Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 4, Problem 36P
To determine

The minimum coefficient of static friction exists between feet and the floor.

Expert Solution & Answer
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Answer to Problem 36P

Solution:

0.20

Explanation of Solution

Given:

The train is accelerating at a=0.20g .

Where, g is the acceleration due to gravity.

Formula used:

Frictional force F is obtained by:

  F=μN

Where, µ is the coefficient of friction and N is the normal reaction force.

The normal force would be equal to the weight of the person.

  N=mgF=μmg

From Newton’s second law of motion.

  F=ma

Where, m is the mass and a is the acceleration.

Calculation:

The minimum frictional force would equal to the force acting on the person as he stands on the moving train.

  µmg=ma

The minimum coefficient of static friction is

  µ=ag

  µ=0.20gg

  µ=0.20

Conclusion:

Thus, the minimum coefficient of friction is 0.20.

Chapter 4 Solutions

Physics: Principles with Applications

Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - A block is given a brief push so that it slides up...Ch. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - What force is needed to accelerate a sled (mass =...Ch. 4 - Prob. 2PCh. 4 - How much tension must a rope withstand if it is...Ch. 4 - According to a simplified model of a mammalian...Ch. 4 - Superman must stop a 120-km/h train in 150 m to...Ch. 4 - A person has a reasonable chance of surviving an...Ch. 4 - What average force is required to stop a 950-kg...Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - A box weighing 77.0 N rests on a table. A rope...Ch. 4 - Figure 4-46 Problem 21. 21. (I) Draw the free-body...Ch. 4 - Prob. 21PCh. 4 - Arlene is to walk across a “high wire" strung...Ch. 4 - A window washer pulls herself upward using the...Ch. 4 - One 3.2-kg paint bucket is hanging by a massless...Ch. 4 - Prob. 25PCh. 4 - A train locomotive is pulling two cars of the same...Ch. 4 - Prob. 27PCh. 4 - A 27-kg chandelier hangs from a ceiling on a...Ch. 4 - Prob. 29PCh. 4 - Figure 4-53 [shows a block (mass mA) on a smooth...Ch. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - 35. (Ill) Suppose the pulley in Fig. 4-55 is...Ch. 4 - Prob. 34PCh. 4 - A force of 35.0 N is required to start a 6.0-kg...Ch. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - A box is given a push so that it slides across the...Ch. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - 46. (II) For the system of Fig. 4-32 (Example...Ch. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - A person pushes a 14.0-kg lawn mower at constant...Ch. 4 - Prob. 49PCh. 4 - (a) A box sits at rest on a rough 33° inclined...Ch. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - A 25.0-kg box is released on a 27° incline and...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - The crate shown in Fig. 4-60 lies on a plane...Ch. 4 - A crate is given an initial speed of 3.0 m/s up...Ch. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - The coefficient of kinetic friction for a 22-kg...Ch. 4 - On an icy day, you worry about parking your car in...Ch. 4 - Two masses mA= 2.0 kg and mB= 5.0 kg are on...Ch. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66GPCh. 4 - Prob. 67GPCh. 4 - Prob. 68GPCh. 4 - Prob. 69GPCh. 4 - Prob. 70GPCh. 4 - Prob. 71GPCh. 4 - Prob. 72GPCh. 4 - Prob. 73GPCh. 4 - Prob. 74GPCh. 4 - Prob. 75GPCh. 4 - Prob. 76GPCh. 4 - Prob. 77GPCh. 4 - Prob. 78GPCh. 4 - Prob. 79GPCh. 4 - Prob. 80GPCh. 4 - Prob. 81GPCh. 4 - Prob. 82GPCh. 4 - Prob. 83GPCh. 4 - Prob. 84GPCh. 4 - Prob. 85GPCh. 4 - Prob. 86GPCh. 4 - Prob. 87GPCh. 4 - Prob. 88GPCh. 4 - Prob. 89GP
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