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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 92AP: A horizontal force of 20 N is required to keep a 5.0 kg box traveling at a constant speed up a...

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