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Classical Mechanics

Potential Energy

Concept Quizzes

Potential energy vs. work
Conservative vs. non-conservative forces
Potential energy due to gravity
Potential energy of springs
Potential Energy - problem solving

Challenge Quizzes

Potential Energy: Level 2-3 Challenges

Potential energy of springs

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

{5}\text{ N/m}

{7}\text{ N/m}

{3}\text{ N/m}

{9}\text{ N/m}

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by Brilliant Staff

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

{800}\text{ J}

{320}\text{ J}

{80}\text{ J}

{160}\text{ J}

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

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

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

{75}\text{ J}

{80}\text{ J}

{90}\text{ J}

{400}\text{ J}

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

{1}\text{ m}

{6}\text{ m}

{12}\text{ m}

{13}\text{ m}

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

{4}\text{ J}

{64}\text{ J}

{16}\text{ J}

{32}\text{ J}

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by Brilliant Staff