In the figure below, a runaway truck with failed brakes is moving downgrade at 36 m/s just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 15°. The truck's mass is 1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if the truck is to stop at the top of the ramp at height h? (b) Does the minimum length L increase, decrease, or remain the same if the truck's mass is decreased? Why? (c) If its speed is decreased? Why? Hint: Use Energy Principles.I

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Chapter1: Units, Trigonometry. And Vectors
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Part a, part b, and part c. Show all work. Include sketch/labels 

4. In the figure below, a runaway truck with failed brakes is moving
downgrade at 36 m/s just before the driver steers the truck up a frictionless
emergency escape ramp with an inclination of 0 = 15°. The truck's mass is
1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if
the truck is to stop at the top of the ramp at height h? (b) Does the minimum
length L increase, decrease, or remain the same if the truck's mass is
decreased? Why? (c) If its speed is decreased? Why? Hint: Use Energy
Principles.
Sketch and Label
L
Transcribed Image Text:4. In the figure below, a runaway truck with failed brakes is moving downgrade at 36 m/s just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 15°. The truck's mass is 1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if the truck is to stop at the top of the ramp at height h? (b) Does the minimum length L increase, decrease, or remain the same if the truck's mass is decreased? Why? (c) If its speed is decreased? Why? Hint: Use Energy Principles. Sketch and Label L
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(d) What is the the velocity of the truck when it's at ¾ the length of the ramp? 

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