A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by `-kx^2 hat i.` If the particle starts from rest at `x=a,` the speed it will attain when it crosses the origin is

A particle of mass m moves on the x-axis under the influence of a force of attraction towards the origin O given by F=-(k)/(x^(2))hat(i) . If the particle starts from rest at x = a. The speed of it will attain to reach at distance x from the origin O will be

A particle of mass m moves on the x-axis under the influence of a force of attraction towards the origin O given by F=-(k)/(x^(2))hat(i) . If the particle starts from rest at x = a. The speed of it will attain to reach at distance x from the origin O will be

A particle is moving along x-axis from x = 0 to x = 5 under the influence of force F = 7-2x + 3x^2 .

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

A particle moves along the x-axis from x=0 to x=5m under the influence of a given by F =7-2x + 3x^(2) . The work done by the applied force to the particle 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

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