A light spring of force constant 3.90 N/m is compressed by 8.00 cm and held betw

Question

A light spring of force constant 3.90 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a0.450 kg block on the right. Both blocks are at rest on a horizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following. In each case, assume that the coefficient of static friction is greater than the coefficient of kinetic friction. Let the positive direction point to the right.

              .250kg  .450kg

uk= 0.00  ?m/s     ?m/s

uk= .100  ?m/s     ?m/s

uk= .458  ?m/s     ?m/s  

My main question is how to solve uk=.100 for .250kg. I understand it is negative and just below zero. Please Help.

Explanation / Answer

Force acting on the 0.450 kg is the spring force kx = 3.9*0.08 = 0.312 N.
The maximum kinetic frictional force on this mass is

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