Find the work done by the force F = (3, 1, 5) in moving a particle from position P= (1, 2, 3) to position Q = (2, 4, 4).

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

A:

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 q=5i+2j to move a body along the displacement from the points A(1,1,0)…

A:

Q: Compute the work done by the force field F = in moving a particle along the line segment from (1, 1)…

A:

Q: What is the flux of the vector field F(x, y, z) = [9y, 2xy, 4yz + 234xy] through the unit cube [0,1]…

A: We find the flux of the vector field F(x, y, z) = [9y, 2xy, 4yz + 234xy] through the unit cube [0,1]…

Q: Find llFll and sketch several representative vectors in the vector field.

A:

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…

A:

Q: Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi…

A:

Q: Find the work done by the force field F(r, y) = (2ry², 2x²y + 1) in moving a particle along any path…

A: The given force field is:  F(x,y)=2xy2, 2x2y+1

Q: Find the work done by the force F = xyi + (y - x)j over the straight line from (1,- 2) to (2, - 4).

A:

Q: Find the flux out of the unit shpere for the vector field F(2,4, ;) = 1ā+3+K). %3D r answer =

A: Flux of F through the closed surface S is ∫∫sF→·n→dsS is the unit sphere x2+y2+z2=1Letϕ:…

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 on a particle moving along the given path. F(x, y, z) = yzi…

A:

Q: Find the flux of the vector fleldF = (x – y*)i+ 4yj + x'k out of the rectangular solid [0, 1] x [1,…

A:

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

A:

Q: - Given the vector fields Å = yz az – 3x a, +x²y a, B = 3 a, – 4xy a, +y² az Petermine a unit vector…

A: Given that: A→=yzax-3xay+x2yazB→=3ax-4xyay+y2az

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

A:

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: Determine the work done by the force field F(x, y, z) = (x − y2, y −z2 , z − x2) on a particle that…

A:

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

A:

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

A:

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:

Q: A rigid body is acted on by two forces, R =ai +bj - 3 at the point (1,2,-1) and F =i+aj+bkat the…

A: Given a rigid body is acted by two forces F1=ai^+bj^-3k^ at the point 1,2,-1 F2=i^+aj^+bk^ at the…

Q: Calculate the work done by the force F(x, y) = y?î+ xyj in moving a particle along the line which…

A:

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

A:

Q: Find the work done by the force field F→(x,y)=54x^2y^2i→+(36x^3y−2)j→in moving an object from the…

A:

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:

Q: Calculate the work done in moving a particle in the force field F = 3x2î+ (2xz-y)ĵ+ z k along a…

A:

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: 1.A particle moves once counter clockwise about the triangle with vertices (0,0), (4,0) and (1,6),…

A:

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…

A:

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: Show that the work done by a constant force field F = a i + b j + c k in moving a particle along any…

A:

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,…

A:

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)…

A:

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…

A:

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

A:

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

A: First you will calculate the displacement which is equal to final position minus initial position.…

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

A:

Q: Find the work done by the force field F in moving an object from P(-9, 5) to Q(3, 5). F (r, y)

A:

Q: 2. Determine the resultant R of the two forces by a. Applying the parallelogram rule b. Summing…

A:

Q: Consider a beam of length 10m and negligible mass, modelled as a rigid body in the x-direction from…

A: Here I am attaching image so that you understand each and every step.

Q: (b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane z = 0. It is…

A:

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

A:

Q: Find the work done by the force F(x, y, z) = (x, —z, 2y) in moving straight from (0,0,0) to (1,1,0),…

A:

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…