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 23.5 N/m                                                        (a) With the air track turned off, the glider travels 8.9 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?
1

                    (b) If the coefficient of static friction between the glider and the track is ?s= 0.62, 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= 0.51.
2  m/s                                       (a) With the air track turned off, the glider travels 8.9 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?
1

                    (b) If the coefficient of static friction between the glider and the track is ?s= 0.62, 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= 0.51.
2  m/s

Explanation / Answer

a) let coefficent be u

then

u*m*g = 23.5*0.089

u*0.097*9.8=23.5*0.089

u = 2.20018

b)now distance it travelled = 0.089- (0.62*0.097*9.8/23.5) = 0.0639

using law of conservation of energy

0.5*0.097*v*v =0.51*0.097*9.8*0.0639

v= 0.7992 m/s

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