The roller coaster is momentarily at rest at A. Determine the approximate normal force

Chapter 14, Problem C14-1

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QUESTION:

The roller coaster is momentarily at rest at A. Determine the approximate normal force it exerts on the track at B. Also determine its approximate acceleration at this point. Use numerical data, and take scaled measurements from the photo with a known height at A.

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QUESTION:

The roller coaster is momentarily at rest at A. Determine the approximate normal force it exerts on the track at B. Also determine its approximate acceleration at this point. Use numerical data, and take scaled measurements from the photo with a known height at A.

ANSWER:

Step 1 of 3

From the scaled measurements of the image;

The height of the track A from the ground, \(h_{A}=20 \mathrm{~mm}=20 \times 10^{-3} \mathrm{~m}\)

The height of the track B from the ground, \(h_{B}=15 \mathrm{~mm}=15 \times 10^{-3} \mathrm{~m}\)

The acceleration due to gravity, \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

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