Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 1, Problem 23PQ
A Later in this book, you will study oscillating motion. Such motion is repetitive. Each complete repetition is called a cycle, and the frequency f is the number of cycles per unit time. The SI unit of frequency is s–1. For a block oscillating at the end of a spring, the frequency depends on the mass m of the block, and the stiffness (spring constant) k of the spring. The dimensions of k are mass per time squared. Use dimensional analysis to find the mathematical dependence of f on k and m.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
You are making a sculpture that is a pyramid with a square base . You want the height of the pyramid to be 4 inches less than the length of a side of the base . You want the volume of the sculpture to be 200 cubic inches .
a . Let x represent the length ( in inches ) of a side of the sculpture's base . Draw a diagram of the sculpture , and label the dimensions in terms of x .
b . Write a function that gives the volume V of the sculpture in terms of x .
The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick.
number of dimes:
Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh?
mass:
g
What is the value, in dollars, of the same stack of dimes?
value:
dollars
The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value?
number of stacks:
b. The position of a moving particle in vortex is expressed as, x(t) = xo sin(at³ + bt3/2) where xo
is the position at t= 0,x (t) is the position at time t, and a and b are the constants. Using dimensional
analysis find the units of the constants a and b?
Chapter 1 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 1.5 - To practice using the prefixes in Table 1.1,...Ch. 1.5 - Prob. 1.2CECh. 1.6 - In Einsteins famous equation E = mc2, m stands for...Ch. 1.6 - Prob. 1.4CECh. 1.6 - Prob. 1.5CECh. 1.7 - How many significant figures does each number...Ch. 1.7 - Prob. 1.7CECh. 1 - The average life expectancy in Japan is 81 years....Ch. 1 - If you live in the United States, you probably...Ch. 1 - Prob. 3PQ
Ch. 1 - How many cubic centimeters (cm3) are in one cubic...Ch. 1 - Prob. 5PQCh. 1 - Prob. 6PQCh. 1 - A certain pure 0.9999 gold bullion bar with a mass...Ch. 1 - In Jules Vernes novel, Twenty Thousand Leagues...Ch. 1 - The distance to the Sun is 93 miIlion miles. What...Ch. 1 - A popular unit of measure in the ancient world was...Ch. 1 - CASE STUDY On planet Betatron, mass is measured in...Ch. 1 - Use your weight in pounds to find your mass in...Ch. 1 - A garden snail named Archie, owned by Carl...Ch. 1 - As part of a biology field trip, you have taken an...Ch. 1 - Prob. 15PQCh. 1 - Prob. 16PQCh. 1 - The kilogram Standard is a circular cylinder whose...Ch. 1 - Acceleration a has the dimensions of length per...Ch. 1 - Prob. 19PQCh. 1 - Prob. 20PQCh. 1 - Prob. 21PQCh. 1 - Prob. 22PQCh. 1 - A Later in this book, you will study oscillating...Ch. 1 - Prob. 24PQCh. 1 - Prob. 25PQCh. 1 - Convert 13.7 billion yeans (the age of the...Ch. 1 - How many significant figures does 0.00130 m have?Ch. 1 - A distance with two significant figures divided by...Ch. 1 - Prob. 29PQCh. 1 - Prob. 30PQCh. 1 - Perform the following arithmetic operations,...Ch. 1 - Calculate the result for each of the following...Ch. 1 - Prob. 33PQCh. 1 - In a laboratory, a researcher fails to start a...Ch. 1 - Prob. 35PQCh. 1 - Prob. 36PQCh. 1 - Prob. 37PQCh. 1 - Prob. 39PQCh. 1 - Prob. 41PQCh. 1 - Prob. 43PQCh. 1 - Prob. 44PQCh. 1 - In 2011, artist Hans-Peter Feldmann covered the...Ch. 1 - Prob. 49PQCh. 1 - Convert the following distances into SI units....Ch. 1 - Prob. 51PQCh. 1 - Later in this book, you will learn that sound is a...Ch. 1 - Two decorative spheres are carved from the same...Ch. 1 - Prob. 54PQCh. 1 - Prob. 55PQCh. 1 - Prob. 56PQCh. 1 - During a visit to New York City, Lil decides to...Ch. 1 - Prob. 58PQCh. 1 - You are part of a team in an engineering class...Ch. 1 - Prob. 60PQCh. 1 - A unit of distance used in astronomy is the parsec...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A popular unit of measure in the ancient world was the cubit (approximately the distance between a persons elbow and the end of the middle finger, when outstretched). Estimate the length of 1 cubit in centimeters. Given that there are about 1.609 103 m in 1 mile, how many cubits are there in 1 mile?arrow_forwardCASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.arrow_forwardIn Jules Vernes novel, Twenty Thousand Leagues Under the Sea, Captain Nemo and his passengers undergo many adventures as they travel the Earths oceans, a. If 1.00 league equals 3.500 km, find the depth in meters to which the crew traveled if they actually went 2.000 104 leagues below the ocean surface. b. Find the difference between your answer to part (a) and the radius of the Earth, 6.38 106 m. (Incidentally, author Jules Verne meant that the total distance traveled, and not the depth, was 20,000 leagues.)arrow_forward
- You purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?arrow_forwardExplain the difference between a rate of change that is positive and one that is negative. Give an example of each. O Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with the increase in x, then the rate of change of y is positive. Whereas, if y decreases as x increases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed increases with increasing time, and the rate of change of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed decreases over time. Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with a decrease in x, then the rate of change of y is positive. Whereas, if y decreases as x decreases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car…arrow_forwardSome physical quantity X has the following units: M-9 L-5 T7. Some physical quantity Y has the following units: M6 L3 T-2. X and Y are related by an equation Y2 = c X-9, where c is some constant. The units of c can be written as Ma Lb Tc. What is a?arrow_forward
- Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]arrow_forwardThe volume of a solid cylinder is given by V = pr2h, where r is the radius and h is the height. You measure the radius and height of a thin cylindrical wire and obtain the results r = 0.036 cm and h = 12.1 cm. What do your measurements give for the volume of the wire in mm3? Use the correct number of significant figures in your answer.arrow_forwardQuestion 1: The magnitude of the friction force acting on a particle is given by f -bv?. Here, b and v are a positive constant and the speed of the particle, respectively. Find the dimension of constant b in terms of fundamental dimensions M (mass), T (time), and L (length). Select one: O M/L2 о мл O M/L O M/T? O Dimensionlessarrow_forward
- A series of five measurements of the mass of a cylinder is made. The results of those measurements are 20.5 g, 20.6 g, 20.4 g, 20.4 g, and 20.5 g. Calculate the mean. Apply the rules of significant figures. O 20.50 g O 20.4 g O 20.48 g O 20.5 garrow_forwardPart A If Vx = 9.8 units and Vy = -6.1 units, determine the magnitude of V⃗ V→. Express your answer using three significant figures. Part B Determine the direction of V⃗ V→. Express your answer using three significant figures.arrow_forwardA uniform rectangular plate of length B = 39 cm and height A = 19 cm has a rectangular corner cut out of it of length D = 9 cm and height C = 8 cm. The plate is made of a material of area mass density σ. For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal pointing right and the y-axis vertical pointing up. A. Calculate the value of the y-coordinate, in centimeters, for the center of mass of the plate. B. Calculate the value of the x-coordinate, in centimeters, for the center of mass of the plate.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Components of a Vector (Part 1) | Unit Vectors | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=fwMUELxZ0Pw;License: Standard YouTube License, CC-BY
02 - Learn Unit Conversions, Metric System & Scientific Notation in Chemistry & Physics; Author: Math and Science;https://www.youtube.com/watch?v=W_SMypXo7tc;License: Standard Youtube License