Home
Class 11
PHYSICS
A particle in a certain conservative for...

A particle in a certain conservative force field has a potential energy given by `V=(20xy)/z`. The force exerted on it is

A

`((20y)/(z))hati+((20x)/(z))hatj+((20xy)/(z^2))hatk`

B

`-((20y)/(z))hati-((20x)/(z))hatj+((20xy)/(z^2))hatk`

C

`-((20y)/(z))hati-((20x)/(z))hatj-((20xy)/(z^2))hatk`

D

`((20y)/(z))hati+((20x)/(z))hatj-((20xy)/(z^2))hatk`

Text Solution

Verified by Experts

The correct Answer is:
B
`U = (20 xy)/(z)`
`F = -[(delU)/(delx)hati+(delU)/(dely)hatj+(delU)/(delz)hatk]`
`=(-20y)/zhati-(20x)/z hatj+(20 xy)/z^2 hatk`
Promotional Banner

Similar Questions

Explore conceptually related problems

The relation between conservative force and potential energy U is given by :–

In a conservative field at stable equilibrium potential energy is:

Conservative Force||Potential Energy Relations

A particle moves in one dimension in a conservation force field. The potential energy is depicted in the graph below. If the particle starts to move from rest from the point A , then

The potential energy ‘V’ of a particle moving along the positive x-direction in a conservative force field varies as shown in the figure. The total energy is E=2. Draw the corresponding kinetic energy K vs x graph.

Assertion: Frictional force are conservative forces. Reason: Potential energy change can be assorciated with frictional forces.

A particle of mass m=3 kg is moving on a straight line in a conservative force field in which the potential energy associated with the particle is given by U(y)=2y^(2)-30y+450 . At t=0 , particle is at y=8m and moving towards positive y - axis with 1m//s

A particle is moving in a conservative force field from point A to point B.U_(A) and U_(B) are the potential energies of the particle at point A and B and W_(C) is the work done by conservative forces in the process of taking the particle from A and B, which of the following is true?

A particle is executing simple harmonic motion in a conservative force field. The total energy of simple harmonic motion is given by E=ax^(2)+bv^(2) where ‘x’ is the displacement from mean position x = 0 and v is the velocity of the particle at x then choose the INCORRECT statements.{Potential energy at mean position is assumed to be zero}