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HW6-solutions

HW6-solutions - seunsom(avs294 HW6 bohm(59970 This...

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seunsom (avs294) – HW6 – bohm – (59970) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A 13647 N car traveling at 56.9 km/h rounds a curve of radius 1 . 24 × 10 2 m. The acceleration of gravity is 9 . 81 m / s 2 . a) Find the centripetal acceleration of the car. Correct answer: 2 . 01464 m / s 2 . Explanation: Basic Concept: a c = v t 2 r Given: r = 1 . 24 × 10 2 m v t = 56 . 9 km / h Solution: a c = (56 . 9 km / h) 2 1 . 24 × 10 2 m · parenleftbigg 1000 m 1 km parenrightbigg 2 · parenleftbigg 1 h 3600 s parenrightbigg 2 = 2 . 01464 m / s 2 002 (part 2 of 3) 10.0 points b) Find the force that maintains circular mo- tion. Correct answer: 2802 . 63 N. Explanation: Basic Concepts: F c = ma c F g = mg Given: F g = 13647 N g = 9 . 81 m / s 2 Solution: F c = parenleftbigg F g g parenrightbigg a c = parenleftbigg 13647 N 9 . 81 m / s 2 parenrightbigg (2 . 01464 m / s 2 ) = 2802 . 63 N 003 (part 3 of 3) 10.0 points c) Find the minimum coefficient of static fric- tion between the tires and the road that will allow the car to round the curve safely. Correct answer: 0 . 205366. Explanation: Basic Concept: F c = F s = μ s F n = μ s F g Solution: μ s = F c F g = 2802 . 63 N 13647 N = 0 . 205366 004 10.0 points A(n) 0 . 42 kg object is swung in a vertical circular path on a string 0 . 76 m long.

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