An air-track glider of mass 0.097 kg is attached to the end of a horizontal air

Question

An air-track glider of mass 0.097 kg is attached to the end of a horizontal air track by a spring with force constant 18.0 N/m (a) With the air track turned off, the glider travels 8.8 cm before it stops instantaneously. How large would the coefficient of static friction s have to be to keep the glider from springing back to the left? (b) If the coefficient of static friction between the glider and the track is s= 0.58, what is the maximum initial speed v1 that the glider can be given and remain at rest after it stops instantaneously? With the air track turned off, the coefficient of kinetic friction is k= 0.45. m/s

Explanation / Answer

What you are looking for is the spring force kL which is exactly equal to the frictional force ?mg. This tells you how far the spring can compress and let the glider remain at rest after stopping.

The glider both loses energy to friction while sliding and puts energy into the spring. The energy in the spring is

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