A particle is released from rest at origin.It moves under influence of potential energy `U=(x^(2)-3x)` ,the kinetic energy at `x=2m` is

Potential energy of a particle in SHM along x - axis is gives by U = 10 + (x - 2)^(2) Here, U is in joule and x in metre. Total mechanical energy of the particle is 26 J . Mass of the particle is 2kg . Find (a) angular frequency of SHM, (b) potential energy and kinetic energy at mean position and extreme position, (c ) amplitude of oscillation, (d) x - coordinates between which particle oscillates.

A particle of mass m and charge q is released from rest in uniform electric field of intensity E. Calculate the kinetic energy it attains afect moving a distance x between the plates.

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.

A particle is moving from a point (2m, 3m) to (1m, 1m) under the influence of force with potential energy U = lambda (x + y) . If work done by the force is n lambda , then find the value of n.

A particle is constrained to move in the region x ge 0 and its potential energy is given by U=2x^(4)-3x^(2)J (where x is in m) For what values of x, the particle is under Unstable equilibrium

A particle is constrained to move in the region x ge 0 and its potential energy is given by U=2x^(4)-3x^(2)J (where x is in m) For what values of x, the particle is under Stable equilibrium

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

A conservative force F(x) act on a 1kg particle. The potential energy U(x)=(x-4)^(2) , At x=5 ,particle has kinetic energy of 24J .The greatest value of x to which particle can move is

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