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

A varable force, given by the 2- dimensional vector overlineF=(3xx^(2)hati+4 hatj), acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates (2,3) to (3,0) (The coornates are in metres)

A varable force, given by the 2- dimensional vector overlineF=(3xx^(2)hati+4 hatj), acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates (2,3) to (3,0) (The coornates are in metres)

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. 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 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

A force F=(3xhati+4hatj) Newton (where x is in metres) acts on a particle which moves from a position (2m, 3m) to (3m, 0m). Then the work done is

A single conservative force acting on a particle varies as vecF=(-Ax+Bx^2)hatiN , where A and B are constants and x is in meters. (a) Calculate the potential energy function U(x) associated with this force, taking U=0 at x=0 . (b) Find the change in potential energy and the change in kinetic energy of the system as the particles moves from x=2.00m to x=3.00m .