how get this line? In the following integrals, remember thatîj = 0.î î = j · j = 1and(a) The work is given by the following integral from the initial starting point i to the ending point f.W =We compute the integral for each displacement along the path. For the displacement from O to O,4.154.15WOD(2yî + x?j) · (îdx)%3D4.154.152ydx4.154.15= 2ydx:where the y has been factored out of the integral because it is constant for this integration. Since along this path, y = 0, we have that.ונ= 0WOD A force acting on a particle moving in the xy plane is given by F = (2yî + x2j), where F is in newtons and x and y are in meters. The particle moves from the origin to a finalposition having coordinates x = 4.15 m and y = 4.15 m, as shown in the figure below.у (m)(х, у)x (m)(a) Calculate the work done by F on the particle as it moves along the purple path (oO©).(b) Calculate the work done by F on the particle as it moves along the red path (OB©).(c) Calculate the work done by F on the particle as it moves along the blue path (o©).(d) IsIconservative or nonconservative?(e) Explain your answer to part (d).

Given data: Force is given as, F→ = 2yi^ + x2j^ Formula used: Total Work done during the journey is,…

In the following integrals, remember that î î = j · j = 1 (a) The work is given by the following integral from the initial starting point i to the ending point f. î'j = 0. and W = We compute the integral for each displacement along the path. For the displacement from O to O, 4.15 (2yî + x?j) · (îdx) 4.15 Wo 4.15 4.15 2ydx 4.15 dx 4.15 2y where the y has been factored out of the integral because it is constant for this integration. Since along this path, y = 0, we have that o J. = 0

In the following integrals, remember that î î = j · j = 1 (a) The work is given by the following integral from the initial starting point i to the ending point f. î'j = 0. and W = We compute the integral for each displacement along the path. For the displacement from O to O, 4.15 (2yî + x?j) · (îdx) 4.15 Wo 4.15 4.15 2ydx 4.15 dx 4.15 2y where the y has been factored out of the integral because it is constant for this integration. Since along this path, y = 0, we have that o J. = 0

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Discuss briefly!
Draw the path of an electron moving at right angles to the electric field.
What does the lines indicate in the electric field? Which field is stronger? Why? Peint charge
How could a lightbulb near an electromagnet, but not touching it, be lit? Is ac or dc required? Defend your answer.
State the factors on which the strength of electric current flowing in a given conductor depends.
What will be the magnitude of the force of repulsion between two identical charges if we double their distance? What happens to the force of attraction if we double the distance between two unlike charges?
19. Current through the conductor results in a force to the right. Which way is conventional current flowing? N S F
if a permanent magnet picks up steel paper clip the paper clip also becomes a magnet . how does an electromagnet differ from the magnetized paper clip
Give few uses of combinations of electromagnets and ferromagnets.
23. Why are short circuits and overloaded circuits dangerous? 24. What are the two kinds of current ? Who are they different from each other? 25.What kind of cumrent is generated by a cell or a battery? 26. Which kind of curent did Edison use for the first generating station in New York? Why is the other kind used almost exclusively now?