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hauling alog in the back of a flatbed truck, you are pulled over by the state po

ID: 2289177 • Letter: H

Question

hauling alog in the back of a flatbed truck, you are pulled over by the state police. the can't roll sideways, the police that the log slid out the back of the truck when accelerating from rest. You that the truck couldn't possibly accelerate at the level needed to achieve such an effect. Regardless, the police write a ticket anyway and now your day in court is approaching. e log has a mass of m 874 kg: the truck has a mass of M-9150 kg. According the truck manufacturer, th ck can accelerate from 0 to log. Calculate the minimum coefficient of static friction needed to keep the log in the backtef the truck. Number According to the scientific literature, the coefficient of static friction between the log and the trailer bed should be roughly 0.840. Given this fact, answer the following. There is chance the log could have slid the back. The police officer is correct. The log posed a O The results are not conclusive.

Explanation / Answer

F=( ? s)N N=mg F=( ? s)(m)(g) ma=( ? s)(m)(g) the mass cancels out and thus a=( ? s)(g) a=(0.40)(32.2ft/s^2) a=12.88 ft/s^2 Converting the 45 mi/h gives us 66 ft/s, and using the acceleration found in the equation V^2=Vo^2+2a(X-Xo): 0=(66ft/s)^2+2(12.88 ft/s^2)(-X) gives us X=169.1 feet. This is the shortest distance for the truck to stop.

Since this is greater than the distance recorded by police so answer is B Police is correct