Work By Variable Forces (Springs) Video Lessons

Concept

# Problem: An air-track glider of mass 0.100 kg is attached to the end of a horizontal air track by a spring with force constant 20.0 N/m. Initially the spring is unstreched and the glider is moving at 1.50 m/s to the right. With the air track turned off, the coefficient of kinetic friction is k=0.47. It can be shown that with the air track turned off, the glider travels 8.6 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 when it stops instantaneously?If the coefficient of static friction between the glider and the track is exttip{mu_{ m s}}{mu_s} = 0.75, what is the maximum initial speed v1 that the glider can be given and still remain at rest after it stops instantaneously?

###### Problem Details

An air-track glider of mass 0.100 kg is attached to the end of a horizontal air track by a spring with force constant 20.0 N/m. Initially the spring is unstreched and the glider is moving at 1.50 m/s to the right. With the air track turned off, the coefficient of kinetic friction is k=0.47. It can be shown that with the air track turned off, the glider travels 8.6 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 when it stops instantaneously?

If the coefficient of static friction between the glider and the track is = 0.75, what is the maximum initial speed v1 that the glider can be given and still remain at rest after it stops instantaneously?