Home
Class 11
PHYSICS
A particle is placed at the origin and a...

A particle is placed at the origin and a force F=Kx is acting on it (where k is a positive constant). If `U_((0))=0`, the graph of `U (x)` verses x will be (where U is the potential energy function.)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A

`U =- int Fdx= - int kx dx= - (kx^(2))/(2)`
at x= 0, U= 0
at `x= pm A, U= (-kA^(2))/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

On a particle placed at origin a variable force F=-ax (where a is a positive constant) is applied. If U(0)=0, the graph between potential energy of particle U(x) and x is best represented by:-

A particle of mass m is executing osciallations about the origin on the x-axis with amplitude A. its potential energy is given as U(x)=alphax^(4) , where alpha is a positive constant. The x-coordinate of mass where potential energy is one-third the kinetic energy of particle is

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, 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) .

The potential energy U for a force field vec (F) is such that U=- kxy where K is a constant . Then

The potential energy of configuration changes in x and y directions as U=kxy , where k is a positive constant. Find the force acting on the particle of the system as the function of x and y.