the test question i had the most trouble with was:
a car has a mass of 1500kg, and is traveling at 26.8 m/s at the top of an incline; the incline has a slope of 1/10 a) what is the Kinetic Energy? i did 1/2 m v^2 b) if the car coasts downhill, how fast is it going after it has descended 1000 meters? i tried: \(v^2=(v_o)^2+2a\Delta x\) and tried to determine the acceleration. c) What is the breaking force needed to maintain the initial velocity going down the hill? i considered: F = ma, using the acceleration from part b) d) at the bottom of the hill it goes around a curve at 29 m/s; the curve has a radius of 90 meters, and the tires have a coeff of kinetic friction of .98 Does the car slide, or does it stay on the curve? My idea was: Fk = uk m g , Fc = m ac, where ac=v^2/r
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