Roller Coaster Exercises

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Roller Coaster Exercises
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Conservation of Mechanical Energy
EA EB
PEA KEA PEB KEB
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Example 1
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Part 1

• A coaster car has a 500 kg car is traveling at 20
  m/s at point A.
• a) What is the cars KE?
• b) What is the cars PE?
• c) What is the total energy?

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Part 1a)
v 20 m/s
m 500 kg
KE ?
KE 100,000 J
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Part 1b)
h 15 m
m 500 kg
PE ?
PE 73,500 J
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Part 1c)
E PE KE
E 173,500 J
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Example 1
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Part 2

• At point B the coaster has risen to h 25 m.
• a) Find the PE.
• b) What is the KE?
• c) What is the cars velocity at point B.

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Part 2a)
h 25 m
m 500 kg
PE ?
PE 122,500 J
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Part 2 b) - c)
KE 51,000 J
m 500 kg
v 14.3 m/s
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Example 1
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Part 3

• At point C the coaster has Fallen 25 m.
• a) Find the PE.
• b) What is the cars KE?
• c) What is the cars velocity at point C?

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Part 3 a) - c)
PE 0 J
KE 173,500 J
v m/s
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Magic Mountain

• Old School Rides

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Colossus

• Mass of car People
• m 800 kg
• First hill
• h 35.1 m, v 0 m/s
• Second hill h 30.2 m

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Colossus

• Total energy at top of first hill.
• Velocity at bottom of first hill.
• Velocity at top of second hill.

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Revolution

• Mass of car people
• m 400 kg
• First hill
• h 21.9 m, v 0 m/s
• Top of loop
• h 16.2 m

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Revolution

• Total energy at top of first hill.
• Velocity at bottom of first hill.
• Velocity at top of the loop.

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FreeFall

• Mass of car people
• m 300 kg
• Top of the ride
• h 33.5 m, v 0 m/s
• bottom of the ride
• h 0 m

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FreeFall

• Total energy at the top of the ride.
• Velocity at the bottom of the ride.

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