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154-wk-07c

# 154-wk-07c - HPHY 154 Workout 07c Applications of Newton's...

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HPHY 154 Workout 07c Applications of Newton’s Laws of Motion Prof. A. E. Bak Name 1. S&J Problem 6-9 (formerly S&B Problem 6-13). Consider a conical pendulum with an 80.0- kg bob on a 10.0- m wire making an angle of ! ! 5.00 ! with the vertical as shown in Figure P 6.9 (on page 172). a. Determine the horizontal and vertical components of the force exerted by the wire on the bob. b. Find the radial acceleration of the bob. 2. S&J Problem 6-19 (formerly S&B Problem 6-21). A roller-coaster car has a mass of 500 kg when fully loaded with passengers. See Figure P 6.19 on page 173. a. If the car has a speed of 20.0 m / s at point A , then what is the force exerted by the track on the car at that point? b. What is the maximum speed the car can have at point B and still remain on the track? 3. A circular curve of banked highway is designed for traffic moving at 60 km / h . That is, there is no static friction between tires and road at that speed. a. If the radius of the curve is 150 m , then what is the correct banking angle of the road? b. If the curve were not banked, then what would be the minimum coefficient of static friction between tires and road that would allow cars to negotiate the curve without sliding off the road? 4. S&J Problem 6-67 (formerly S&B Problem 6-66). A car rounds a banked curve as shown in Figure 6.6 (on page 155). The road’s radius of curvature is R , the banking angle is ! , and the relevant coefficient of static friction is " s . a. Determine the range of speeds the car can have without slipping up or down the banked surface. b. Find the value for " s for which the minimum safe speed is zero. c. What is the range of speeds possible for the slippery conditions of R ! 100 m , ! ! 10.0 ! , and " s ! 0.100?

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154-wk-07c - HPHY 154 Workout 07c Applications of Newton's...

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