A car maintains a constant speed v as it traverses the hill and valley shown in Fig

Chapter 5, Problem 82GP

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QUESTION:

A car maintains a constant speed \(v\) as it traverses the hill and valley shown in Fig. 5-45. Both the hill and valley have a radius of curvature \(R\). (a) How do the normal forces acting on the car at \(A\), \(B\), and \(C\) compare? (Which is largest? Smallest?) Explain. (b) Where would the drive feel heaviest? Lightest? Explain. (c) How fast can the car go without losing contact with the road at \(A\)

                     

                                                                 Figure 5-45

Equation Transcription:

Text Transcription:

v

R

A

B

C

Questions & Answers

QUESTION:

A car maintains a constant speed \(v\) as it traverses the hill and valley shown in Fig. 5-45. Both the hill and valley have a radius of curvature \(R\). (a) How do the normal forces acting on the car at \(A\), \(B\), and \(C\) compare? (Which is largest? Smallest?) Explain. (b) Where would the drive feel heaviest? Lightest? Explain. (c) How fast can the car go without losing contact with the road at \(A\)

                     

                                                                 Figure 5-45

Equation Transcription:

Text Transcription:

v

R

A

B

C

ANSWER:

Solution 82 GP

Step 1 of 5:

In this question, we need to compare normal forces acting on the car at points A,B, and C and specify from largest to smallest

In part b, we need to find at which point the driver would feel lightest and heaviest and explain

In part c, we need to find distance covered by car without losing constant with road

Data given

Radius of curvature

Acceleration at radius of curvature

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