Force acting on a particle moving in the x-y plane is `vecF=(y^2hati+xhatj)N`, x and y are in metre. As shown in figure, the particle moves from the origin O to point A `(6m, 6m)`. The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A.

Which of the following is correct?

Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Work done for motion along path OA is nearly

Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Now consider another situation. A force vecF=(4hati+3hatj)N acts on a particle of mass 2kg . The particle under the action of this force moves from the origin to a point A (4m, -8m) . Initial speed of the particle, i.e., its speed at the origin is 2sqrt6ms^-1 . Figure shows three paths for the motion of the particle from O to A. If the potential energy at O is 16J , the potential energy at A will be

Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Now consider another situation. A force vecF=(4hati+3hatj)N acts on a particle of mass 2kg . The particle under the action of this force moves from the origin to a point A (4m, -8m) . Initial speed of the particle, i.e., its speed at the origin is 2sqrt6ms^-1 . Figure shows three paths for the motion of the particle from O to A. Speed of the particle at A will be nearly

Force acting on a particle moving in the x-y plane is vec F=(y^(2) hat i + x hat j) N, x and y are in metre. As shown in fig. the particle moves from the origin O to point A(6m,6m) . The figure shows three paths, OLA,OMA and OA for the motion of the particle from O to A . Along which of the three paths is the work done maximum.

Force acting on a particle moving in the x-y plane is vec F=(y^(2) hat i + x hat j) N, x and y are in metre. As shown in fig. the particle moves from the origin O to point A(6m,6m) . The figure shows three paths, OLA,OMA and OA for the motion of the particle from O to A . Work done for motion along path OA is nearly

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.

A force acting on particle is given by vecF=(3x^2hati+4yhatj)N . The change in kinetic energy of particle as it moves from (0,2m) to (1m,3m) is

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=(-7x+24y)J , where x and y are given in metre. If the particle starts from rest, from the origin, then the speed of the particle at t=2 s is

A particle moves in the x-y the accoding to the equatio, r = (hati + 2hatj) A cos omegat . The motion of the particle is