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Solved: A 350-kg roller coaster car starts from rest at
Chapter 7, Problem 45P(choose chapter or problem)
A 350-kg roller coaster starts from rest at point A and slides down the frictionless loop-the-loop shown in Fig. P7.45. (a) How fast is this roller coaster moving at point B? (b) How hard does it press against the track at point B?
Equation Transcription:
Text Transcription:
25.0 m
3.00 m
4.00 m
12.0 m
Questions & Answers
QUESTION:
A 350-kg roller coaster starts from rest at point A and slides down the frictionless loop-the-loop shown in Fig. P7.45. (a) How fast is this roller coaster moving at point B? (b) How hard does it press against the track at point B?
Equation Transcription:
Text Transcription:
25.0 m
3.00 m
4.00 m
12.0 m
ANSWER:
Solution 45P
Step 1:
Provided that, the loop is frictionless. So, there will not be any loss is energy due to frictional force.
Initially, the roller coaster car will possess only kinetic energy, since it is at rest. We can represent it as UA
Therefore, UA = mgh
Where, m - mass of the roller coaster car
g - Acceleration due to gravity
h - initial height of the roller coaster car from the ground
Provided, m = 350 kg, g = 9.8 m/s2 and h = 25.0 m
Therefore, UA = 350 kg × 9.8 m/s2 × 25 m = 85750 J
Similarly, the potential energy at point B is, UB = mgh’
Where, h’ - Height of point B from the ground
UA = 350 kg × 9.8 m/s2 × 12 m = 41160 J