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 :

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

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)yhat(j) on the particle along these paths. Is this force a conservative force ?

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 + 2 alpha xhatj)N , where x and y are in meter and alpha = -1Nm^(-1) . The work done on the particle by this by this force will be Joule.

What is the work done when a force vec F =2hati +3hatj-5hatk units acts on a body, producing a displacement vec S =2hati+4hatj+3hatk units ?

A force vec(F)=(-y hat(i)+ x hat(j))N acts on a particle as it moves in an anticlockwise circular motion in x-y plane. The centre of the circle is at the origin. If the work done by the force is 32 pi J in one complete revolution then asSigmaing x, y to be in meters, find the radius of the path.

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 body is displaced from prigin to (1m,1m) by force F=(2yhati + 3x^(2)hatj) along two paths (a) x=y (b) y=x^(2) Find the work done along both paths.

A body is displaced from prigin to (1m,1m) by force F=(2yhati + 3x^(2)hatj) along two paths (a) x=y (b) y=x^(2) Find the work done along both paths.