Chapter 1.7, Problem 26P

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1st Edition

Kevin D. Dahm + 1 other

ISBN: 9781111580704

Textbook Problem

The furlong is a unit of length, equal to one-eighth of a mile, which today is most commonly associated with horse racing. The fathom is a unit of length, equal to six feet, which is most commonly associated with measuring the depth of water.

**A.** The Kentucky Derby is a 10-furlong race. If a horse finishes in exactly two minutes, what is the horse’s average velocity in meters per second? In miles per hour?

**B.** A fishing supply store sells lines that are 20 fathoms long. How many meters is this?

**C.** A treasure chest weighs 100 lb_{m} and is raised to the surface from a depth of 500 fathoms. If gravity is the only force opposing the motion, how much work was required, in Joules?

**(A)**

Interpretation Introduction

**Interpretation:**

The horse’s average velocity is to be determined in meters per second and miles per hour.

**Concept Introduction:**

The average velocity of horse’s in meters per second.

Here, distance is *d* and time is *t*.

Explanation

**Given information:**

Distance

Time

Write the expression to calculate the average velocity of horseâ€™s in meters per second.

Substitute 10 furlong for *d* and 2 min for *t* in Equation (1).

**(B)**

Interpretation Introduction

**Interpretation:**

To determine the length of the fishing line in meters.

**Concept Introduction:**

One fathom is equal to 6 feet.

**(C)**

Interpretation Introduction

**Interpretation:**

To determine the work required in Joules.

**Concept Introduction:**

The work is equal to the multiplication of force and distance.

Here, mass is *M*, force is *F*, and distance is *d*.

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