Solved: Three cars are driving at 25 m/s along the road

Chapter 8, Problem 8.57

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QUESTION:

Three cars are driving at 25 m/s along the road shown in FIGURE EX8.30. Car B is at the bottom of a hill and car C is at the top. Both hills have a 200 m radius of curvature. Suppose each car suddenly brakes hard and starts to skid. What is the tangential acceleration (i.e., the acceleration parallel to the road) of each car? Assume mk = 1.0.

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QUESTION:

Three cars are driving at 25 m/s along the road shown in FIGURE EX8.30. Car B is at the bottom of a hill and car C is at the top. Both hills have a 200 m radius of curvature. Suppose each car suddenly brakes hard and starts to skid. What is the tangential acceleration (i.e., the acceleration parallel to the road) of each car? Assume mk = 1.0.

ANSWER:

Step 1 of 9 

The free body diagram of the car A can be shown as,

                                                           

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