- #1

adrenalinefix

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## Homework Statement

A spring has its right end fixed and is installed on a horizontal table so that the free end, in equilibrium, is at x = 3.00 m. A 1.65 kg block coming from the left slides along the table. When it passes the origin, it is moving at 5.58 m/s. It strikes the spring, compresses it momentarily, and is then sent back toward the left, where it eventually comes to rest at the point x = 1.50 m. The coefficient of kinetic friction between the block and the table is 0.300. By what distance was the spring compressed?

## Homework Equations

KE=1/2mv^2

PEspr.=1/2kx^2

Wfric.= (Uk)(Fn)d

## The Attempt at a Solution

I'm just not sure what to do. It should be so easy, with only KE of the block and PE of the spring, along with the Work done by friction. I don't really see how it's possible to solve for a displacement/compression of the spring when the spring constant isn't known.