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. 4 m 5 m 2 m

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