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A 300 kg roller coaster car starts from rest at point A, at a height h above the bottom of the circular loop, and slides down a frictionless loop-the-loop (see figure). If the radius of the circular loop is R= 25.0m and the height h = 3.5R, calculate: (a) How fast is this roller coaster car moving at point B? (b) Find the force exerted by the track on the car at point B. (c) What is the velocity, the radial and tangential acceleration at point C (that corresponds to a horizontal diameter of the circular loop). Show these acceleration components in a diagram, approximately to scale.

A 300 kg roller coaster car starts from rest at point A, at a height h above the bottom of the circular loop, and slides down a frictionless loop-the-loop (see figure). If the radius of the circular loop is R= 25.0m and the height h = 3.5R, calculate: (a) How fast is this roller coaster car moving at point B? (b) Find the force exerted by the track on the car at point B. (c) What is the velocity, the radial and tangential acceleration at point C (that corresponds to a horizontal diameter of the circular loop). Show these acceleration components in a diagram, approximately to scale.

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A 300 kg roller coaster car starts from rest at point A, at a height h above the bottom of the circular loop, and slides down a frictionless loop-the-loop (see figure). If the radius of the circular loop is R = 25.0m and the height h = 3.5R, calculate: (a) How fast is this roller coaster car moving at point B? (b) Find the force exerted by the track on the car at point B. (c) What is the velocity, the radial and tangential acceleration at point C (that corresponds to a horizontal diameter of the circular loop). Show these acceleration components in a diagram, approximately to scale.
Transcribed Image Text:A 300 kg roller coaster car starts from rest at point A, at a height h above the bottom of the circular loop, and slides down a frictionless loop-the-loop (see figure). If the radius of the circular loop is R = 25.0m and the height h = 3.5R, calculate: (a) How fast is this roller coaster car moving at point B? (b) Find the force exerted by the track on the car at point B. (c) What is the velocity, the radial and tangential acceleration at point C (that corresponds to a horizontal diameter of the circular loop). Show these acceleration components in a diagram, approximately to scale.
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