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A 10-lb block is attached to an unstretched spring of constant k=12lb/in. The coefficients of static and kinetic friction between the block and the plane are 0.60 and 0.40, respectively. If a force F is slowly applied to the block until the tension in the spring reaches 20lb and then suddenly removed, determine (a) the speed of the block as it returns to its initial position, (b) the maximum speed achieved by the block

F=-k/x

Ff=mew(Fn)

Espring = 1/2kx(squared)

KE = 1/2mv(squared)

this is first post so I don't really know proper format for equations

I solved for Velocity in returning position, I got an answer of 2.32 ft/sec which is correct according to my books answer key.

I really just need help with solving for V max. I realize that I should go about setting up an equation that sets KE equal to X and then solve for KE max, but I don't know how to begin. Please help, any direction would be appreciated.

## Homework Equations

F=-k/x

Ff=mew(Fn)

Espring = 1/2kx(squared)

KE = 1/2mv(squared)

this is first post so I don't really know proper format for equations

I solved for Velocity in returning position, I got an answer of 2.32 ft/sec which is correct according to my books answer key.

I really just need help with solving for V max. I realize that I should go about setting up an equation that sets KE equal to X and then solve for KE max, but I don't know how to begin. Please help, any direction would be appreciated.

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