Chapter 15, Section 15.2, Question 045 Find the work done by the force field F on...
Chapter 15, Section 15.2, Question 045 Find the work done by the force field F on a particle that moves along the curve C. F(x,y) = xy i+x? ; C: x = y2 from (0,0) to (4.2) Enter the exact answer as an improper fraction, if necessary, W = Edit By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your in Lowered by MapleNet ley & Sons, Inc. All...
Find the work done by the force field F on a particle that moves along the curve rve C. F(x,y) = 2xy i+ 3x j C: x=y from (0,0) to (1,1) Enter the exact answer as an improper fraction, if necessary. 1 W= Edit 2
Find the work done by the force field F on a particle that moves along the curve C. F(x,y)=xy i+x^2 j C: x=y2 from (0,0) to (4,2) Enter the exact answer as an improper fraction, if necessary. W=
Chapter 15, Section 15.3. Question 015 Confirm that the force field F is conservative in some open connected region containing the points Pand and then find the work done by the force field on a partide moving along an arbitrary smooth curve in the region from Pto Fix,y) = xy + y): 7.9.068,0) Enter the exact answer as an improper fraction, if necessary W- Edit
Q6 [10+1+3=14 Marks] Let F be a force field given by F(x, y) = y2 sin(xy?) i + 2xy sin(xy?)j. (a) Show that F. dr is exact by finding a potential function f. (b) Is I = S, y2 sin(xy2) dx + 2xy sin(xy?) dy independent of path C? Justify your answer. (c) Use I to find the work done by the force field F that moves a body along any curve from (0,0) to (5,1).
Find the work done by the force field F(x, y) = (x² + y²)i + xyj on a particle that moves along the curve C, defined by r(t)=t’i +tºj for Osts1
Problem 5 (10 points) Calculate the work done by a force field F, given by F(x, y) = (x + y, x - y) when an object moves from (0,0) to (1,1) along the path x = y2.
Find the work done by the force field F= (y2/2, Z, x) in moving a particle along the curve C, where C is the intersection curve of the plane x +z = 1 and the ellipsoid x2 + 2y2 + x2 = 1 oriented counterclockwise when viewed from positive z— axis.
Find the work done by the vector field F(x, y) = {xy i + áraj (the vector field from Question 1) on a particle that moves from (0,0) to (0, 1) (moving in a straight line up and along the y axis) and then from (0, 1) to (3, 2) along the curvey= Vx+1. Thus the path is given by along the curve y=x+1 (0,0) up the y-axis + (0,1) (3,2) 1 F. dr 2 F. dr = 0 18...
(1 point) Find the work done by the force field F(x, y, z) = 5xi + 5yj + 3k on a particle that moves along the helix r(t) = 1 cos(t)i + 1 sin(t)j + 5tk, 0 < t < 21.0