A 1200-kg automobile is stolen by the notorious Physics joyriders known as “the

Question

A 1200-kg automobile is stolen by the notorious Physics joyriders known as “the centripetal gang”. The gang tests their grasp on Newtonian physics by cruising around a banked circular track of radius 1039 m. From previous ‘experiments’ the gang has discovered the car’s coefficient of static friction to be µS =0.280, and that the sharp bank is 28.5°. The gang performs a dangerous experiment to find the maximum speed the car can travel the track without skidding. A conscientious member of the gang states that it might be safer to instead test for the minimum speed for the car
to not slip into the bank. Solve for this speed

Explanation / Answer

applying force balance equation

we have sMgcos=Mgsin+Mv2/r

so, v2=(sMgcos-Mgsin)xr / M

substituting M=1200kg g=9.8m/s2 r=1039m =28.5 s = 0.280

v= 48.57 m/s

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