Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q1P (page 84)

The position vector for an electron is r→=(5.0m)i^-(3.0m)j^+(2.0m)k^.

(a) Find the magnitude ofr. (b) Sketch the vector on a right-handed coordinate system.

Short Answer

Expert verified

(a) The magnitude of vector ris 6.2 m.

(b) The vector is drawn on a right handed coordinate system.

Step by step solution

01

Given data

The position vector for an electron,r→=(5.0m)i^-(3.0m)j^+(2.0m)k^

02

Understanding the vector magnitude

A vector is a geometrical object with both magnitude and direction. The magnitude is the length of the vector.

The expression for the magnitude of a vector ris given as:

… (i)

Here,x, y and z are the components of vectors in X, Y and Z-directions.

03

(a) Determination of the magnitude of vector r→

Using equation (i), the magnitude can be calculated as:

Thus, the magnitude of vectorr is6.2m.

04

(b) To draw the vector diagram

The figure below shows the position vector for the electron.

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)If an electron is projected horizontally with a speed of 3.0×106m/s, how far will it fall in traversing1.0mof horizontal distance?

(b)Does the answer increase or decrease if the initial speed is increased?

At one instant a bicyclist is 40.0mdue east of a park’s flagpole, going due south with a speed of10.0m/s. Then40.0slater, the cyclist is40.0mdue north of the flagpole, going due east with a speed of10.0m/s.For the cyclist in this30.0sinterval, what are the(a)magnitude and (b) direction of the displacement, the (c) magnitude and (d) direction of the average velocity and the (e) magnitude and (f) direction of the average acceleration?

A particle moves so that its position (in meters) as a function of time (in seconds) is r⇀=i^+4t2j^+tk^. Write expressions for: (a) its velocity and (b) its acceleration as functions of time.

Two seconds after being projected from ground level, a projectile is displaced40mhorizontally and 53mvertically above its launch point. What are the (a) horizontal and (b) vertical components of the initial velocity of the projectile? (c)At the instant the projectile achieves its maximum height above ground level, how far is it displaced horizontally from the launch point?

A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in Figure, wheret=0at the instant the ball is struck. The scaling on the vertical axis is set byva=19m/sandvb=31m/s. (a) How far does the golf ball travel horizontally before returning to ground level? (b) What is the maximum height above ground level attained by the ball?
See all solutions

Recommended explanations on Physics Textbooks

Thermodynamics

Read Explanation

Kinematics Physics

Read Explanation

Force

Read Explanation

Nuclear Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Oscillations

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