A 28.0-kg block is resting on a flat horizontal table. On top of this block is r

Question

A 28.0-kg block is resting on a flat horizontal table. On top of this block is resting a 18.0-kg block, to which a horizontal spring is attached, as the drawing illustrates. The spring constant of the spring is 330 N/m. The coefficient of kinetic friction between the lower block and the table is 0.410, and the coefficient of static friction between the two blocks is 0.730. A horizontal force is applied to the lower block as shown. This force is increasing in such a way as to keep the blocks moving at a constant speed.
Determine the amount by which the spring is compressed at the point where the upper block begins to slip on the lower block.
m

Explanation / Answer

maximum static friction f = us N = 0.730 x 18 x 9.81 = 128.90 N

on m2,

kx - fmax = 0

330x = 128.90

x = 0.391 m

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