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Physics For Scientists & Engineers
Found in: Page 71
Physics For Scientists & Engineers

Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

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Short Answer

Is it possible to add a vector quantity to a scalar quantity? Explain.

No, it is not possible to add a vector quantity to a scalar quantity.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Define the vector and scalar quanitity.

Vector quantities are physical quantities for which both magnitude and direction are clearly defined.

Scalar quantities are physical quantities that have only one magnitude. It can be adequately described by a numerical value or a magnitude. There are no directions for a scalar quantity.

Step 2: Reason why we can not add vector and scalar quantity

A vector quantity has both magnitude as well as direction but scalar quantity has only magnitude. So a quantity having only magnitude can be added with scalar quantity like speed, mass, distance etc.

Example;

Try combining the velocity and speed. 8.0 m/s+[(15.0 m/s)North ]. .

No we cannot add a vector quantity to a scalar quantity.

Most popular questions for Physics Textbooks

Use the component method to add the A→ vectors and B→ shown in Figure P3.11. Both vectors have magnitudes of 3.00m and vector A→ makes an angle of with the x axis. Express the resultant A→+B→ in unit-vector notation.

Vector A→ lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant?

(a) the first quadrant

(b) the second quadrant

(c) the third quadrant

(d) the fourth quadrant

(e) the second or fourth quadrants.

Let A→=60.0 cm at 270°measured from the horizontal. Let data-custom-editor="chemistry" B→=80.0 cm at some angle θ.

(a)Find the magnitude of A→+B→ as a function of .

(b) From the answer to part (a), for what value of θ does data-custom-editor="chemistry" |A→+B→| take on its maximum value? What is this maximum value?

(c) From the answer to part (a), for what value of θ does |A→+B→| take on its minimum value? What is this minimum value?

(d) Without reference to the answer to part (a), argue that the answers to each of parts (b) and (c) do or do not make sense.

As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 60.0o north of west with a speed of 41.0 km/h.a)what is the unit vector expression for the velocity of the hurricane?It maintains this velocity for 3.00 h, at which time the course of the hurricane suddenly shifts due north , and its speed slows to constant 25.0 km/h . This new velocity is maintained for 1.50 h.b)What is the unit vector expression for the new velocity of the hurricane?c)What is the unit vector expression for the displacement of the hurricane during the first 3.00 h?d)What is the unit vector expression for the displacement of the hurricane during the letter 1.50 h?

How far from Grand Bahama is the eye 4.50 h after it passes over the land?

The instantaneous position of an object is specified by its position vector leading from a fixed origin to the location of the object, modeled as a particle. Suppose for a certain object the position vector is a function of time given by r→=4i^+3j^-2tk^ , where r→ is in meters and is t in seconds. (a) Evaluate role="math" localid="1663653936011" dr→/dt . (b) What physical quantity does dr→/dt represent about the object?
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