Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q.29 (page 257)

In FIGUREEX10.28, what is the maximum speed a 200gparticle could have at x=2.0m.

It never reach x=6.0m?

Short Answer

Expert verified

Particle's maximum speed is6.32m/s.

Step by step solution

01

Speed : 

It is the change in an object's location with regard to time.

02

Explanation : 

Particle's mass m=200gm=0.2kg,

Formula to determine the kinetic energy of a particle ,

KE=12mv2

KE= kinetic energy,

m= particle's mass

v= particle's velocity.

Consider the graph of potential energy against distance,

The peak of the curve between x=2mandx=6m.

It occurs at x=4m.

Particle's kinetic energy at x=4mmust be 0.

It is if the particle is not allowed to reach at x=6m.

The potential energy difference of localid="1647865759613" x=4mandx=2mwould be the particle's maximum speed so that it can never reach at x=6m.

Potential energy difference,

KE=8-4=4J

Particle's maximum velocity,

KE=12mv24=12×0.2×v2v=6.32m/s

Hence, maximum speed of particle is6.32m/s.

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 particle that can move along the x-axis is part of a system with potential energy

Ux=Ax2-Bx

where A and B are positive constants.

a. Where are the particle’s equilibrium positions?

b. For each, is it a point of stable or unstable equilibrium?

Object Ais stationary while objects BandCare in motion. Forces from object Ado10Jof work on object Band–5Jof work on object C. Forces from the environment do 4Jof work on object Band8Jof work on object C. Objects BandCdo not interact. What are ∆Ktotand∆Uintif

(a) objects A,B,andCare defined as separate systems and

(b) one system is defined to include objects A,B,andCand their interactions?

A force does work on a 50gparticle as the particle moves along the following straight paths in the xy-plane: 25Jfrom (0m,0m)to (5m,0m); 35Jfrom (0m,0m)to(0m,5m); –5Jfrom (5m,0m)to (5m,5m); –15Jfrom (0m,5m)to (5m,5m); and 20Jfrom (0m,0m)to(5m,5m).

a. Is this a conservative force?

b. If the zero of potential energy is at the origin, what is the potential energy at (5m,5m)?

The spring in FIGURE CP10.73 has a spring constant of 1000N/m. It is compressed 15cm, then launches a 200gblock. The horizontal surface is frictionless, but the block’s coefficient of kinetic friction on the incline is 0.20. What distance d does the block sail through the air?

An object moving in the xy-plane is subjected to the force F→=(2xyı^+3yȷ^)N, where x and y are in m.

a. The particle moves from the origin to the point with coordinates (a,b)by moving first along the x-axis to (a,0), then parallel to the y-axis. How much work does the force do?

b. The particle moves from the origin to the point with coordinates (a,b)by moving first along the y-axis to (0,b), then parallel to the x-axis. How much work does the force do?

c. Is this a conservative force?
See all solutions

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Read Explanation

Electricity

Read Explanation

Electrostatics

Read Explanation

Scientific Method Physics

Read Explanation

Measurements

Read Explanation

Electric Charge Field and Potential

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