Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 1, Problem 41P
To determine
To Show: The dimension of momentum in terms of dimensions of force and time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Kinetic energy K (Chapter 7) has dimensions kg m²/s².
It can be written in terms of the momentum p
and mass mas
K =
2m
Determine the proper units for momentum using
dimensional analysis.
Use dimensional analysis to determine how the period T of a swinging pendulum (the elapsed time for a complete cycle of motion) depends on some, or all, of these properties: the length L of the pendulum, the mass m of the pendulum bob, and the gravitational field strength g (in m/s2). Assume that the amplitude of the swing (the maximum angle that the string makes with the vertical) has no effect on the period.
In this problem, the symbols M , L , and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities m , s , r , v , a , and t with dimensions [m]=M , [s]=L , [r]=L , [v]=LT−1 , [a]=LT−2 , and [t]=T . (Here, the square bracket means “the dimensions of” so, for example, [m] represents the dimensions of the quantity m .) In each part of this problem you will be given an equation that you should assume is dimensionally consistent and must find the dimensions of the quantity on the left-hand side based on the combination of quantities on the right.
What are the dimensions of K=1/2mv^2?
Chapter 1 Solutions
Physics for Scientists and Engineers
Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10P
Ch. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Prob. 14PCh. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 34PCh. 1 - Prob. 35PCh. 1 - Prob. 36PCh. 1 - Prob. 37PCh. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Prob. 40PCh. 1 - Prob. 41PCh. 1 - Prob. 42PCh. 1 - Prob. 43PCh. 1 - Prob. 44PCh. 1 - Prob. 45PCh. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - Prob. 48PCh. 1 - Prob. 49PCh. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - Prob. 56PCh. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - Prob. 65PCh. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - Prob. 69PCh. 1 - Prob. 70PCh. 1 - Prob. 71PCh. 1 - Prob. 72PCh. 1 - Prob. 73PCh. 1 - Prob. 74PCh. 1 - Prob. 75PCh. 1 - Prob. 76PCh. 1 - Prob. 77PCh. 1 - Prob. 78P
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
- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.arrow_forwardRoughly how many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human?arrow_forwardCompute, in centimeters and in meters, the height of a basketball player who is 6 ft 5 in. tall.arrow_forward
- Math Review (a) Solve the equation 7.20 103 m/s = (4.20 103 m/s) ln (Mi/Mf) for the fraction Mi/Mf. (b) If Mi = 2.65 104 kg, calculate Mf.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_forwardKinetic energy KE (Chapter 5) has dimensions kgm2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as KE = p2/2m (a) Determine the proper units for momentum (p) using dimensional analysis. (b) Refer to Problem 2. Given the units of force, write a simple equation relating a constant force F exerted on an object, an interval of time t during which the force is applied, and the resulting momentum of the object, p.arrow_forward
- The kinetic energy varies directly as the square of the momentum (?) and inversely as the mass (?). If the momentum is 14 kilograms ⋅ meters per second and the mass is 2 kilograms, then the kinetic energy is 49 joules. Express the kinetic energy as a function of momentum and mass.arrow_forwardA rectangle expands and contracts with time t (in seconds). Its area is given by A= 4 + sin t square meters. At t = 3.14 (pi), the following is observed. (1) the width of the rectangle expands at the rate of 0.1 meters per second. (2) The width of the rectangle is 1 meter long How fast is the height of the rectangle changing at t = 3.14 (pi)?arrow_forwardOne molecule of water (H2O) contains two atoms of hydrogen and one atom of oxygen.A hydrogen atom has a mass of 1.0 u and an atom of oxygen has a mass of 16 u, approximately. (a) What is the mass in kilograms of one molecule of water? (b) How many molecules of water are in the world’s oceans, which have an estimated total mass of 1.4 =1021 kg?arrow_forward
- Using the SI system of units, show that Eq. 1–2 is a dimensionallyhomogeneous equation which gives F in newtons. Determine to three significant figures the gravitational force acting between two spheres that aretouching each other. The mass of each sphere is 200 kg and the radius is 300 mm.arrow_forwardA rectangle has the dimensions of 3.1 mx 2.40 m when viewed by someone at rest with respect to it. When you move past the rectangle along one of its sides, the rectangle looks like a square. Then you move at the same speed along the adjacent side of the rectangle. What dimensions do you observe (a) for the longer side and (b) for the shorter side? (a) Number i (b) Number Units Unitsarrow_forwardYou want to calculate the area of your dorm room which is in a rectangular shape. You measure the length and the width of the room as L = 5.8 +- 0.1 m , W = 3.5 +- 0.1 m. What is the absolute error in the area in m2 units?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
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