Question

find the work done by the force field f(x,y)= <
x^{2}+y^{2}, -x > on a particle that moves along
the curve c: x^{2}+y^{2}=1, counterclockwise from
(0,1) to (-1,0)

Answer #1

Find the work done by a force field F (x, y) = 3x^2i + (4x +
y^2)j on a particle that moves along the curve x^2+y^2 =1 for which
x>=0 and y>=0 (counterclockwise)

Sketch the central field F = (x /(x2 +
y2)1/2)i + (y /(x2 +
y2)1/2) j and the curve C consisting of the
parabola y = 2 − x2 from (−1, 1) to (1, 1) to determine
whether you expect the work done by F on a particle moving along C
to be positive, null, or negative. Then compute the line integral
corresponding to the work.

Find the work done by the force field F(x,y,z)=6xi+6yj+7k on a
particle that moves along the helix r(t)=5cos(t)i+5sin(t)j+7tk, 0 ≤
t≤ 2π

find the work done in the force camp F(x,y,z)=<xz,xy,zy> in a
particle that moves along the curve <t^2,-t^3,t^4> for 0
<= t <= 1
THE
F is F(x,y,z)= <xz,yx,zy>

Find the work done by the force field
F(x,y,z)=2xi+2yj+7kF(x,y,z)=2xi+2yj+7k
on a particle that moves along the helix
r(t)=3cos(t)i+3sin(t)j+4tk,0≤t≤2π

Given the force field F(x, y) = (x − y, 4x + y^2 ), find the
work done to move along a line segment from (0, 0) to (2,0), along
a line segment from (2,0) to (0,1), and then along another line to
the point (−2, 0). Show your work.

Using Stoke's Thm, find the work done by the vector field F(x,
y, z) = 〈z, x, y〉, that moves an object along the triangle with
vertices P(1, 0, 0), Q(0, 1, 0), R(0, 0, 1), in a counterclockwise
manner, starting and ending at P.

Calculate work done by particle by force field along the x axis
from (-2,0) to (2,0) when F(x,y) = (x,x^3 +y^2) and
y=root(4-x^2).

Find the work done by the following force field
F(x, y) = 7(y +
2)5 i + 35x (y +
2)4 j
in moving an object from P(6, −2) to Q(5, 0),
along any path

Find the work done by the force ﬁeld F(x,y,z) = yz i + xz j + xy
k acting along the curve given by r(t) = t3 i + t2 j + tk from the
point (1,1,1) to the point (8,4,2).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 8 minutes ago

asked 30 minutes ago

asked 35 minutes ago

asked 47 minutes ago

asked 52 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago