A particle which is constrained to move along x - axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as `F(x)=kx + ax^(3)`. Here, k and a are positive constants. For `x ge 0`, the functional form of the potential energy U (x) of the particle is

A particle which is constant to move along the x- axis , is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -Kx + ax^(3) . Hero K and a are positive constant . For x ge 0 , the fanctional from of the patential every U(x) of the particle is

A particle, which is constrained to move along x-axis, is subjected to a force in the some direction which varies with thedistance x of the particle from the origin an F (x) =-kx + ax^(3) . Here, k and a are positive constants. For x(ge0, the functional form of the potential energy (u) U of the U (x) the porticle is. (a) , (b) , (c) , (d) .

A particle, which is constrained to move along the x-axis, is subjected to a force from the origin as F(x) = -kx + ax^(3) . Here k and a are origin as F(x) = -kx + ax^(3) . Here k and a are positive constants. For x=0 , the functional form of the potential energy U(x) of particle is.

The kinetic energy of a particle moving along x-axis varies with the distance x of the particle from origin as K=(A+x^3)/(Bx^(1//4)+C) .Write the dimensional formula for A^2B

A particle free to move along x-axis is acted upon by a force F=-ax+bx^(2) whrte a and b are positive constants. For ximplies0 , the correct variation of potential energy function U(x) is best represented by.

A particle constrained to move along x-axis given a velocity u along the positive x-axis. The acceleration ' a ' of the particle varies as a = - bx, where b is a positive constant and x is the x co-ordinate of the position of the particle . Then select the correct alternative(s): .

A force F=-k/x_2(x!=0) acts on a particle in x-direction. Find the work done by this force in displacing the particle from. x = + a to x = 2a . Here, k is a positive constant.