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 0.76kg, and the spring has a spring constant of 64 N/m. The coefficient of static friction between thebox and the table on which it rests is s =0.78. How far can the spring be stretchedfrom its unstrained position without the box moving when it isreleased?
x = 1

Explanation / Answer

mass of the box m = 0.76 kg spring constant k = 64 N / m Coefficient of static friction = 0.78 whenthe magnitude of restoring force of spring =magnitude of static fritional force then it not moved                                                                   kx = mg from this required streached distance x = mg/ k                                                             = 0.0907 m                                                             = 9.077 cm

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