Home
Class 12
PHYSICS
Shown that work done by a conservative f...

Shown that work done by a conservative force on a particle moving between two points is path independent.

Text Solution

AI Generated Solution

To show that the work done by a conservative force on a particle moving between two points is path independent, we can follow these steps: ### Step 1: Define the Points and Paths Let us consider two points, A and B. There are multiple paths that can be taken to move from point A to point B. For our analysis, we will consider two specific paths: Path 1 and Path 2. ### Step 2: Understand Conservative Forces A conservative force is defined as a force for which the work done is independent of the path taken and depends only on the initial and final positions. A key property of conservative forces is that the net work done over a complete cycle is zero. ...
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise IILUSTRATION|2 Videos

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|95 Videos

  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos

Similar Questions

Explore conceptually related problems

Work done by the conservative force on a system is equal to :

The frictional force between two surfaces is independent of

This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q. Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero.

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 .

Assertion:The work done by a conservative force such as gravity depends on the initial and final positions only Reason: The work done by a force can not be calculated if the exact nature of the force is not known.

STATEMENT-1: Work-energy theorem is consequence of Newton's laws of motion. STATEMENT-2: The work done by a conservative force along a closed path is zero. STATEMENT3: Work done by a constant force is independent of the path.

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 moves in x-y plane in figure under the influence of a friction force with magnitude 3.00N and acting in the direction opposite to the particle's displacement. Calculate the work done by the friction force on particle as it moves along the following paths: (a) path OA followed by AC (b) path OA followed by AC and the return path CO, (c) path OC followed by the return path CO, and (d) each of your three answers should be non-zero. What is the significant of this observation?

What is the amount of work done in moving a charge of 15 between two points kept at a potentia difference of 1.2 V?

Assertion: Work done in moving a charge between any two points in a unifrom electric field is independent of the path followed by the charge, between these points. Reason: Electrostatic forces are non-conservative.