Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for Physics (5th Edition)
5th Edition
ISBN: 9780134019727
Author: James S. Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1, Problem 13PCE
The time T required for one complete oscillation of a mass m on a spring of force constant K is
Find the dimensions k must have for this equation to be dimensionally correct.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
When a tension force T is applied to a spring the extension x is related to T by Hooke’s law T = kx, where k is called the stiffness of the spring. What are the dimensions of k and verify the dimensional correctness of the formula t = 2p√(m/k) for the period of oscillation of a mass m suspended by a spring of stiffness k.
The period T of a simple pendulum is the amount of timerequired for it to undergo one complete oscillation. If the lengthof the pendulum is L and the acceleration of gravity is g, then T isgiven by T = 2pLpgq. Find the powers p and q required for dimensional consistency.
The period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. Using dimensional analysis, determine the expression for the dimension of g in terms of the fundamental dimensions of mass (M), length (L), and time (T).
Chapter 1 Solutions
Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for Physics (5th Edition)
Ch. 1.1 - The laws of physics apply to which of the...Ch. 1.2 - Rank the following lengths (A, B, C, and D) in...Ch. 1.3 - Give the dimensions of each of the following...Ch. 1.4 - Rank the following numbers in order of increasing...Ch. 1.5 - To convert a length of 6 ft to its equivalent in...Ch. 1.6 - Give an order-of-magnitude estimate for the speed...Ch. 1.7 - (a) Can two cars have the same speed but different...Ch. 1 - Can dimensional analysis determine whether the...Ch. 1 - If a distance d has units of meters, and a time T...Ch. 1 - Is it possible for two quantities to (a) have the...
Ch. 1 - The frequency of a pendulum is the number of...Ch. 1 - Albert runs 34 m to the right in 10 s. Isaac runs...Ch. 1 - Give an order-of-magnitude estimate for the time...Ch. 1 - Give an order-of-magnitude estimate for the length...Ch. 1 - The Hunger Games The movie The Hunger Games...Ch. 1 - BIO The Thickness of Hair A human hair has a...Ch. 1 - The speed of light in a vacuum is approximately...Ch. 1 - A Fast Computer IBM has a computer it calls the...Ch. 1 - Which of the following equations are dimensionally...Ch. 1 - Which of the following quantities have the...Ch. 1 - Which of the following quantities have the...Ch. 1 - Which of the following quantities have the...Ch. 1 - Velocity is related to acceleration and distance...Ch. 1 - Acceleration is related to distance and time by...Ch. 1 - The time t required for an object to fall from...Ch. 1 - Newtons second law (to be discussed in Chapter 5)...Ch. 1 - The time T required for one complete oscillation...Ch. 1 - The speed of light to five significant figures is...Ch. 1 - A parking lot is 124.3 m long and 41.06 m wide....Ch. 1 - On a fishing trip you catch a 2.77-lb bass, a...Ch. 1 - How many significant figures are there in (a)...Ch. 1 - What is the area of a circle of radius (a) 11.37 m...Ch. 1 - The first several digits of , the ratio of the...Ch. 1 - Rank the following speeds in order of increasing...Ch. 1 - The Ark of the Covenant is described as a chest of...Ch. 1 - A car drives on a highway with a speed of 68 mi/h....Ch. 1 - Angel Falls Water going over Angel Falls, in...Ch. 1 - An electronic advertising sign repeats a message...Ch. 1 - BIO Blue Whales The blue whale (Balaenoptera...Ch. 1 - The Star of Africa The Star of Africa, a diamond...Ch. 1 - BIO Woodpecker Impact When red-headed woodpeckers...Ch. 1 - Predict/Calculate Many highways have a speed limit...Ch. 1 - BIO Mantis Shrimp Peacock mantis shrimps...Ch. 1 - A Jiffy The American physical chemist Gilbert...Ch. 1 - The Mutchkin and the Noggin (a) A mutchkin is a...Ch. 1 - Suppose 1.0 cubic meter of oil is spilled into the...Ch. 1 - The acceleration of gravity is approximately 9.81...Ch. 1 - BIO Squid Nerve Impulses Nerve impulses in giant...Ch. 1 - Give a ballpark estimate of the number of seats in...Ch. 1 - Estimate the speed at which your hair grows. Give...Ch. 1 - Milk is often sold by the gallon in plastic...Ch. 1 - New York is roughly 3000 miles from Seattle. When...Ch. 1 - Which of the following equations are dimensionally...Ch. 1 - Which of the following quantities have the...Ch. 1 - Prob. 41GPCh. 1 - Glacial Speed On June 9, 1983, the lower part of...Ch. 1 - One liter of pure gold weighs 42.5 lb. If you...Ch. 1 - What is the speed in miles per second or a beam or...Ch. 1 - BIO Rattlesnake Frequency A timber rattlesnake...Ch. 1 - BIO A single human red blood cell has a mass of...Ch. 1 - BIO Com Growth Sweet corn plants can grow 4.1 cm...Ch. 1 - BIO Mosquito Courtship Male mosquitoes in the mood...Ch. 1 - Predict/Calcuiate A Porsche sports car can...Ch. 1 - A Speeding Bullet The fastest commercially...Ch. 1 - BIO Human Nerve Fibers Type A nerve fibers in...Ch. 1 - Bio Brain Growth The mass of a newborn baby's...Ch. 1 - The Huygens Probe MASAs Cassini mission to Saturn...Ch. 1 - BIO Spin-Dry Dragonflies Some dragonflies are...Ch. 1 - Acceleration is related to velocity and time by...Ch. 1 - The period T of a simple pendulum is the amount of...Ch. 1 - Driving along a crowded freeway, you notice that...Ch. 1 - Prob. 58PPCh. 1 - Prob. 59PPCh. 1 - Prob. 60PPCh. 1 - Prob. 61PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Rooms A and B are the same size, and are connected by an open door. Room A, however, is warmer (perhaps because...
An Introduction to Thermal Physics
42. A bicycle wheel is rotating at 50 rpm when the cyclist begins to
pedal harder, giving the wheel a constant...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Choose the best answer to each of the following. Explain your reasoning. In general, what kind of a terrestrial...
Cosmic Perspective Fundamentals
Based upon Figures 1 and 2, why is ultraviolet light NOT an important energy source for heating the surface of ...
Lecture- Tutorials for Introductory Astronomy
5.24 CP CALC A 5.00-kg crate is suspended from the end of a short vertical rope of negligible mass. An upward f...
University Physics with Modern Physics (14th Edition)
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
- Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 . Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a)F=ma;(b)K=0.5mv2;(c)p=mv;(d)W=mas;(e)L=mvrarrow_forwardA rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.arrow_forwardA house is advertised as having 1 420 square feet under its roof. What is area in square meters? (a) 4 660 m2(b) 132 m2 (c) 158m2 (d) 132 m2 (e) 10.2m1arrow_forward
- Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?arrow_forwardIn the equation y = y0 + vt + 1/2at^2 y and y0 are distances, v is a velocity, a is an acceleration, and t is time. Is the equation dimensionally homogeneous?arrow_forwardThe period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by where ℓ, is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formulaarrow_forward
- Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT–1, [a] = LT–2, and [t] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a) F = ma; (b) K = 0.5mv2; (c) p = mv; (d) W = mas; (e) L = mvr.arrow_forwardThe position coordinate x of a particle is determined by its velocity v and the elapsed time t as follows: (a) x = At 2−Bvt; and (b) x = Avte−Bt . Determine the dimensions of constants A and B in each case, assuming the expressions to be dimensionally correct.arrow_forwardWhich of the following equations are dimensionally (units) consistent? 1. v = 1/2at2 2. t = v/a 3. v2 = 2as 4. v = taarrow_forward
- Consider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the periodof oscillation of the simple pendulum depends on its length (l), mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using method of dimensions.arrow_forwardAn architect is redesigning a rectangular room on the blueprints of the house. He decides to double the width of the room, increase the length by 89.0%, and increase the height by 20.0%. By what factor has the volume of the room increased?arrow_forwardThe sides of a container in a form of arectangular prism were measured with certainestimated probable errors as follows:L = 24.575 + 0.030 mW = 11.685 + 0.015 mH = 5.165 + 0.010 mCalculate the probable error in the volume ofthe container, in m3arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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