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Ron is speeding down a steep mountain pass out of Butte, going 30 m/s (about 67

ID: 1412908 • Letter: R

Question

Ron is speeding down a steep mountain pass out of Butte, going 30 m/s (about 67 mi/hr). He suddenly sees an elk on the road ahead and slams on his breaks, locking all the wheels while the car slides to a stop. The mass of the car (with Ron in it) is 1000 kg. The coefficient of kinetic friction between the tires and the road is 0.8. The road makes an angle of 20 degrees with the horizontal

A. What is the weight of the car in newtons? (including Ron)

B. Find the total friction force acting on the car. (you may treat the car as if it is a block sliding down a ramp, don't treat the four wheels separately)

C. Find the acceleration (magnitude and direction) of the car after the wheels lock.

D.How far will the car slide before it comes to a stop?

Explanation / Answer

A) 1000/0.454 = 2202.64 N
W=mg
W/g=m
2202.64/9.81=m
mass is 224.53 lb

C) Force = ma

a (acceleration) = F/m

= 30/2202.64

= 0.0136 m/s^2

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