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

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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 questions below involves the white dog food
can at the bottom of the slope that is hit by the red dog food can.
NOW ANSWER THE QUESTION BELOW USING THE GIVEN INFORMATION:
A. Energy Calculation: Calculate the amount of energy that is converted from one form to another,
using the changes in mass and height. For example, if appropriate for Step 2, you could calculate
the transformation of potential energy to kinetic energy.
Transcribed Image Text: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 questions below involves the white dog food can at the bottom of the slope that is hit by the red dog food can. NOW ANSWER THE QUESTION BELOW USING THE GIVEN INFORMATION: A. Energy Calculation: Calculate the amount of energy that is converted from one form to another, using the changes in mass and height. For example, if appropriate for Step 2, you could calculate the transformation of potential energy to kinetic energy.
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