Figure shows a plot of potential energy function `U(x) = kx^2` where x=displacement and k=constant. Identify the correct conservative force function F(x)

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose tha E_("mech") = 8 J, the incorrect statement for this system is : A. at x > x_4 , K.E. is constant throughout the region. B. at x C. at x = x_2 , K.E is greatest and the particle is moving at the fastest speed. D. at x = x_3 , K.E. = 4 J

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Prove that the constant function f (x)= k, where k is a constant, is continuous

The potential energy function of a particle in the x-y plane is given by U =k(x+y) , where (k) is a constant. The work done by the conservative force in moving a particlae from (1,1) to (2,3) is .

The potential energy function of a particle in the x-y plane is given by U =k(x+y) , where (k) is a constant. The work done by the conservative force in moving a particlae from (1,1) to (2,3) is .

The function f(x)= "sin"x-kx-c , where k and c are constants, decrease always when

Figure given below shows the variation of potential energy function U(x), corresponding to a particle lying in a one dimensional force field. The force acting on the particle at x = 2 m is: