Problem: A spring stores potential energy U0 when it is compressed a distance x0 from its uncompressed length.In terms of U0, how much energy does it store when it is compressed twice as much?In terms of x0, how much must it be compressed from its uncompressed length to store twice as much energy?In terms of U0, how much energy does it store when it is compressed half as much?In terms of x0, how much must it be compressed from its uncompressed length to store half as much energy?

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A spring stores potential energy U₀ when it is compressed a distance x₀ from its uncompressed length.

In terms of U₀, how much energy does it store when it is compressed twice as much?

In terms of x₀, how much must it be compressed from its uncompressed length to store twice as much energy?

In terms of U₀, how much energy does it store when it is compressed half as much?

In terms of x₀, how much must it be compressed from its uncompressed length to store half as much energy?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Springs & Elastic Potential Energy concept. You can view video lessons to learn Springs & Elastic Potential Energy. Or if you need more Springs & Elastic Potential Energy practice, you can also practice Springs & Elastic Potential Energy practice problems.