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

Question

A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other end is connected to a box. The box is pulled to the right, stretching the spring. Static friction exists between the box and the table, so when the spring is stretched only by a small amount and the box is released, the box does not move. The mass of the box is 0.55 kg, and the spring has a spring constant of 53 N/m. The coefficient of static friction between the box and the table on which it rests is ?s = 0.62. How far can the spring be stretched from its unstrained position without the box moving when it is released?

Explanation / Answer

Ff =F

mg =Kx

x =mg/K =0.62*0.55*9.8/53 =0.063m or63mm

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