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 → 9-14° Travelling Distance by the object 11.5 inch - 0.292 m And length that the object will travel - h/sin-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-mgsinė 0.368 × 9.81 × sin14° -0.89 N

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 → 9-14° Travelling Distance by the object 11.5 inch - 0.292 m And length that the object will travel - h/sin-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-mgsinė 0.368 × 9.81 × sin14° -0.89 N

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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