Home
Class 11
PHYSICS
The potential energy function associated...

The potential energy function associated with the force `vecF=4xyhati+2x^2hatj` is

A

`U-2x^(2)y`

B

`U=-2x^(2)y+` constant

C

`U=2x^(2)y+` constant

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
B

`F_(x)=-(delU)/(delx) or F_(y)=-(delU)/(dely),` only `(B)` option satisfies the criteria.`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 43|11 Videos
  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 44|5 Videos
  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 41|7 Videos
  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos
  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A single conservative force acting on a particle varies as vecF=(-Ax+Bx^2)hatiN , where A and B are constants and x is in meters. (a) Calculate the potential energy function U(x) associated with this force, taking U=0 at x=0 . (b) Find the change in potential energy and the change in kinetic energy of the system as the particles moves from x=2.00m to x=3.00m .

A conservative force acts on a particle as the particle moves along the positive x-axis from origin origin to x=2m . The force is parallel to x-axis. Now, consider four different cases, as shown in the figures, 1, 2, 3, and 4, where the forces is shown as a function of x. Rank the situations according to the change in potential energy associated with the force, least ( or most negative) to greatest ( or most positive).

The potential energy function for the force between two in a diatomic molecule can approximately be expressed as U(x)=(a)/(x^(12))-(b)/(x^(4)) , where a and b are positive constants, and x is the distance between the atoms. Answer the following question by selecting most appropriate alternative. The graph between potential energy vs x will be

A potential energy function for a two-dimensional force is the form U=3x^2y-7x . Find the force that acts at the point (x,y) .

Assertion: Work done by friction over a closed path is not zero and no potential energy can be associated with friction. Reason: Every force encountered in mechanics have an associated potential energy.

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 (in joules ) function of a particle in a region of space is given as: U=(2x^(2)+3y^(2)+2x) Here x,y and z are in metres. Find the maginitude of x compenent of force ( in newton) acting on the particle at point P ( 1m, 2m, 3m).

Assertion: Frictional forces are conservative forces. Reason: Potential energy can be associated with frictional forces.

Potential energy function along x- axis in a certain force field is given as U(x)=(x^(4))/(4)-2x^(2)+(11)/(2)x^(2)-6x For the given force field :- (i)the points of equilibrium are x=1 , x=2 and x=3 (ii) the point x=2 is a point of unstable equilibrium. (iii) the points x=1 and x=3 are points of stable equilibrium. (iv) there exists no point of neutral equilibrium. The correct option is :-

A particle moves 5m in the +x direction while being acted upon by a constant force vecF = (4 N)hati + (2N)hatj - (4N)hatk . The work done on the particle by this force is