Question

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

Answer #1

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

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 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)

find the work done by the force field f(x,y)= <
x2+y2, -x > on a particle that moves along
the curve c: x2+y2=1, counterclockwise from
(0,1) to (-1,0)

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).

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.

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

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).

Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i + y cos(x 2 + y 2 −
z 2 )~j − z cos(x 2 + y 2 − z 2 ) ~k be the force acting on a
particle at location (x, y, z). Under this force field, the
particle is moved from the point P = (1, 1, 1) to Q = (0, 0, √ π).
What is the work done by...

The force exerted by an electric charge at the origin on a
charged particle at a point (x, y, z) with position vector r = x,
y, z is F(r) = Kr/|r|3 where K is a constant. Find the work done as
the particle moves along a straight line from (3, 0, 0) to (3, 2,
5).

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