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(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
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=
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
Let a, b and c be constants and let the force field be given by F(x,y,z) = ax i+by j+cz k. If the work done by the force field F on a particle as it moves along a curve given by r(t) = costi +te'sint j+tk 312 .Osts it, is equal to . Find the value of the constant c. 4 Answer:
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
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) = 2xy i + 2x j C: x= y2 from (0,0) to (8,2) Enter the exact answer as an improper fraction, if necessary. W= ? Edit
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...
2. Find the work done by the force field F(x, y) = 2²7 + ryj on a particle that moves once around the circle r² + y2 = 4 oriented in the counter-clockwise direction.
Find the work done by the force field F(x, y, z) = (x – y, x + z, y + z) in moving a particle along the line segment from (0,0,1) to (2, 1, 0).
Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi + 4yj C: x = t, y = 13 from (0, 0) to (2,8)