N/m

x = 0.5 m

Potential energy of a string formula is given by,

P.E = 1/2 kx2

P.E = 1/2 x (100 x (0.5)2)

P.E = 12.5 J

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