/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 68 A creature moves at a speed of 5... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A creature moves at a speed of 5.00 furlongs per fortnight (not a very common unit of speed). Given that 1 furlong \(=220\) yards and 1 fortnight \(=14\) days, determine the speed of the creature in \(\mathrm{m} / \mathrm{s}\). What kind of creature do you think it might be?

Short Answer

Expert verified
The speed of the creature in meters per second is 0.00083 m/s. Given its slow speed, the creature could be a snail.

Step by step solution

01

Convert the given units to a common base

First, it is necessary to convert the given units to a common base. Convert yards to meters and days to seconds. Note that 1 yard = 0.9144 meters and 1 day = 86400 seconds.
02

Convert speed in furlongs per fortnight to yards per day

Given the speed of the creature as 5 furlongs per fortnight, this can be converted to yards per day using the conversion factors. So, \(5 \, \text{furlongs} / \text{fortnight} * 220 \, \text{yards} / \text{furlong} * 1 \, \text{fortnight} / 14 \, \text{days} = 78.57 \, \text{yards/day}\)
03

Convert speed in yards per day to meters per second

Using the conversion factors from step 1, convert the speed from yards per day to meters per second. So, \(78.57 \, \text{yards/day} * 0.9144 \, \text{meters} / \text{yard} * 1 \, \text{day} / 86400 \, \text{seconds} = 0.00083 \, \text{m/s}\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Speed Conversion
Understanding how to convert speed from one set of units to another is a foundational skill in physics and various applications. Let's explore an example from our exercise where the speed is given in furlongs per fortnight. To make this measure more relatable and widely usable, we convert it into meters per second (m/s), which is the SI unit for speed.

Conversion involves using equivalence statements between the units. For instance, knowing that 1 furlong equals 220 yards and 1 yard equals 0.9144 meters provides us the basis to convert furlongs into meters. Similarly, converting time units from fortnights to days and then to seconds (1 fortnight = 14 days, 1 day = 86400 seconds) enables us to express speed in the widely-accepted m/s format.

By applying these equivalence fractions, we calculate the creature's speed as approximately 0.00083 m/s. This step-by-step process is not only practical in academic problems but is also crucial in real-world applications where proper unit conversion can be essential for precise scientific and engineering calculations.
Units of Measurement
Units of measurement provide the language through which we communicate quantities and observe standards in science and everyday life. There's a vast array of units for measuring various physical quantities, from the common ones like meters, kilograms, and seconds to less common ones like furlongs and fortnights used in our exercise.

The International System of Units (SI) helps standardize measurements globally, improving communication and comparison of data. However, certain fields and regions may use non-SI units. For instance, while scientists commonly use meters, yards are still in regular use in countries like the United States. It's vital for students to become familiar with different measurement systems and fluent in converting between them, as this exercise demonstrates.

When dealing with less conventional units, always look up the equivalent SI units to ensure accuracy in conversion. By doing so, you ensure a better understanding of the scale and comparisons across different measurement systems.
Physics Problem Solving
Problem-solving is the heart of physics and it involves logical thinking, understanding concepts, and applying mathematical tools. A problem, much like the one involving the creature's unusual speed, typically requires identifying knowns and unknowns, translating words into mathematical symbols, and applying the appropriate equations and units of conversion.

To solve physics problems efficiently, start by thoroughly reading the problem and understanding what is being asked. Then, list out the given information and determine the proper conversion factors, like converting furlongs to meters or fortnights to seconds as shown in the solution. This systematic approach allows you to build the solution step by step.

Remember, practice is key in physics. Solving a variety of problems with different contexts and units hones your skills and builds intuition. And don't hesitate to refer back to principles or to seek out examples when you find a concept challenging. Keep an open mind and work methodically, and you'll find that even complex problems with odd units can be tackled with confidence.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A small cube of iron is observed under a microscope. The edge of the cube is \(5.00 \times 10^{-6} \mathrm{cm}\) long. Find (a) the mass of the cube and (b) the number of iron atoms in the cube. The atomic mass of iron is \(55.9 \mathrm{u},\) and its density is \(7.86 \mathrm{g} / \mathrm{cm}^{3}\).

The nearest stars to the Sun are in the Alpha Centauri multiple-star system, about \(4.0 \times 10^{13} \mathrm{km}\) away. If the Sun, with a diameter of \(1.4 \times 10^{9} \mathrm{m},\) and Alpha Centauri A are both represented by cherry pits \(7.0 \mathrm{mm}\) in diameter, how far apart should the pits be placed to represent the Sun and its neighbor to scale?

The paragraph preceding Example 1.1 in the text mentions that the atomic mass of aluminum is \(27.0 \mathrm{u}=27.0 \times 1.66 \times 10^{-27} \mathrm{kg} .\) Example 1.1 says that \(27.0 \mathrm{g}\) of aluminum contains \(6.02 \times 10^{23}\) atoms. (a) Prove that each one of these two statements implies the other. (b) What If? What if it's not aluminum? Let \(M\) represent the numerical value of the mass of one atom of any chemical element in atomic mass units. Prove that \(M\) grams of the substance contains a particular number of atoms, the same number for all elements. Calculate this number precisely from the value for u quoted in the text. The number of atoms in \(M\) grams of an element is called Avogadro's number \(N_{\mathrm{A}} .\) The idea can be extended: Avogadro's number of molecules of a chemical compound has a mass of \(M\) grams, where \(M\) atomic mass units is the mass of one molecule. Avogadro's number of atoms or molecules is called one mole, symbolized as 1 mol. A periodic table of the elements, as in Appendix \(\mathrm{C},\) and the chemical formula for a compound contain enough information to find the molar mass of the compound. (c) Calculate the mass of one mole of water, \(\mathrm{H}_{2} \mathrm{O} .\) (d) Find the molar mass of \(\mathrm{CO}_{2}\).

The radius of a circle is measured to be \((10.5 \pm 0.2) \mathrm{m}\) Calculate the (a) area and (b) circumference of the circle and give the uncertainty in each value.

The consumption of natural gas by a company satisfies the empirical equation \(V=1.50 t+0.00800 t^{2},\) where V is the volume in millions of cubic feet and \(t\) the time in months. Express this equation in units of cubic feet and seconds. Assign proper units to the coefficients. Assume a month is equal to 30.0 days.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.