Chapter 10, Problem 04 GO A Spring les on horizontal tabie, and the l end of the

Question

Chapter 10, Problem 04 GO A Spring les on horizontal tabie, and the l end of the spring is attached to a mall. The other end is connected to a box. The box is pulled to the nght, stretching the spring. Statie feren exists between the box and the table, so when the spring is stretched only by a smail amount and the box is released, the box does not move. The mass of the box is 0.90 kg, and the spring has a spring constant of 55 N/m. The coefficient of static friction between the box and the table on which it rests is#x-049. How far can tne spring be stretched fom its unstrained position without th. box moving when it is released? the tolerance as +/-2% Click if you would like to Show Work for this questions Sen Show Wars

Explanation / Answer

The box can be stretched until the restoring force equals the static friction force.

F = -uR

=> - kx = - ukmg

=> 55x = 0.69([0.9]9.8)

=> x = 0.1106m = 11.06 cm

so, the spring can be stretched until 0.1106 meters.

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