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4 years ago

7

A 12kg turtle rests on the bed of a zookeeper's truck, which is traveling down a country road at 55mi/h. The zookeeper spots a d

eer in the road, and slows to a stop in 12s. Assuming constant acceleration, what is the minimum coefficient of static friction between the turtle and truck bed surface that is needed to prevent the turtle from sliding?

1 answer:

gulaghasi [49]4 years ago

3 0

Answer:0.21

Explanation:

Given

mass of turtle $m=12 kg$

velocity of Truck $v=55 mi/h\approx 24.58 m/s$

time taken to stop $t=12 s$

using $v=u+at$

where v=final velocity

u=initial velocity

a=acceleration

t=time

$0=24.58+a\cdot 12$

$a=-\frac{24.58}{12}$

$a=-2.04 m/s^2$

therefore 2.04 is the deceleration experienced by turtle which is countered by frictional force

$a=\mu g$ ,where $\mu =$ coefficient of friction

$2.04=\mu \times 9.8$

$\mu =0.209\approx 0.21$

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