# HW4 - Niu(qn269 HW04 Tsoi(58020 This print-out should have...

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1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 oF 5) 10.0 points A car travels at a speed oF 22 m / s around a curve oF radius 31 m. The acceleration oF gravity is 9 . 8 m / s 2 . 2 . 9 Mg μ 30 What is the net centripetal Force needed to keep the car From skidding sideways? Answer in units oF N. 002 (part 2 oF 5) 10.0 points Were there no Friction between the car’s tires and the road, what centripetal Force could be provided just by the banking oF the road? Answer in units oF N. 003 (part 3 oF 5) 10.0 points Now suppose the Friction Force is su±cient to keep the car From skidding. Calculate the magnitude oF the normal Force exerted on the car by the road’s surFace. Hint: Check the correctness oF your answer to the frst question beFore proceeding with this and the Following questions. Answer in units oF N. 004 (part 4 oF 5) 10.0 points Calculate the magnitude oF the Friction Force. Answer in units oF N. 005 (part 5 oF 5) 10.0 points Calculate the lowest possible value oF the static Friction coe±cient μ s that would pre- vent the car From skidding. 006 10.0 points A 1 . 69 kg object is swung in a vertical circular path on a string 3 . 62 m long. The acceleration oF gravity is 9 . 8 m / s 2 . IF the speed at the top oF the circle is 6 . 7 m / s, what is the tension in the string when the object is at the top oF the circle? Answer in units oF N. 007 (part 1 oF 2) 10.0 points A small metal ball is suspended From the ceil- ing by a thread oF negligible mass. The ball is then set in motion in a horizontal circle so that the thread’s trajectory describes a cone. The acceleration oF gravity is 9 . 8 m / s 2 . v r g m θ What is the speed oF the ball when it is in circular motion? Answer in terms oF g , and θ . 1. v = r g ℓ cos θ 2. v = r g ℓ sin θ 3. v = r g ℓ sin θ 4. v = r g ℓ cos θ 5. v = r g ℓ tan θ 6. v = g ℓ sin θ 7. v = tan θ 8. v = g tan θ 9. v = r g ℓ

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HW4 - Niu(qn269 HW04 Tsoi(58020 This print-out should have...

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