Please solve this question as soon as possible, thank you. [Q 4] (a) The equation of a hill path is given by:Y = -0.001 x + 0.2 xA small vehicle of mass 80 Kg starts from rest at the bottom of hill (point (0,0))and accelerated toward the top of hill. Find maximum allowable acceleration tokeep the vehicle in contact with the surface when reaching top of hill.

Answered: [Q 4] (a) The equation of a hill path…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Please solve this question as soon as possible, thank you.

[Q 4] (a) The equation of a hill path is given by:
Y = -0.001 x + 0.2 x
A small vehicle of mass 80 Kg starts from rest at the bottom of hill (point (0,0))
and accelerated toward the top of hill. Find maximum allowable acceleration to
keep the vehicle in contact with the surface when reaching top of hill.

Expert Solution

Step 1

The frictional force acts in the direction of relative motion. As the car moves uphill, the frictional force acts towards the top of the hill as the motion of the tire is in the opposite direction. The limiting value of Normal friction prevents the car from escaping the surface of the Hill. By determining the slope and the normal force, the maximum allowed acceleration can be determined.