Elastic Potential Energy

The work done in stretching a material is equal to the:

Force applied multiplied by the extension created

The area under a force-extension graph is equal to the:

Work done to stretch the material

Draw a force-extension graph that obeys Hooke’s law:

What is work done equal to?

1/2Fx

Draw a force-extension graph that does not obey Hooke’s law:

What is work done equal to?

Area under graph

Elastic potential energy is defined as the:

Energy stored within a material when it is stretched or compressed

The elastic potential energy for a material deformed within its limit of proportionality is found from the:

Area under force-extension graph

When a material demonstrates elastic potential up to the limit of proportionality, work done is equal to:

Elastic potential energy stored in material

When a material demonstrates elastic potential up to the limit of proportionality, elastic potential energy stored in material is equal to:

Work done

When is work done equal to elastic potential energy stored in material?

When it demonstrates elastic behavior up to limit of proportionality

If a material obeys Hooke’s Law (within limit of proportionality), the elastic potential energy and work done can be calculated using the following equation:

Work done = EPE = 1/2Fx

Equation for elastic potential energy in terms of spring constant k:

EPE = 1/2kx², where k= spring constant (N/m) and x= extension (m)

Why is EPE = 1/2kx²

EPE=1/2Fx, and F=kx