Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q.52 (page 229)

The force acting on a particle is Fx=F0e-x/L . How much work does this force do as the particle moves along the x-axis from x=0 to x=L?

Short Answer

Expert verified

The work done on the particle as it moves fromx=0tox=LisF0L(1-1e).

Step by step solution

01

Content Introduction

The work done by the force Fxon the particle if the movement of particle is in same direction as of the force can be expressed as:

W=∫xixfFxdx

Here, Fxis the force and dxis the small displacement in the direction of the force.

02

Content Explanation

The work done on the particle as it moves from x=0tox=Lis shown as follow:

role="math" localid="1647794367778" W=∫0LFxdxW=∫0LF0e-x/LdxW=F0(-Le-x/L)L0 W=F0L(1-1e)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A farmer uses a tractor to pull a 150kg bale of hay up a 15° incline to the barn at a steady 5.0km/h. The coefficient of kinetic friction between the bale and the ramp is 0.45. What is the tractor’s power output?

A Porsche 944 Turbo has a rated engine power of 217 hp. 30% of the power is lost in the drive train, and 70%reaches the wheels. The total mass of the car and driver is 1480kg, and two-thirds of the weight is over the drive wheels.

a. What is the maximum acceleration of the Porsche on a concrete surface where μs=1.00? Hint: What force pushes the car forward?

b. If the Porsche accelerates at amax, what is its speed when it reaches maximum power output?

c. How long does it take the Porsche to reach the maximum power output?

You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15o angle until its height has increased by h. Assume you will move the block at constant speed either way. Will you do more work in case a or case b? Or is the work the same in both cases? Explain.

A 2.0 kg book is lying on a 0.75-m-high table. You pick it up and place it on a bookshelf 2.25 m above the floor.
a. How much work does gravity do on the book?
b. How much work does your hand do on the book?

A spring of equilibrium length L1and spring constant k1 hangs from the ceiling. Mass m1 is suspended from its lower end. Then a second spring, with equilibrium length L2 and spring constant k2, is hung from the bottom of m1. Mass m2 is suspended from this second spring. How far is m2 below the ceiling?
See all solutions

Recommended explanations on Physics Textbooks

Engineering Physics

Read Explanation

Waves Physics

Read Explanation

Magnetism

Read Explanation

Oscillations

Read Explanation

Astrophysics

Read Explanation

Energy Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free