A spring lies on a horizontal table, and the left end of the springis attached t

Question

A spring lies on a horizontal table, and the left end of the springis attached to a wall. The other end is connected to a box. The boxis pulled to the right, stretching the spring. Static frictionexists between the box and the table, so when the spring isstretched only by a small amount and the box is released, the boxdoes not move. The mass of the box is 0.60 kg, and the spring has aspring constant of 55 N/m. The coefficient of static frictionbetween the box and the table on which it rests iss = 0.62. How far can the spring bestretched from its unstrained position without the box moving whenit is released?

Explanation / Answer

kx = mg x = mg/k = 0.62*0.60*9.8/55 = 0.0663 m = 6.63 cm

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