Conservative Force and Potential Energy

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Conservative Force and Potential Energy: Overview

This Topic covers sub-topics such as Potential Energy, Mechanical Energy, Conservation of Mechanical Energy, Stable Equilibrium, Conservative and Non-conservative Forces, Neutral Equilibrium, Unstable Equilibrium and, Energy Stored in Spring

Important Questions on Conservative Force and Potential Energy

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A rubber ball is dropped from a height of 5 m on a plane, where the acceleration due to gravity is not shown. On bouncing, it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of α5. Write value of α.

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Which one of the following is not a conservative force?

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A particle is moved from 0, 0 to a, a under a force F=(3i^+4j^) from two paths. Path 1 is OP and path 2 is OQP. Let W1 and W2 be the work done by this force in these two paths. Then,

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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.

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Which of the following forces is not conservative?

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The P.E. of a particle of mass 0.1 kg moving along the x- axis is given by, U=5xx-4 J, where x is in metre. It can be concluded that the wrong option is

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In a gravitational force field a particle is taken from A   to B along different paths as shown in figure. Then

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Assertion: Friction is a conservative force.
Reason: Friction does not depend upon mass of the body.

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Frictional force is_______________.

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Which of the following statement is not true?

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The potential energy of a system increases if work is done

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The potential energy of a particle is determined by the expression U=αx2+y2, where α is a positive constant. The particle begins to move from a point with coordinates 3, 3, only under the action of the potential field force. Then its kinetic energy K at the instant when the particle is at a point with the coordinates 1, 1 is

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The shape of the potential energy vs displacement curve for a spring is:

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Which of the following is true for an Unstable equilibrium ?

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A block of mass M in the  Fig. moving on the frictionless horizontal surface collides with the spring of spring constant

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k and compresses it by length L. The maximum momentum of the block after collision is

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Example of a non-conservative force is:

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The shape of the potential energy versus displacement graph for an ideal spring-block system is:

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Plots of potential energy vs displacement and kinetic energy vs displacement for an ideal spring-block system intersect each other:

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A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is

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A small ball is pushed from a height h along a smooth hemispherical bowl. With what speed should the ball be pushed so that it just reaches the top of opposite end of the bowl? The height of the top of the bowl is R.

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