Classical Mechanics

Potential Energy

Potential energy of springs

         

A spring is shortened by 2 m2\text{ m} from its original length. If the elastic potential energy of the spring is 10 J,10\text{ J}, what is the value of the spring constant?

A spring hanging from the ceiling has a length of 4 m,4\text{ m}, and its spring constant is k=20 N/m.k=20\text{ N/m}. If the spring is pulled so that its length gets doubled, what is the elastic potential energy in the spring?

An object is at rest on a frictionless surface is attached to the wall by an elastic spring of strength 10 N/m.\SI[per-mode=symbol]{10}{\newton\per\meter}.

A force of strength F=40 NF=40\text{ N} pulls the object toward the right.

What is the elastic potential energy of the spring at equilibrium?

In the figure above, an object of mass m=4 kgm=4\text{ kg} is sliding towards a spring with a speed of v=6 m/sv=6\text{ m/s} on a frictionless horizontal floor. If the spring constant is k=1 N/m,k=1\text{ N/m}, what is the maximal change in the spring's length?

The spring in a monster truck's suspension is shortened by 4 m4\text{ m} from its original length. If the spring constant is k=2 N/m,k=2\text{ N/m}, what is the elastic potential energy of the spring?

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