**Problem: Stopping Distance of Vehicles**A 1000 kg car and a 2000 kg truck are both driving at the same speed. They both have tires with the same coefficient of friction. Which of the following statements about their minimum stopping distances is true?- The truck can stop quicker than the car because it has more mass, and therefore more friction.- They have the same stopping distance, because their acceleration is independent of their mass.- It is impossible to know which can stop quicker without knowing their speed.- The car can stop quicker than the truck because it has less mass, and therefore less inertia.**Explanation:**When considering stopping distances and coefficients of friction, the key point is that the stopping distance is primarily determined by the frictional force, which depends on the normal force (equal to the weight of the vehicle) and the coefficient of friction. Because both vehicles have the same coefficient of friction, and frictional force is proportional to the normal force, which is equal to the weight (mass times gravitational acceleration), the mass cancels out when calculating the stopping distance. Thus, their masses do not affect their stopping distances in this context. The correct statement is:- *They have the same stopping distance, because their acceleration is independent of their mass.*

Force acting on a moving body in case of friction is present is given as, F=ma-f=ma-μmg=maa=-μg

A 1000 kg car and a 2000 kg truck are both driving at the same speed. The both have tires with the same coefficient of friction. Which of the following statements about their minimum stopping distances is true?

A 1000 kg car and a 2000 kg truck are both driving at the same speed. The both have tires with the same coefficient of friction. Which of the following statements about their minimum stopping distances is true?

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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