6. Find the work done by the force F = 31 – 5j in moving an object from the point (2, 2) to the point (7, –13).

Q: Find the work done by the force F = y2i + x3j, where force is measured in newtons, in moving an…

A: To determine the work done by the force.

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: If the electric potential at a point (x, y) in the xy-plane is V(x, y), then the electric intensity…

A:

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: 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: Given a cubic force in one dimension: F = a(x – a) (x – b) (x – c), find the coefficient k in the…

A: Substitute x=b+∈ F=αx-ax-bx-c  =αb+∈-ab+∈-bb+∈-c  =α∈∈+b-a∈+b-c  =α∈∈2b-a+b -c∈b-ab-c…

Q: 9. Find the work done by the force F(x, y, z) = e³i + ln(x)j + 3zk, in moving an object over the…

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 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: Suppose that a particle following the path c(t) = (t,t – 5t,0) flies off on a tangent at to = 3.…

A: Given:c(t) = (t2 , t3-5t , 0)

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: 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)

A:

Q: السؤال 6 The electro static force given by (ke^2)/r^2, where k=1/ (4nE) 0 صواب İhi

A: False

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: Show that ¥(x,t)= Asin(wt+kx) describes a wave motion

A: Given: ψx,t=Asinwt+kx

Q: 5. An object moves along the curve r(t) (Vi, 1/Vi,) 1<ES 4, subject to the force F= In 2+ 11/3 (y,…

A: Explanation of the answer is as follows

Q: A particle's position vector is given by: F(t) = R(1+ cos(wot + q cos wot))& + R sin(wnt + q cos…

A:

Q: Given that the material components of the displacement vector U (see Fig. 2.6) are: U₁ = X₁ X₂²,…

A: As per the question we are given the displacement vector U and from that we have to find the…

Q: 21 Work Find the work done by the force F = xyi + (y – x)j over the straight line from (1, 1) to (2,…

A:

Q: Find the work done by the force F = 5i + 25j in moving an object from (0, 0) to (1, 6).

A: Using formula of work done,

Q: find the distance d(u, v) between u and v in the given exercise.

A: We need to find the distance between the two vectors.

Q: Q1:- Find the domain of the following vector fumctions:- (a) f(t) = (cos nt)i - Ln(t)j + Vt-2k (b)…

A:

Q: Suppose an object moves from (-1,2) to (1, 4) along the path r(t) = (t2,t ), |3D subject to the…

A:

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

A:

Q: 4. Determine the resultant of the forces: F, = 440 N [N29°E] and F2 = 275 N [S23°E]. %3D Answer:

A: By using vector addition.

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: 4- An object moves along the line segment from (0, 0,0) to (3, 6, 10), subject to the force F = (z²,…

A: work done = ∫abF→.dr→

Q: Find the work done by the force F = 7i − 9j in moving an object from the point  (8, 8)  to the…

A: Work done= Force X Displacement

Q: Find the work done by the force F= 6i – 2j in moving an object from the point (1, 7) to the point…

A: Work done by force F→ in moving object from point P to point Q is given by F→.PQ→ , where PQ→ = OQ→…

Q: Ex.9 The work of the force F(x, y) = (x², xy²) along the boundary of the square [0, 1] x [0, 1]…

A: The given work force is Fx,y=x2,xy2 along the boundary of the square 0,1×0,1, counterclockwise…

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 in moving an object from P to Q. F = 200i + 45j; P(-1, 1), Q(300,…

A:

Q: 2. The block shown in Figure 2 is acted on by its weight W= 400 lb, a horizontal force F= 600 lb,…

A:

Q: Let r(t) = (sin 2t ,3t, cos 2t), -n SIST, a) Is speed always constant? b) Show that the velocity and…

A:

Q: 5. Show that the equation of the tangent plane to f(r, y, z) = c at (ro, Yo: 20) is given by the…

A: This is the question from vectors.

Q: If a force F-2i -3j+k acts at the point (1,5,2), then the torque about z-axis is 13k 13 -13

A:

Q: 2. Given the space curve .N(77). ² B r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4

A: Consider the space curve, r→t=2cos2t , 2sin2t, 3t  To find the unit vectors T→π4 , N→π4 , B→π4 Here…

Q: F(x, y) = (3x-4y2i+6yj by the force in moving a particle in the positive direction once around the…

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: (b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane %3D z = 0.…

A: As per our guidelines, we can only solve first question and rest can be reposted. The solution for…

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 done for a force F 36 N from x =2 to x =6 m. %3D

A: Here we have to find the work done by the given force on the given interval. Here we use integration…

Q: For the velocity field V =2xyi + 4tz?j – yzk, The acceleration at the point ](2, 21, 1) att = 2] =…

A: