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 theta = 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.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 41P: Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and...
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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 theta = 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. 

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