A 2-kg car initially moving at 6 m/s at a height of 4 m encounters a hill of height 5 m, as shown in Figure. At a later point there is a horizontal spring (with a spring constant k=150 N/m) at a height of 2 m. (a) Does the car reach the spring? (Hint: Compare the initial total mechanical energy of the car with its potential energy at hill of height 5 m) (b) If so, what is the maximum compression in the spring? Ignore frictional losses and the rotational energy of the wheels. g=9.8 m/s2

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.86P: Determine the volume of the concrete arch dam.
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A 2-kg car initially moving at 6 m/s at a height of 4 m encounters a hill of height 5 m, as shown in Figure. At a later point there is a horizontal spring (with a spring constant k=150 N/m) at a height of 2 m. (a) Does the car reach the spring? (Hint: Compare the initial total mechanical energy of the car with its potential energy at hill of height 5 m) (b) If so, what is the maximum compression in the spring? Ignore frictional losses and the rotational energy of the wheels.
g=9.8 m/s2

5 m
2 m
4 m
Transcribed Image Text:5 m 2 m 4 m
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