a) A car goes over a hill which has a circular profile with radius 200m. The car

Question

a) A car goes over a hill which has a circular profile with radius 200m. The car goes at a steady speed of 20m/s. The driver is, of course, sitting on a scale. The scale normally reads 160 pounds when the driver sits on it at rest. (Conversion: 160 pounds is 712 N; 1 pound is 4.45N). What does the scale read just as the car goes over the top of the hill?

b) The same car goes the same speed through a circular valley whose profile has radius 200m. What does the scale read at the bottom of the valley?

Explanation / Answer

the mass of the driver m = 712N/9.8 = 72.65kg When the car at the top N = mg + mv^2/r = 712 + (72.65)(20)^2 / 200 = 857.3 N When the car goes the valley and at the bottom N = mg - mv^2/r = 712 - (72.65)(20^2)/200 = 712 -145.3 = 566.7N

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