3) 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 8-0.0889/ 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 questions below involves the white dog food can at the bottom of the slope that is hit by the red dog food can. A. Calculations: Calculate the transfer of energy and the momentum from Step 1 to Step 2, using the applicable equations you identified. Explain how these calculations help you predict the object's location and velocity from step 1 to the step 2.
3) 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 8-0.0889/ 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 questions below involves the white dog food can at the bottom of the slope that is hit by the red dog food can. A. Calculations: Calculate the transfer of energy and the momentum from Step 1 to Step 2, using the applicable equations you identified. Explain how these calculations help you predict the object's location and velocity from step 1 to the step 2.
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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Transcribed Image Text:3) 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):
DO
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 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 questions below involves the white dog food
can at the bottom of the slope that is hit by the red dog food can.
A. Calculations: Calculate the transfer of energy and the momentum from Step 1 to Step 2, using
the applicable equations you identified. Explain how these calculations help you predict the
object's location and velocity from step 1 to the step 2.
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