Find the work done by a force q=5i+2j to move a body along the displacement from the points A(1,1,0) to B(4,3,0)?

Q: Find the work done by a force F = 6ỉ + 5j– 3k when a particle moves from point P(-3, 4, 5) to point…

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Q: 4. Find the work done by the force field F (x,y) = (x + y)î + (xy)ĵ in moving a particle along the…

A: The force field is given by F→ = x+yi^+xyj^ The end points of the straight line along which the…

Q: Find the work done by the force F = 9xy i + 6yj acting along the piecewise-smooth curve consisting…

A: Given that F=9xy i+6y2 j Let r=xi+yj+zk ⇒dr=dx i+dy j+dz k Now,  F.dr=(9xy i+6y2 j+0k)(dx i+dy j+dz…

Q: Find the work done by a force F = 4i + 9j (in N) in moving an object in a straight line from point…

A: Given:           F=4i+9j

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 4y³/2 i + 6x√y j…

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Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = x°i + y°j; P(1,…

A: Here, the objective is to find the work is done by the force field F in moving an object from P to…

Q: Find the work done by the force F (r, y) = yxi– (x – y) j over the straight line from (1, 1) to…

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Q: Calculate the work done by the force field F (x, y) = (x ^ 2, ye ^ x) on a particle that moves along…

A: Given:

Q: Find the work done by the force F(x, y) = acting on a point along the smooth curve C, where C is the…

A: The given question is from the topic of Advanced Calculus

Q: Find the work that is done by the force F = (x + y)î + xyj – z?k acting on a particle that moves…

A: Convert function into parametric function. Then find work done by doing line integration.

Q: Find the work done by the force field F(r, y) = x²i+ xyj on a particle that moves once around the…

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Q: Find the work done by the force F in mving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

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Q: Determine the work done by the force F"(x,y,z)=(x²y,xy). to move a particle along the line segment…

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Q: Find the flux of the vector field F = (y, - z, x) across the part of the plane z = 4+ 2x + 3y above…

A: The given vector field is, F→=y, -z,  x. The given part of the plane is z=4+2x+3y And the rectangle…

Q: Find the work done by the force field  F(x, y, z) = y + z, x + z, x + y  on a particle that moves…

A: Given that the force field,

Q: How much work is required to move an object in vector force field F = (yz, xy, xz) along path r (t)…

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Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 6y3/2 i + 9xyj…

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Q: Evaluate fc F • dr, where F = (z, y2, x) and C is parametrized (in the positive direction) by r(t) =…

A: F=z,y2,x and C is the parametrized by r(t)=t+1,et,t2 for 0<t<2. We have to evaluate ∫CF·dr.

Q: Find the work done by the force field F(x, y, z) = (y + z, x + z, x + y) on a particle that moves…

A: It is known that

Q: Compute the work done by the force field F(r, y) = (2, 3r) acting on an object as it moves along the…

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Q: Determine the acceleration (vector and magnitude) of the fluid particle occupying the point (-2, 1,…

A: Given: Given point (-2,1,1) and t=2 s V=2xyi+xzj+yzk    m/s

Q: Find the outward flux of the vector field F = (x°, y°, z²) across the surface of the region that is…

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Q: Determine if the vector filed is conservative and if so find the potential function F (x, y) = 12xyi…

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Q: A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t)…

A: Given that: γt=−costi+sintj; t∈0,π F=x2+y2τ, τ is the unit vector tangential to the path. To…

Q: Find the work done by the force field F(x,y) = (-y,x) in moving an object along the path y = V4 – x2…

A: Given force field Fx,y=−y,x and object moving along the path y=4−x2  from 2,0 to -2,0. We have to…

Q: F= (e* – y+ xcosh(x))i+ (y³/2 + x)j.

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Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e-Y i - xe-Y j…

A: Given that, Vector field is, F(x, y) = e-yi - xe-yj The points are, P(0, 8)  and  Q(2, 0) We have to…

Q: Find the work done by the force field F(x, y) = x* +y? on a particle that moves along the quarter…

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Q: The cable AB prevents bar OA from rotating clockwise about the pivot O. If the cable tension is 670…

A: In the given figure let the length AB = x m. and angle(OAB) = theta. The angle (BOA) = 180° - 53° =…

Q: Determine the acceleration (vector and magnitude) of the fluid particle occupying the point (-2, 1,…

A: The acceleration vector is,                              a =ax + ay +az  where…

Q: Compute the flux of F = (r, y, z*) across the cone z = x2 + y?, %3D 0<<1, in the downward direction.

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Q: Find the work done by the force field F(x, y, z) = (y + z, x + z, x + y) on a particle that moves…

A: Given To find the work done by the force field Fx,y,z=(y+z,x+z,x+y)  on a particle that moves along…

Q: Find the work done in a moving particle along the closed path (0,0) → (2,2) → (2,4) → (0,6) under…

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Q: Find the flux of the vector field F = (y, – z, x) across the 2 + 4x + 3y above the rectangle part of…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 3+ 4x + 2y above

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Q: Three coplanar forces are given as follows: A = 4N eastward, B = 10 N at 125°, and C = 15 N at 220°.…

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Q: Find the work done by the force F in moving an object from P to Q. F = 200i + 45j; P(-1, 1), Q(300,…

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Q: Find the work done by the force field F in moving an object from P(-9, 7) to Q(3, 3). 2.x. F (r, y)…

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Q: Find the work done by the force field F in moving an object from P(-4, 8) to Q(6, 4). F(x,y) = 2* 1…

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Q: Find the work done in moving a particle in the force field F = (2r + y)i + (3y – 2)j along the…

A: Work done in moving a particle in the force field along along the curve C is:  ∫CF→·dr→ here F→ is…

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) %3D 2y3/2 i + 3x/у…

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Q: Without using a potential function, find the total work performed by the force field F(x, y) =…

A: Work done by vector field while moving a particle along a curve = Line integral of that vector field…

Q: Q7) The work done by the force F = 2j to move a particle from the origin to the point (3,3,3) is:

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Q: 1. Calculate the work done when a force F = 3xyî – y?j moves a particle in the xy-plane from (0,0)…

A: Take dot product along limit of integration and integrate

Q: Determine the force being experienced by a 2-microcoulomb charge at (-2,4,6) m due to another point…

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Q: Find the work done by the force field F(z,y,2) = Ir+v,rs, y+:) on a particle that moves along the…

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Q: Find the work done by the force field F(x, y, z) = (x – y², y – z², z – x2) on a particle that moves…

A: We have to find the work done by the force field F(x,y,z)=&lt;x-y2, y-z2, z-x2&gt; on a particle…

Q: Find the work done by the force F(r) = x2 +1 in moving a particle along the T-axis from r = 0 to r…

A: The work done by a variable force F(x) in moving a particle along the x-axis is given by the…

Q: Find the constants a, b, c so that the vector à = (-5x – 6y + az)i + (bx + y – 2z)j + (-3x + cy –…

A: Given the vector  A→=-5x-6y+azi→+bx+y-2zj→+-3x+cy-4zk→ Since the vector is irrotational the curl…