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?
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
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.
Students also viewed these Mechanics 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...
-
Lester Enterprises' comparative balance sheets included inventory of $90,200 at December 31, 2011, and $70,600 at December 31, 2012. Lester's comparative balance sheets also included accounts payable...
-
1. What was the dilemma that MAHLE was facing? 2. Why did MAHLE seek out SAP and MHP to help with its logistics problems? 3. What benefits did MAHLE receive from implementing the SAP Transportation...
-
You are the general manager of a firm that manufactures personal computers. Due to a soft economy, demand for PCs has dropped 50 percent from the previous year. The sales manager of your company has...
-
5. Let E(x) = xn which converges for all x. A power series Cnx" can be found for n=0 n=0 E(x) 1+x n!' using power series multiplication. Find Co, C1, C2, C3, C4 of this power series. You do not need...
-
Calculate the maximum non-expansion work per mole that may be obtained from a fuel cell in which the chemical reaction is the combustion of propane at 298 K.
-
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....
-
_________ is the key aspect of the preventive law plan since it involves the actual reduction of risk. a. Risk control b. Risk retention c. Risk evaluation d. Risk assessment
-
What are characteristics of a pop-up menu?
-
What is the relationship between windows and frames?
-
What are some ways that we can use to identify use-cases design objectsnamely, interface objects, control objects, and entity objects?
-
What is the objective of refining the use-case model in object design? Why is it important?
-
What are the main activities of object-oriented design?
-
The theory of labor supply indicates that more labor services will be offered at higher wages. Suppose that HRSWK is the usual number of hours worked per week by a randomly selected person and WAGE...
-
Do public and private companies follow the same set of accounting rules? Explain.
-
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...
-
What is strategic management? What is strategic planning? What is strategic thinking? What is the difference between strategic planning, strategic management and strategic thinking? How are strategic...
-
Collaboration with others is important because completing complex work depends on key relationships between functional areas in organizations and cross-functional pollination of ideas. Collaborative...
-
1. Identify the core issues and opportunities for company EDO JAPAN. Identify with a thorough explanation why they are important to the company of EDO JAPAN. 2. Provide a three well developed...
Study smarter with the SolutionInn App