Question

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)

Answer #1

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)=6xi+6yj+7k on a
particle that moves along the helix r(t)=5cos(t)i+5sin(t)j+7tk, 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.

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 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

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.

1) Find the arclength of y=4x+3 on 0≤x≤3
2) Find the arclength of y=3x^3/2 on 1≤x≤3
3) The force on a particle is described by 5x^3+5 at a point xx
along the x-axis. Find the work done in moving the particle from
the origin to x=8
4) Find the work done for a force F =12/x^2 N from x =2 to x =3
m.
5) A force of 77 pounds is required to hold a spring stretched
0.1 feet beyond...

Use Green's Theorem to find the counterclockwise circulation
and outward flux for the field
F=(3x−y)i+(y−x)j and curve C: the square bounded by x=0,
x=4,y=0, y=4.
find flux and circulation

Find the work done by F(x,y)= <3x^2y+1, x^3+2y> in moving
a particle from P(1,1) to Q(2,4) across the curve y=x^2. Please
explain your steps. ````

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 8 minutes ago

asked 18 minutes ago

asked 22 minutes ago

asked 32 minutes ago

asked 40 minutes ago

asked 46 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago