Consider the equation mgh -1/2mv 2 , where m has units of mass (kilograms), g has units

Question:

Consider the equation mgh -1/2mv², where m has units of mass (kilograms), g has units of length/time² (m/s²), h has units of length (meters), and v has units of length/time (m/s).

(a) Is this equation dimensionally correct or incorrect?

(b) Is the equation v²/h = g dimensionally correct or incorrect?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Physics Reasoning and Relationships

ISBN: 978-0840058195

2nd edition

Authors: Nicholas Giordano

See More Books

Question Posted: Dec 31, 2018 04:53 AM

See More Questions

Suppose that a string of length L and mass m is under tension F. (a) Show that (FL/m has units of speed. (b) Show that there is no other combination of L, m, and F with units of speed. [Of the...
Consider particles of mass m and energy E moving along the x-axis under the influence of a potential V(x). The particles have energy E > 0 and the potential had the from V(x) = 0 for x < 0, V(x) = V0...
Consider an oil droplet of mass m and charge q. We want to determine the charge on the droplet in a Millikan-type experiment. We will do this in several steps. Assume, for simplicity, that the charge...
As CEO of your company, youve been going over your financial statements and have noticed something disturbing. You perform a horizontal analysis and find that sales have been increasing at a rate of...
Brianna wants to purchase a new set of 4 tires for her car. She identifies two stores that sell the specific tires she is looking for. Both stores sell the tires for $119 per tire. Store A charges an...
The condensed form of Nordstrop Companys flexible budget for manufacturing overhead follows: The following information is available for a recent period: a. The denominator activity of 8,000...
The accompanying length measurements were made on 20 consecutively produced pencils. a. Construct a time series plot. Be sure to connect the plotted points and add a centerline. b. Which type of...
Mike Moore's microbrewery is considering production of a new ale called Mike's Honey Harvest Brew. To produce this new offering he is considering two independent projects. Each of these projects has...
Periodic Inventory by Three Methods; Cost of Merchandise Sold The units of an item available for sale during the year were as follows: Jan. 1 Inventory 900 units at $54 Mar. 10 Purchase 1,120 units...
Howard McGraw of Windsor opened First City Surveying Service. As his accountant, analyze the transactions listed and present to Howard the following information, in proper form. 1. The analysis of...
Sports cars. A Corvette C4 (circa 1971) came equipped with a huge 454 V8 engine, where the volume of the combustion chambers summed to 454 cubic inches (in. 3 ). In modern engines, this volume is...
The variable m has dimensions of mass, h and y have dimensions of length, and t has dimensions of time. What are the dimensions of the following quantities? (a) my/t, (b) hy/t 2 , (c) y 3 /(ht)
How important was Ians knowledge of the billing procedures used within the steel industry in his being able to establish his business? Given his cash position when he opened his business, do you...
4) This question concerns the simulation of price trajectories in the Black-Scholes model. We therefore want to simulate price vectors: (St St, Str); where tiit, i=0,1,..., n. The total number of...
Consider a pure exchange economy with two goods, (x,y), and two consumers, (1,2). Con- sumers' endowments are e (4,2) and e = (6,6) and their preferences are represented by utility functions: u(x,y)...
O The national highways agency releases information on the pro- portion of people not wearing seatbelts, aggregated by city. The data comes from random traffic stops conducted between 8am and 9am on...
Ivanka's Budgeted Income Statement You are the accountant for Ivanka Ltd which operates a small mixed business. The following estimates relate to the base year (Year 1): Sales of product A $100 000...
1. Implement the function of a XNOR gate by a 2 to 4 decoder. Use logic gates if needed at the output. 2. The following question is to design an octal to binary encoder. a) Write down the truth table...
The annual budget of the United States is very complex, but this case requires that you analyze only a small portion of the historical tables that are presented as a part of each years budget. The...
Tell whether the angles or sides are corresponding angles, corresponding sides, or neither. AC and JK
Each of the following compounds can be prepared with an alkyl iodide and a suitable nucleophile. In each case, identify the alkyl iodide and the nucleophile that you would use. (a) (b) (c) (d) (e) (f)
Identify the reagents you would use to accomplish the following transformation - Br Br
Identify the reagents necessary to accomplish each of the following transformations. If you are having trouble, the reagents for these transformations appear on page 482, but you should first try to...
Portfolio return and beta Personal Finance Problem Jamie Peters invested $ 1 1 3 , 0 0 0 to set up the following portfolio one year ago: a . Calculate the portfolio beta on the basis of the original...
. Emerson Cammack wishes to purchase an annuity contract that will pay him $7,000 a year for the rest of his life. The Philo Life Insurance Company figures that his life expectancy is 20 years, based...
Integrity Inc. can sell 20-year, $1,000 par value bonds paying semi-annual interests with a 10% coupon. The bonds can be sold for $1,050 each; flotation cost of $50 per bond will be incurred in this...

Consider the equation mgh -1/2mv 2 , where m has units of mass (kilograms), g has units

Question:

Step by Step Answer:

We can use dimensional analysis to make sure both sides of the equation have the same di...View the full answer

College Physics Reasoning and Relationships

Students also viewed these Sciences questions