By the side of a highway, a runaway truck ramp is built as a safety feature. The ramp rises at an angle of 24 degrees from the horizontal. A truck of mass 7,041 kg is moving at a speed of 37 m/s when the brakes fail. The driver turns off the engine and turns onto the runaway truck ramp. (a) If friction were negligible, how far will the truck travel (masured along the ramp) before coming to a stop? Number m (b) The ramp is designed to produce a strong frictional resistance. If the coefficient of rolling friction (similar to the coefficient of kinetic friction) is .456, how far will the truck travel up the ramp? Number

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 8P
icon
Related questions
Question
By the side of a highway, a runaway truck ramp is built as a safety feature. The ramp rises at an angle of 24 degrees from the horizontal.
A truck of mass 7,041 kg is moving at a speed of 37 m/s when the brakes fail. The driver turns off the engine and turns onto the runaway truck ramp.
(a) If friction were negligible, how far will the truck travel (mifasured along the ramp) before coming to a stop?
Number
m
(b) The ramp is designed to produce a strong frictional resistance. If the coefficient of rolling friction (similar to the coefficient of kinetic friction) is .456, how far
will the truck travel up the ramp?
Number
m
Hint for part (b): What is the initial energy of the truck? Draw a free body diagram as it moves up the ramp. What is the magnitude of the friction force?
Suppose the truck moves a distance D and stops. What would be the work on the truck by friction? What would be the potential energy of the truck when it
stops?
Transcribed Image Text:By the side of a highway, a runaway truck ramp is built as a safety feature. The ramp rises at an angle of 24 degrees from the horizontal. A truck of mass 7,041 kg is moving at a speed of 37 m/s when the brakes fail. The driver turns off the engine and turns onto the runaway truck ramp. (a) If friction were negligible, how far will the truck travel (mifasured along the ramp) before coming to a stop? Number m (b) The ramp is designed to produce a strong frictional resistance. If the coefficient of rolling friction (similar to the coefficient of kinetic friction) is .456, how far will the truck travel up the ramp? Number m Hint for part (b): What is the initial energy of the truck? Draw a free body diagram as it moves up the ramp. What is the magnitude of the friction force? Suppose the truck moves a distance D and stops. What would be the work on the truck by friction? What would be the potential energy of the truck when it stops?
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Third law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning