19. Roller coaster engineer Ahmed's specialty is old-style wooden roller coaster, which have a considerable amount of friction. Because friction is an important factor in the roller coasters he designs and maintains, that friction must be taken into account. Which of the roller coaster designs shown would generate the largest amount of thermal energy as a roller coaster cart goes from the top of the hill to the bottom? a. Design X, which has the shortest track length. b. Design Y, which has a medium track length. c. Design Z, which has the longest track length. d. All three designs would result in the same amount of thermal energy by the time the cart reaches the bottom of the hill.

19. Roller coaster engineer Ahmed's specialty is old-style wooden roller coaster, which have a considerable amount of friction. Because friction is an important factor in the roller coasters he designs and maintains, that friction must be taken into account. Which of the roller coaster designs shown would generate the largest amount of thermal energy as a roller coaster cart goes from the top of the hill to the bottom? a. Design X, which has the shortest track length. b. Design Y, which has a medium track length. c. Design Z, which has the longest track length. d. All three designs would result in the same amount of thermal energy by the time the cart reaches the bottom of the hill.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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5) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object → m = 368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 0= 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel = h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object → R = 0.367 -0.292 = 0.075 m Initial Velocity of red can → u = 0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: →V=Roo= 0.075 x 14.28 = 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsine = 0.368 x 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the…
1) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object-m-368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 9 = 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel=h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object →R=0.367 -0.292 = 0.075 m Initial Velocity of red can → u=0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: →V=Ro= 0.075 x 14.28 = 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsin0 = 0.368 × 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the questions below…
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4) Calculations for the red dog food can rolling down the slope in the Rube Goldberg design are as follows (we will name it Step 1): Step 1 (calculations are given): Coefficient of friction → μ = 0.14 Mass of the object → m = 368 gm = 0.368kg Initial height of the object (red can on top of books) → h=8.89, cm = 0.0889 m Slope of the file folder → 0 = 14° Travelling Distance by the object = 11.5 inch = 0.292 m And length that the object will travel = h/sin 0 = 0.0889/ sin14° = 0.367 m So, the radius of the object → R=0.367 -0.292 = 0.075 m Initial Velocity of red can → u = 0 Velocity and Force Calculations for Step 1: -From total mechanical energy conservation: → Initial mechanical energy = final mechanical energy → mg - In case of pure rolling, the velocity of the center of mass: → V = Ro = 0.075 × 14.28 1.07 m/s. -Hence the change in force acting on the object for the travel: →F=mgsine = 0.368 × 9.81 × sin14° =0.89 N Step 2: The Selective Step (Step 2) in this design and for the…