3. Find the work done in moving an object along the straight line from (3,2,-4) to (-1, 4, 3) in a force field given by F. [Here you will suppose the force F as your choice ].

Q: Show that work performed by a constant force field F over any path C ~ from P to Q is equal to F •…

A:

Q: Let F be a force field vector in plane, C be the line segment joining 0(0,0) to A(1,2), and C' be…

A: Work done in a closed loop is zero. So if we are going from A to B and coming back to A, then total…

Q: - draw the vector fields . F(xy) = 2xi – yİk

A:

Q: (1) Is the vector field F(x, y) = (2æ*y^ + æ) î + (2a*y³ + y) Î conservative? Support your answer…

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Show that work performed by a constant force field F over any path C from P to Q is equal to F - PÓ.

A: A vector has 2 components, magnitude and direction which is represented by cos and sin angles. A…

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

A:

Q: Given two points A(3, 0) and B(), find the work done by the following force field in moving a…

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 field F in moving an object from P to Q. F(x, y) = x³i + y³j; P(1,…

A: The force field F can be represented as the gradient of the potential field. Work…

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: (b) Suppose C is a curve of length N, and ||F|| < M, where M is some positive number. Prove that ·…

A:

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

A:

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 F = xyi + (y - x)j over the straight line from (1,-3) to (3,-9).

A: Given force is F→=xyi^+y-xj^ and straight line coordinates are 1,-3 and 3,-9

Q: Find the work done by the force F = 7i - 3j in moving an object from the point (2, 2) to the point…

A:

Q: Let F be a force field vector in plane, C be the line segment joining O(0,0) to A(1,2), and C' be…

A: Given ∫C F→·dr = -5.5 where C is the line segment joining O0,0 to A1,2.

Q: Let F be a force field vector in plane, C be the line segment joining O(0,0) to A(1,2), and C' be…

A:

Q: Find the work done by the force field

A: Given: The given function is, With A(1,1) and B(4,4). To find: The work done by the force field F…

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: Find the work done by the force F = 3i − 9j in moving an object from the point (3, 3) to the point…

A: To find work done.

Q: Find the work done by the force F = x²yi– xy²j along the paths shown from (1, 1) to (4, 2). (4, 2) a…

A:

Q: 9. Sketch the vector field F(x, y) : :(yi — х). Vx? + y?

A: Consider the given filed, Fx,y=1x2+y2yi−xj Further simplify. Fx,y=yx2+y2i-xx2+y2i=〈yx2+y2,-xx2+y2〉

Q: 5) Find the work done by the force field F(r, y, z) = ri-zj+y k in moving an object along the…

A: Work = Force X Displacement

Q: 6) Find the work done by the force field F(r, y, z) = ri+yjtzk in moving an object along the…

A: Work done = Force * displacement

Q: By experiment, you find that a force field F performs only half as much work in moving an object…

A:

Q: 3 3 Given two points A(3, 0) and B(G,), calculate the work done by the following force field in…

A: Here we have to find out work done by force F.

Q: Calculate the work done by the force field F on an object moving along a curve from P(−3, 9) to…

A:

Q: 6. Find the work done by the force F = 31 – 5j in moving an object from the point (2, 2) to the…

A: Given that the force F=3i-5j moving from the point (2,2) to the point (7,-13). We need to find the…

Q: Let F be a force field vector in plane, C be the line segment joining O(0,0) to A(1,2), and C' be…

A:

Q: 3. The work done by every force field F along the closed curve C is zero (0), i.e. f, F. dr = 0.…

A:

Q: Find the work done by the force F= xyi + (y - x)j over the straight line from (1,2) to (3,6).

A: we have to find the work done by the given force

Q: Q4. A vector field F is defined as F = psin pa,+ 2p² zas + zcos oa,. The V × F at point P(1, 7/2, 2)…

A:

Q: xî + v°}+ z°& x³ + y° + z° Xi + y´ j + z*k ニ

A: The given force field is, F→=x2i^+y2j^+z2k^x3+y3+z3

Q: Find the work done by the force F = xy i + ( y - x)j over the straight line from (1, 1) to (2, 3).

A:

Q: The work done by the force F = in the displacement along the path C: r(t)=from the point (1,0,0) to…

A: To find the work done by a force

Q: Find the work done for a force F = N from x =2 to x =3 m. x2

A:

Q: Q2:show that the force Fexyzi-x4z'k is Conservative. ?

A:

Q: The work done in moving a particle in the force field F= x- i+ 3xy j from (0,0) to (1,2) along the…

A:

Q: If an object moves along the line segment 'c' given by x = t, y = t?, t3 from P(0, 0, 0) to Q(2, 4,…

A:

Q: Find the work done by the force F (x; y) = xyi-(y-x)j over the straight line from (1,1) to (2,3)

A:

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

A:

Q: 4. Find the work done by the force F(r,y,2) = (x,-z,2y) in moving straight from (0,0,0) to (1.1.0),…

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: 3. Consider two charges of Q = 2x10 C at M(2, 1, 3) and a charge of Q =-3×10°C at N(3, 0, 5) in a…

A:

Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

A:

Q: Find the work done by the force field F in moving an object on the line segment from A to B, where…

A: Given, Fx,y=2y32 i +3xy j To find the work done by the force field F in moving an object on the line…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.