Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

An athlete crosses a -m-wide river by swimming perpendicular to the water current at a speed of m/s relative to the water. He reaches the opposite side at a distance m downstream from his starting point. How fast is the water in the river flowing with respect to the ground? What is the speed of the swimmer with respect to a friend at rest on the ground?

The total time taken to cross the river is $50$ s. The velocity of the water will be $0.8$ m/s. The velocity of the swimmer w.r.t his friend at rest on the ground is $9.8$ m/s.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of velocity

Velocity is the rate of change in position of an item in motion as seen from a specific frame of reference and measured by a specific time standard.

The velocity of the swimmer relative to the water is V_sw= $0.5$ m/s.

He is swimming at a velocity perpendicular to the current. We know the distance covered by him in the positive direction

Step 2: Time is taken by the swimmer

The time is taken by him to cross the river:

$\begin{array}{rcl} V & = & \frac{d}{t} \\ 0.5 & = & \frac{25}{t} \\ t & = & 50 s \end{array}$

The total time taken to cross the river is $50$ s.

Step 3: Velocity of the water with respect to earth

The velocity of the water w.r.t earth:

$\begin{array}{rcl} V_{w e} & = & \frac{d}{t} \\ = & \frac{40}{50} \\ = & 0.8 \frac{m}{s} \end{array}$

The velocity of the water will be $0.8$ m/s

Step 4: Velocity of the swimmer w.r.t friend at rest on the ground

The velocity will be calculated by the following equation:

$\begin{array}{rcl} t & = & 50 s \\ D & = & \sqrt{25^{2} + 40^{2}} \\ D & = & 47.2 m \end{array}$

Using the above equation, we can calculate the speed:

$\begin{array}{rcl} V & = & \frac{d}{t} \\ = & \frac{47.2}{50} \\ = & 0.94 \frac{m}{s} \end{array}$

The velocity of the swimmer w.r.t his friend at rest on the ground is $0.94$ m/s.

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of velocity

Step 2: Time is taken by the swimmer

Step 3: Velocity of the water with respect to earth

Step 4: Velocity of the swimmer w.r.t friend at rest on the ground

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College Physics (Urone)

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Definition of velocity

Step 2: Time is taken by the swimmer

Step 3: Velocity of the water with respect to earth

Step 4: Velocity of the swimmer w.r.t friend at rest on the ground

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