Question
In: Advanced Math
Find the work done in moving a particle once around an ellipse C in the XY-...
Find the work done in moving a particle once around an ellipse C in the XY- plane if the ellipse has a center at the origin with semi-major axis p and semi-minor axis 2p and if the force field is given by F= (3x - 4y + 2z)i + (4x +2y - 3z^2)j + (2xz - 4y^2+z^3)k . where p=4
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Colby Messinger answered 2 years agoRelated Solutions
Find the work done by the force field F in moving a particle through the path...
Find the work done by the force field F in moving a
particle through the path C. That is, find Where
C is the compound path given by r(t)=<t,0,t> from (0,0,0) to
(2,0,2) followed by r(t)=<2,t,2> from (2,0,2) to
(2,2,2)
A particle is moving with the given data. Find the position of the particle. a(t) =...
A particle is moving with the given data. Find the position of
the particle. a(t) = 11 sin(t) + 3 cos(t), s(0) = 0, s(2π) = 18
Find the work done by the force field F(x,y) = <2xy-cosx,ln(xy)+cosy> along the path C, where...
Find the work done by the force field F(x,y) =
<2xy-cosx,ln(xy)+cosy> along the path C, where C starts at
(1,1)(1,1) and travels to (2,4)(2,4) along y=x^2, then travels down
to (2,2)(2,2) along a straight path, and returns to (1,1)(1,1)
along a straight path. Fully justify your solution.
The vector position of a 3.70 g particle moving in the xy plane varies in time...
The vector position of a 3.70 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and
r
is in centimeters. At the same time, the vector position of a
5.80 g particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of
the system at t = 2.90 s.
rcm =
cm
(b)...
The vector position of a 3.95 g particle moving in the xy plane varies in time...
The vector position of a 3.95 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.70 g
particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)Determine the vector position (in cm) of the center of mass
of the system at t = 2.90 s.
rcm = cm
(b)Determine the...
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r1 = 3i + 3j t + 2jt2 where t is in
seconds and r is in centimeters. At the same time, the vector
position of a 5.00 g particle varies as r2 = 3i − 2it2 − 6jt. (a)
Determine the vector position of the center of mass at t = 2.40.
(b) Determine the linear momentum of the system at...
The vector position of a 3.05 g particle moving in the xy plane varies in time...
The vector position of a 3.05 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.15 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.60 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
A particle is moving with the given data. Find the position of the particle. v(t) =...
A particle is moving with the given data. Find the position of
the particle. v(t) = sin(t) − cos(t), s(0) = 4
Find the work done by the vector vield F(x, y) = 3x+3x2y, 3y2x+2x3 on a particle...
Find the work done by the vector vield
F(x, y)
=
3x+3x2y,
3y2x+2x3
on a particle moving first from
(−3, 0),
along the x-axis to (3, 0), and then returning
along
y =
9 −
x2
back to the starting point.
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