Determine the work done by a particle that moves from the P position (0,0) to the Q position (1,0) in the vector field: F (x, y) = e^3y i + (-3e^3y x + y) j
Determine the work done by a particle that moves from the P position (0,0) to the...
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
4. Use Green's Theorem to calculate the work done by force F on a particle that is moving counterclockwise around the closed path C. Determine whether the vector field is conservative. C boundary of the triangle with vertices (0,0), (V5,0), (0,15). F(x,y) = (x3 - 3y)i + (6x +5/7);.
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...
9. The work done by the force F(x, y) (2at +e) i (4y in moving a particle -re from (0,0) to (1,1) along the curve y =x4 needs to be calculated. a. Show that F is a conservative vector field. b. Describe three different ways to calculate the work. Answer: 3 +1/e c. Calculate the work by a method of your choice.. a. Show that F=(y+yz) i + (x + 32 + xz) j +(9yz2 + y 1) k is...
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
(1, 2) on a particle that moves 2. (5 points) Find the work done by the force field F(x,y) along the line segment from (1,2) to (2,5).
A particle starts from the origin (0,0) and moves to position (9,16) in 1.5s. If the particle starts from rest, what is the acceleration in component form of the particle?
2. Compute the work done in displacing a particle from the point (-1,2,0) to the point(0,3,1) in the force field F(x, y, z) = ,i+j+ k, where r = V x2 + y2 + 22.