Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5km, and that along Path 2 is 8.2km. What is the final displacement of each camper?

The displacement of both the campers is the same—5.0 Km. 40° north-east.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Displacement

Displacement is defined as the shortest path between an initial and final position. It is a vector quantity.

If $\overset{⇀}{r_{A}}$ and $\overset{⇀}{r_{B}}$ are the position vectors of initial and final points of a particle, then the displacement of the particle is ${\overset{⇀}{r}}_{A B} = {\overset{⇀}{r}}_{B} - {\overset{⇀}{r}}_{A}$

Step 2: Displacement of the campers

A displacement is defined as the change in the final and initial positions of a body. It does not depend on the path followed by a moving body; it simply depends on the final and initial positions of a body. The magnitude of displacement is given by the length of the straight line joining the initial and final positions of the moving body.

We see that both the campers start from the same point and finish their journey at the same position. Therefore, the displacement of both the campers is the same—5.0 Km. 40° north-east.

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College Physics (Urone)

Answers without the blur.

Short Answer

Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5km, and that along Path 2 is 8.2km. What is the final displacement of each camper?

Step by Step Solution

Step 1: Displacement

Step 2: Displacement of the campers

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A ball is kicked with an initial velocity of \(16\,m/s\) in the horizontal direction and \(12\,m/s\) in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c) What maximum height is attained by the ball?

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College Physics (Urone)

Answers without the blur.

Short Answer

Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5km, and that along Path 2 is 8.2km. What is the final displacement of each camper?

Step by Step Solution

Step 1: Displacement

Step 2: Displacement of the campers

Most popular questions for Physics Textbooks

A ball is kicked with an initial velocity of \(16\,m/s\) in the horizontal direction and \(12\,m/s\) in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c) What maximum height is attained by the ball?

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