BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A crate of mass 45.0 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the truck’s flatbed is 0.350, and the coefficient of kinetic friction is 0.320. (a) The truck accelerates forward on level ground. What is the maximum acceleration the truck can have so that the crate does not slide relative to the truck’s flatbed? (b) The truck barely exceeds this acceleration and then moves with constant acceleration, with the crate sliding along its bed. What is the acceleration of the crate relative to the ground?

(a)

To determine
The maximum acceleration of the truck.

Explanation

Given Info: Mass of the crate is 45 kg. The co-efficient of static and kinetic friction are μs=0.350 and μk=0.320 respectively.

The free body diagram is given below.

In the above diagram,

F=(Fs)maxN=mg (I)

  • Fs is the force of static friction.
  • N is the normal force.
  • g is the acceleration due to gravity.
  • F is the horizontal force.
  • mt is the total mass.

From Newton’s second law,

F=ma (II)

The force of static friction is,

Fs=μsN (III)

Substitute Equations (II) and (III) in (I).

ma=μsN

On Re-arranging,

a=μsNm

Substitute mg for N to get a

(b)

To determine
The acceleration of the crate relative to the ground.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

"Red flags" that can help to identify nutrition quackery include a. enticingly quick and simple answers to comp...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the difference between artificial selection and natural selection?

Biology: The Dynamic Science (MindTap Course List)

What is a metabolic pathway?

Chemistry for Today: General, Organic, and Biochemistry

The polar coordinates of a point are r = 5.50 in and = 240. What are the Cartesian coordinates of this point?

Physics for Scientists and Engineers, Technology Update (No access codes included)