A particle is being acted upon by one dimensional conservative force. In the `F-x` curve shown, four points `A,B,C,D` are marked on the curve. State which type of equilibrium is the particle have at position `c`.
.

In the following figure, four curves A,B, C and D are shown. The curves are

Potential energy v//s position curve for one dimensional conservative field is shown. Force at A and B is respectively.

As a particle moves along the x- axis, it is acted upon by a conservative force. The potential energy is shown below as a function of the coordinate x of the particle. Rank the labelled regions accoeording to the magnitude of force, least to greatest.

A particle is given velocity v_0 at point A as shown in the figure. Find the speed of particle at point B,C and D

(a) A particle is moving along the x axis and its velocity vs position graph is as shown. Is the acceleration of the particle increasing, decreasing or remains constant? (b) A particle is moving along x axis and its velocity (v) vs position (x) graph is a curve as shown in the figure. Line APB is normal to the curve at point P. Find the instantaneous acceleration of the particle at x = 3.0 m .

A particle of mass 3 kg moves in aone dimensional field along x-axis. The force due to the field depends on its position as F= 729 x^(6) - 64 . Find the state equilibrium position. Determine the time period of osciallations for small amplitude osciallations about the stable equlibrium position.

There exists a uniform electric filed in the space as shown. Four points A, B, C and D are marked which are equildistant from the origin. If and V_(D) are their potentials respectively, then

A particle is acted upon by a force which varies with position x as shown. F is in N and x is in m F 10 5 X 2 -10