Change In Potential Energy

Assertion : When two positive point charges move away from each other, then their electrostatic potential energy decreases. Reason : Change in potential energy between two points is equal to the work done by electrostatic forces.

Match the following : {:(,"Column-I",," Column-II"),("(A)","Work done by all the forces",,"(P)Change in potential energy"),("(B)","Work done by conservative forces",,"(Q) Change in kinetic energy"),("(C)","Work done by external forces",,"(R) Change in mechanical energy"),(,,,"(S) None"):}

STATEMENT-1: Work done by the net force acting on a particle is equal to the change in its kinetic energy. STATEMENT-2: Change in potential energy is always equal to the work done by external forces. STATEMENT-3: Work energy theorem is not applicable, if the work is done by the non-conservative forces

Assuming that tha gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass m, when taken to a height h from the surface of earth (of radius R), is given by

A small mass m starts from rest and slides down the smooth spherical surface of F. Assume zero potential energy at the top. Find (a) the change in potential energy, (b) the kintic energy, (c) the speed ot the mass as a function of the angle theta made by the radius through the mass with the vertical.

A positive charge 'Q' is fixed at a point A negatively charged particle of mass ' 'm' and charge 'q' is revolving in a circular path of radius r_(1) ,with Q' as the centre.The change in potential energy to change the radius of the circular path from r_(1) to r_(2) in joule 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 .

A parallel-plate capacitor of plate area A and plate separation d is charged by a ideal battery of e.m.f. V and then the battery is disconnected. A slab of dielectric constant 2k is then inserted between the plates of the capacitor so as to fill the whole space between the plates. Find the change in potential energy of the system in the process of inserting the slab.

A charge is moved in an electric field of a fixed charge distribution from point A to another point B slowly. The work done by external agent in doing so is 100J . What is the change in potential energy of the charge as it moves from A to B ? What is the work done by the electric field of the charge distribution as the charge moves from A to B ?