A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force `vecF= (alpha y hati +2alpha x hatj)N`, where x and y are in meter and `alpha = -1 Nm^(-1)`. The work done on the particle by this force `vecF` will be _____ Joule.

A particle moves 5m in the +x direction while being acted upon by a constant force vecF = (4 N)hati + (2N)hatj - (4N)hatk . The work done on the particle by this force is

The work done by the force vec(F)=A(y^(2) hati+2x^(2)hatj) , where A is a constant and x & y are in meters around the path shown is :

A particle is moved foom the orgin A, back to the origin, along the path ABCDEFA as shown in figure (A) Find the work done by the force vecF=y hati+zhatj+xhatk acting on the particle, in the round trip? (B) Is the force given in part (A) conservative?

If f = alpha y hat(i)+2alpha x hat(j) calculate the work done if a particle moves along path as shown in (given alpha=1 ).

A force vecF=xhati+y^(2)hatjN acts on a particle and the particle moves from (1,2) m to (–3,4) m . Find work done by the force vecF .

Particle moves from point A to point B along the line shown in figure under the action of force. evc F = - x hati + y hatj . Determine the work done on the particle by vec F in moving the particle from point A to point B.

A particle is moved along the different paths OAC, OBC & ODC as shown in the figure . Path ODC is a parabola , y=4x^(2) . Find the work done by a forc vec(F)=xyhat(i)+x^(2)y on the particle along these paths. Is this force a conservative force ?

A particle constrained to move along the Y axis of a co-ordinate system is subject to a constant force vecF=(5hati+4hatj-3hatk) newton. What is the work done by this force, in movong the particle trough 5 m along the Y-axis?

A particle moves in x-y plane from (0,0) to (a,a) and is acted upon by a force vecF=k(y^(2)hati+x^(2)hatj)N , where k is a constant and x and y are coordinates in meter. Find work done by this force, if the particle moves along Two straight lines first from (0,0) to (a,0) and then from (a,0) to (a,a)

A force acting on a particle moving in the x-y plane is given by vecF=(2yhati+x^2hatj)N , where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m as shown in figure. Calculate the work done by vecF on the particle as it moves along (a) OAC, (b) OBC, and (c) OC. (d) Is vecF conservative or non-conservative? Explain.