A particle can move along x axis under influence of a conservative force. The potential energy of the particle is given by `U = 5x^2 – 20x + 2` joule where x is co-ordinate of the particle expressed in meter. The particle is released at x = –3 m (a) Find the maximum kinetic energy of the particle during subsequent motion. (b) Find the maximum x co-ordinate of the particle.

The potential energy of a certain particle is given by U = 30x^2 - 20 y^2 . Find the force acting on the particle.

The potential energy of a body of mass m is given by U=ax+by where x,y are position co-ordinate of the particle. The acceleration of the particle is

A particle of mass m = 1 kg is free to move along x axis under influence of a conservative force. The potential energy function for the particle is U=a[(x/b)^(4)-5(x/b)^(2)] joule Where b = 1.0 m and a = 1.0 J. If the total mechanical energy of the particle is zero, find the co-ordinates where we can expect to find the particle and also calculate the maximum speed of the particle.

Potential energy of a particle along x-axis varies as U = - 30 + (X-2)^2 , where U is in joule and x is in meter. Hence the particle is in

The potential energy of the moving particle along x-axis is given by U=20+5sin (4pix) where U is in joule and x is in metre under the action of conservative force.

The potential energy of a particle under a conservative force is given by U ( x) = ( x^(2) -3x) J. The equilibrium position of the particle is at

The potential energy of a particle under a conservative force is given by U ( x) = ( x^(2) -3x) J. The equilibrium position of the particle is at

The potential energy U in joule of a particle of mass 1 kg moving in x-y plane obeys the law U = 3x + 4y , where (x,y) are the co-ordinates of the particle in metre. If the particle is at rest at (6,4) at time t = 0 then :

The potential energy U in joule of a particle of mass 1 kg moving in x-y plane obeys the law U = 3x + 4y , where (x,y) are the co-ordinates of the particle in metre. If the particle is at rest at (6,4) at time t = 0 then :