Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 19

Solve the following problem and express the answer in meters per second \((\mathrm{m} / \mathrm{s})\) with the appropriate number of significant figures. \((3.21 \mathrm{m}) /(7.00 \mathrm{ms})=?\) [Hint: Note that ms stands for milliseconds.]

Short Answer

Expert verified
Express your answer with the correct number of significant figures. Answer: The speed of the sprinter is 459 m/s.

Step by step solution

01

Convert Units

First, we need to convert the time from milliseconds to seconds. To do this, we can use the fact that there are 1000 milliseconds in 1 second: \((7.00 \mathrm{ms}) \times (1\, \mathrm{s}/1000\, \mathrm{ms}) = 0.00700\, \mathrm{s}\).
02

Calculate Speed

Now we can compute the speed using the formula: \(speed = distance/time\). Plugging in the given values, we get: \(speed = (3.21 \mathrm{m}) / (0.00700 \mathrm{s})\).
03

Divide And Apply Significant Figures

Next, divide the distance by the time to find the speed: \(3.21/0.00700 = 458.57\). Since the input values have 3 significant figures each, the final answer should also have 3 significant figures: \(speed = 459\, \mathrm{m/s}\).

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

The record blue whale in Problem 68 had a mass of $1.9 \times 10^{5} \mathrm{kg} .\( Assuming that its average density was \)0.85 \mathrm{g} / \mathrm{cm}^{3},$ as has been measured for other blue whales, what was the volume of the whale in cubic meters \(\left(\mathrm{m}^{3}\right) ?\) (Average density is the ratio of mass to volume.)
A linear plot of speed versus elapsed time has a slope of $6.0 \mathrm{m} / \mathrm{s}^{2}\( and a vertical intercept of \)3.0 \mathrm{m} / \mathrm{s} .$ (a) What is the change in speed in the time interval between \(4.0 \mathrm{s}\) and \(6.0 \mathrm{s} ?\) (b) What is the speed when the elapsed time is equal to 5.0 s?
You are given these approximate measurements: (a) the radius of Earth is $6 \times 10^{6} \mathrm{m},\( (b) the length of a human body is \)6 \mathrm{ft},(\mathrm{c})\( a cell's diameter is \)10^{-6} \mathrm{m},$ (d) the width of the hemoglobin molecule is \(3 \times 10^{-9} \mathrm{m},\) and (e) the distance between two atoms (carbon and nitrogen) is $3 \times 10^{-10} \mathrm{m} .$ Write these measurements in the simplest possible metric prefix forms (in either nm, Mm, \(\mu \mathrm{m}\), or whatever works best).
In cleaning out the artery of a patient, a doctor increases the radius of the opening by a factor of 2.0 By what factor does the cross-sectional area of the artery change?
The relationship between kinetic energy \(K\) (SI unit $\left.\mathrm{kg} \cdot \mathrm{m}^{2} \cdot \mathrm{s}^{-2}\right)\( and momentum \)p\( is \)K=p^{2} /(2 m),\( where \)m$ stands for mass. What is the SI unit of momentum?
See all solutions

Recommended explanations on Physics Textbooks

Classical Mechanics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Geometrical and Physical Optics

Read Explanation

Dynamics

Read Explanation

Physical Quantities And Units

Read Explanation

Linear Momentum

Read Explanation
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.

Sign-up for free