'Modeling Workshop Project 2002 1 Unit VIII ws1 v2.0
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Date Pd
Unit VIII: Worksheet 1
Assume that the car shown below is going at a constant speed
1. Construct a qualitative motion map of the car in
Figure 1.
Fig 1
2. In what direction is the car experiencing an acceleration? Explain how you know.
3. Construct a qualitative force diagram for the car when it’s at the top of the hill. (Justify the
relative forces in your force diagram.)
4. Suppose the speed of the car is 11.1 m/s (¯ 25 mph), its mass is 1200 kg and the radius of
curvature (r) is 25 m; determine the magnitude of the centripetal force acting on the car.
5. Now, construct a quantitative force diagram for the car.
6. What is the acceleration (magnitude and direction) of the car?
7. How fast would the car be traveling if the normal force were reduced to zero?
8. Suppose the car were going faster than the speed that you calculated for question 7; describe
what would happen to the car.
