# 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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###### Problem Details

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?