A race car starts from rest at point A on a flat, circular track. The driver pre

Question

A race car starts from rest at point A on a flat, circular track. The driver presses on the gas pedal such that the speed of the car increases at a constant rate of 7 MPH per second. The coefficient of static friction is 0.80 .

What is the distance along the track that the car has traveled when it begins to slide?
(include units with answer)

A race car starts from rest at point A on a flat, circular track. The driver presses on the gas pedal such that the speed of the car increases at a constant rate of 7 MPH per second. The coefficient of static friction is 0.80 . What is the distance along the track that the car has traveled when it begins to slide? (include units with answer)

Explanation / Answer

Tangential acc. a_t = 7 MPH per sec = 7 x 1609 /3600 = 3.13 m/s2

R = 580 x 0.3048 m = 176.78 m

and centripetal force = friction force

mv^2 / R = u.mg

v = sqrt(0.80 x 9,81 x 176.78) = 37.25 m/s .....This is the max. speed it can before sliding

so using v^2 - u^2 = 2ad

37.25^2 - 0 = 2 x 3.13 x d

d = 221.62 m

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