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ring lies on a horizontal table, and the left end of the spring isattached to a

ID: 1729946 • Letter: R

Question

ring lies on a horizontal table, and the left end of the spring isattached to a wall. The other end is connected to a box. The box ispulled to the right, stretching the spring. Static friction existsbetween the box and the table, so when the spring is stretched onlyby a small amount and the box is released, the box does not move.The mass of the box is 0.70 kg, and the spring has a springconstant of 78 N/m. The coefficient of static friction between thebox and the table on which it rests is s= 0.77. How far can the spring be stretched from its unstrainedposition without the box moving when it is released?

Please help me solve this question!

Explanation / Answer

   Given that the mass of box is m = 0.70 kg       Force constant is K = 78 N/m       The coefficient of staticfriction is s = 0.77 If the box not moving   spring force balanced by thefrictional force                        s*mg = kx                               x = s*mg / k                                    = 0.067 m                                    = 6.7 cm                                    = 67 mm