1. A cart moves with negligible friction or air resistance along a roller coaster track. The cart starts from rest at the top of a hill of unknown height. It then goes down that first hill and up another circularly shaped hill of height 10 meters and radius 15 meters. The ride is designed so that the cart just barely loses contact with the track at the top of the second hill (10 meters above ground level). What is the height of the starting hill relative to ground? H=? h = 10 m R = 15 m

1. A cart moves with negligible friction or air resistance along a roller coaster track. The cart starts from rest at the top of a hill of unknown height. It then goes down that first hill and up another circularly shaped hill of height 10 meters and radius 15 meters. The ride is designed so that the cart just barely loses contact with the track at the top of the second hill (10 meters above ground level). What is the height of the starting hill relative to ground? H=? h = 10 m R = 15 m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as...

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A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
4. 1 2. Three ants, A, B, and C, travel along the paths shown in the Figure. All uhe ants start at 1 and finish at 2. A. Arrange the distance travelled by A, B, and C from highest to lowest. B. Arrange the magnitude of the displacement of A, B, and C from highest to lowest. 65 A 1. A truck moves 20.0 km north, then 30.0 km in the direction 30° east of ng then 40.0 km west. Determine the following: A. Total distance traveled by the truck B. Displacement vector of the truck
3. a. Since we use friction to accelerate our cars around turrns, we can't take turns as fast in wet or snowy weather. What is the minimum radius turn you can make at a speed of 56.5 mph (25.2555 m/s) in dry weather with Us=0.75? Suppose the road is flat. 3.4361 Previous submissions: b. What is the minimum radius turn you can make at the same speed when it's snowing and us = 0.25? 10.3083 Previous submissions: m m incorrect incorrect
3. A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P6.3. The length of the arc ABC is 235 m, and the y V 35.0° C car completes the turn in 36.0 s. (a) What is thc В acceleration when the car A is at B located at an angle of 35.0°? Express your Figure P6.3 answer in terms of the unit vectors i and j. Determine (b) the car's average speed and (c) its average acceleration during the 36.0-s interval.
A car driving around a circular track has a centripetal acceleration of 91 m/s291 m/s2 until it hits a slick spot and slides straight off the track. If the radius of the track is 67 m,67 m, what is the car's speed ?v when it leaves the track?
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16. A plane is circling the airport with a speed of 145ms. The radius of the plane’s path is 1870m. How long does it take for the plane to complete 1 circle around the airport?t= s*Round your answer to the nearest thousandth if necessary.