a) What is the minimum height required for the ride to come to a stop safely? b) What is the power generated by the braking system of the ride?

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As a freshly graduated student from WCCI, you are aiming to become a safety engineer for Bolliger and Mabillard (B&M)
so that you can help create rollercoasters for Canada's Wonderland. For many roller coasters, it is important that the
rides do not come to a complete stop abruptly at the end of a ride (or else bones will break!).
The final section of the rollercoaster has the cart (1.5 tons) starting at the final peak with a height of 140 metres (assume
the cart starts at rest). The final section (3-4) of the ride is designed to come to a stop using a material with a coefficient
of friction of 0.668. The final section is completely flat and is 393.7 feet long. The minimum time required for a ride to
come to a stop safely is 6 seconds.
a) What is the minimum height required for the ride to come to a stop safely?
b) What is the power generated by the braking system of the ride?
A: Pictorial Representation
Sketch-showing events, coordinate system, label givens & unknowns, conversions, describe events
Figure 1:
140 m
<-393.7 feet
95 m
C
D
B: Physics Representation
Energy flow diagram and work- energy bar chart for events, Force diagram for final section
Hot
0
Final Section
C: Word Representation
Use energy, dynamics, and kinematics to explain the motion of the cart. State any assumptions.
Transcribed Image Text:As a freshly graduated student from WCCI, you are aiming to become a safety engineer for Bolliger and Mabillard (B&M) so that you can help create rollercoasters for Canada's Wonderland. For many roller coasters, it is important that the rides do not come to a complete stop abruptly at the end of a ride (or else bones will break!). The final section of the rollercoaster has the cart (1.5 tons) starting at the final peak with a height of 140 metres (assume the cart starts at rest). The final section (3-4) of the ride is designed to come to a stop using a material with a coefficient of friction of 0.668. The final section is completely flat and is 393.7 feet long. The minimum time required for a ride to come to a stop safely is 6 seconds. a) What is the minimum height required for the ride to come to a stop safely? b) What is the power generated by the braking system of the ride? A: Pictorial Representation Sketch-showing events, coordinate system, label givens & unknowns, conversions, describe events Figure 1: 140 m <-393.7 feet 95 m C D B: Physics Representation Energy flow diagram and work- energy bar chart for events, Force diagram for final section Hot 0 Final Section C: Word Representation Use energy, dynamics, and kinematics to explain the motion of the cart. State any assumptions.
D: Mathematical Representation
Describe physics of steps, complete equations, algebraically isolate, substitutions with units, final statement f prediction
Transcribed Image Text:D: Mathematical Representation Describe physics of steps, complete equations, algebraically isolate, substitutions with units, final statement f prediction
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