A force in the xy plane is given by F (F 0 r)(yi xj), where F 0 is a constant and r x 2 y 2 (a) Show that the magnitude of this force is F 0 and that its direction is perpendicular to r xi yj (b) Find the work done by this force on a particle that moves in a circle of radius 5 m centered at the ori...

a F F x 2 F y 2 12 If F r Fr 0 F x 2 F y 2 F 0 2 r 2 y 2 x 2 F 0 2 Fr F 0 r yi ...

A force in the xy plane is given by F = (F 0 /r)(yi - xj), where

Question:

A force in the xy plane is given by F = (F₀/r)(yi - xj), where F₀ is a constant and r = √x² + y² .

(a) Show that the magnitude of this force is F₀ and that its direction is perpendicular to r = xi + yj.

(b) Find the work done by this force on a particle that moves in a circle of radius 5 m centered at the origin. Is this force conservative?

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

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

See More Books

Question Posted: Jun 30, 2011 02:00 PM

See More Questions

The position r of a particle moving in the xy plane is given by r = 2ti + 2 sin [(/4rad/s) t] j, where r is in meters and r is in seconds. (a) Calculate the x and y components of the particle's...
A force acting on a particle moving in the xy plane is given by F = (2yi + x2j), where x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.00 m and...
A circular ring of charge of radius a lies in the xy plane and is centered at the origin. If the ring is in air and carries a uniform density l , (a) Show that the electrical potential at (0,...
The adjusted trial balance for Ray Corporation at July 31, 2017, the corporation's fiscal year end, contained the following: Of the lease liability amount, $16,250 is due within the next year. Total...
Basing his decision on the same set of facts as given in Problem 2-7, Judge B rules that the survivors are not guilty because they were cut off from all civilized life, and in such a situation, the...
Iqbal Corporation uses the lower of FIFO cost and net realizable value method on an individual item basis, applying the direct method. The inventory at December 31, 2019, included product AG....
Think about your family as an organization. Who is/are the leader(s)? Who makes major decisions? How does your family organize household work? (pp. 294296)
T. Hilliary, Inc., uses backflush costing to account for its manufacturing costs. The trigger points for recording inventory transactions are the purchase of materials, the completion of products,...
a tangible asset has a current price of $11. the risk-free rate is 10% per annum. if a futures contract on this asset maturing in three months is sold for $12.48, what should the relevant fixed...
FREE-CASH-FLOWS-BASED VALUATION. In Problem, we projected financial statements for Wal-Mart Stores, Inc. (Walmart) for Years +1 through +5. The data in Exhibits 13 (see pages 985987) include the...
A box of mass M is at the bottom of a frictionless inclined plane (Figure). The box is attached to a string that pulls with a constant tension T. (a) Find the work done by the tension T when the box...
A theoretical formula for the potential energy associated with the nuclear force between two protons, two neutrons, or a neutron and a proton is the Yukawa potential: Where U 0 and a are constants....
Economies grow by investing in new sources of productivity, new plants and equipment, infrastructure such as roads, and so on. How does this type of investment affect the flows depicted in Figure...
Reflect on your semester. How do you plan onmeasuringyour professionalgrowth in the future? What were the most challenging topics to you? What topics felt more intuitive/easy? How do you plan on...
Aside from shareholders, who do you believe is the second stakeholder in whose interests the company should be concerned? Justify your response What will you do to ensure the company's success...
a) What CSR did your organization do - how did it improve your organization's image? b) If your organization did not do any CSR, as the boss, what CSR activities would you suggest doing and why?
Do you believe NIL promotes "love of the game," or does it make college sports more about money and business? What are the most significant positive and negative effects of NIL, in your opinion? What...
Even well-managed organizations do not always work as efficiently and effectively as management would like. At Hewlett-Packard (HP), billions of dollars of product are being shipped - from computers...
More general aircraft were sold during the 1970s than any decade before or after. T F
The following information is available for Partin Company: Sales $598,000 Sales Returns and Allowances 20,000 Cost of Goods Sold 398,000 Selling Expense 69,000 Administrative Expense 25,000 Interest...
Using the exact exponential treatment, find how much time is required to discharge a 250-F capacitor through a 500- resistor down to 1.00% of its original voltage.
In the simple AC circuit shown in Figure 33.2, R = 70.0 and v = Vmax sin wt. (a) If vR = 0.250 Vmax for the first time at t = 0.010 0 s, what is the angular frequency of the source? (b) What is the...
The current in the circuit shown in Figure 33.2 equals 60.0% of the peak current at t = 7.00 ms. What is the smallest frequency of the source that gives this current?
Figure P33.6 shows three lamps connected to a 120-V AC (rms) household supply voltage. Lamps 1 and 2 have 150-W bulbs; lamp 3 has a 100-W bulb. Find the rms current and resistance of each bulb. Lamp...
During the month of September,the Cider Pressing Company is trying to determine how much cider they are going to sell in October and November. One gallon of cider typically sells for $7 per gallon....
This is very confusing please help with descriptions if possible. Complete this question by entering your answers in the tabs below. Prepare a master budget for the three-month period ending June 30...
Doug recibe un dplex como regalo de su to. La base del to para el dplex y el terreno es de $90,000. En el momento de la donacin, el terreno y el edificio tienen un FMV de $40 000 y $80 000,...

A force in the xy plane is given by F = (F 0 /r)(yi - xj), where

Question:

Step by Step Answer:

a F F x 2 F y 2 12 If F r Fr 0 F x 2 F y 2 F 0 2 r 2 y 2 x 2 F 0 2 Fr F 0 r yi ...View the full answer

Fundamentals of Ethics for Scientists and Engineers

Related Video

Students also viewed these Mechanics questions