Book edition 7th

Author(s) Douglas C. Giancoli

Pages 978 pages

ISBN 978-0321625922

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Short Answer

One car travels due east at $40 km / h$ , and a second car travels north at $40 km / h$ . Are their velocities equal? Explain.

No, their velocities are not the same because both cars have different directions.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Definition of velocity

Velocity is a vector quantity having both magnitude and direction. It is defined as the rate of change of displacement of an object with time.

Step 2. Identification of the given data

The first car travels eastward at $40 km / h$ . The second car moves along the north direction at $40 km / h$ .

You can write the velocities of the cars as ${\vec{v}}_{1} = (40 \hat{j}) km / h$ and ${\vec{v}}_{2} = (40 \hat{i}) km / h$ .

Step 3. Comparison of the velocities

Here, both cars have the same magnitude of velocities, i.e., $40 km / h$ . However, their directions are not the same; one is moving along the east and the other toward the north. If two vectors have different directions, they are said to be unequal.

Thus, the velocities of these cars are not equal.

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Physics Principles with Applications

Answers without the blur.

Short Answer

One car travels due east at $40 km / h$ , and a second car travels north at $40 km / h$ . Are their velocities equal? Explain.

Step by Step Solution

Step 1. Definition of velocity

Step 2. Identification of the given data

Step 3. Comparison of the velocities

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Physics Principles with Applications

Answers without the blur.

Short Answer

One car travels due east at 40 km/h, and a second car travels north at 40 km/h. Are their velocities equal? Explain.

Step by Step Solution

Step 1. Definition of velocity

Step 2. Identification of the given data

Step 3. Comparison of the velocities

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One car travels due east at $40 km / h$ , and a second car travels north at $40 km / h$ . Are their velocities equal? Explain.