The potential enery of a particle varies with posiion `x` according to the relation `U(x) = 2x^(4) - 27 x` the point `x = (3)/(2)` is point of

The potential energy of a particle varies with x according to the reltiaon U(x) =x^(2)-4x . The point x =2 is a point of

Potential energy of a particle varies with x according to the relation U(x)=x^(2)-4x .The point "x=2" is a point of

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

The potential energy of a 4kg particle free to move along the x-axis varies with x according to following relationship : U(x) = ((x^(3))/(3)-(5x^(2))/(2)+6x+3) Joules, where x is in meters. If the total mechanical energy of the particle is 25.5 Joules, then the maximum speed of the particle is x m//s , find x

The disperod of a particle varies according to the relation x=4 (cos pit+ sinpit) . The amplitude of the particle is.

A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression U=(a)/(x^2)-(b)/(x) , where a and b are positive constant. The particle will perform.

The displacement of the particle varies with time according to the relation x=(k)/(b)[1-e^(-ht)] . Then the velocity of the particle is

The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at

The displacement x of a particle varies with time according to the relation x=(a)/(b)(1-e^(-bt)) . Then select the false alternative.