@tte ONte@t 46 60 m 46 46 Figure 2: This is a true story. The events described i

Question

@tte ONte@t 46 60 m 46 46 Figure 2: This is a true story. The events described in this question took place in a suburb of Melbourne on a Saturday morning in September 2016 after some rain (coefficient of static friction between the tyre and the road is given by 0.6) A ute was navigating through a roundabout of radius 60m. The driver was in a rush and stepped on the accelerator pedal too hard, causing the ute to spin out (lost its grip on the road). Luckily, the cars around it were able to avoid the out-of-control ute and no one was hurt Assuming that the ute was travelling at 40 km h-1, what was the minimum longitudinal (in direction of travel) acceleration that caused the ute to spin out?

Explanation / Answer

acceleration ac in the uniform circular motion is given by

ac = v2/r

v=40 km/h = 40 * 1000m / 3600 s = 11.11 m/s

r = 60 m

ac = 11.112 / 60 = 2.05 m/s2

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