Question

What is the relation between potential energy and distance²(x²)?of elastic potential energy

Answer 1

Elastic Potential Energy

Elastic potential energy is Potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring. It is equal to the work done to stretch the spring, which depends upon the spring constant k as well as the distance stretched. According to Hooke's law, the force required to stretch the spring will be directly proportional to the amount of stretch.

Since the force has the form

F = -kx

then the work done to stretch the spring a distance x is

Show details

For spring constant k=

N/m

and displacement x =

m,

the potential energy =

J.

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Energy concepts

Answer 2

Answer:

Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched.

According to Hooke’s law, the force applied to stretch the spring is directly proportional to the amount of stretch.