Conservative and Non Conservative Forces
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A particle free to move along the x-axis has potential energy given by U(x)=k[1−exp(−x)2] for −∞≤x≤+∞, where k is a positive constant of appropriate dimensions. Then
If its total mechanical energy is k/2, it has its minimum kinetic energy at the origin
For any finite non-zero value of x, there is a force directed away from the origin
For small displacements from x = 0, the motion is simple harmonic
At point away from the origin, the particle is in unstable equilibrium
Work done by a conservative force on a system is equal to
None of the above
The change in potential energy of the system
The change in kinetic energy of the system
The change in total mechanical energy of the system
A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to −Kr2 , where K is a constant. The total energy of the particle is
- False
- True
If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1, W2 and W3 [IIT JEE 2003]