The force acting on a body moving along x-axis varies with the position of the particle as shown in the fig.

The body is in stable equilibrium at

(1) x = x1

(2) x = x2

(3) both x1 and x2

(4) neither x1 nor x2

Concept Questions :-

Potential energy: Relation with force
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The potential energy of a particle varies with distance x as shown in the graph. The force acting on the particle is zero at

(1) C

(2) B

(3) B and C

(4) A and D

Concept Questions :-

Potential energy: Relation with force
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Figure shows the F-x graph. Where F is the force applied and x is the distance covered by the body along a straight line path. Given that F is in newton and x in metre, what is the work done ?

(1) 10 J

(2) 20 J

(3) 30 J

(4) 40 J

Concept Questions :-

Work done by variable force
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The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with the above spring of half length, the line OA will

(1) Shift towards F-axis

(2) Shift towards X-axis

(3) Remain as it is

(4) Become double in length

Concept Questions :-

Elastic potential energy
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The graph between E and v is

(1)

(2)

(3)

(4)

Concept Questions :-

Work-Energy theorem
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A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

(1)

(2)

(3)

(4)

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The diagrams represent the potential energy U of a function of the inter-atomic distance r. Which diagram corresponds to stable molecules found in nature.

(1)

(2)

(3)

(4)

Concept Questions :-

Potential energy: Relation with force
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The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be 

(1) 30 J

(2) 15 J

(3) 25 J

(4) 20 J

Concept Questions :-

Work done by variable force
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A particle is placed at the origin and a force F = kx is acting on it (where k is positive constant). If U(0) = 0, the graph of U(x) versus x will be (where U is the potential energy function) 

(1)

(2)

(3)

(4)

Concept Questions :-

Elastic potential energy
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A particle moves from a point -2i^+5j^ to 4j^+3k^ when a force of  4i^+3j^ N is applied. How much work has been done by the force?

1. 8 J

2. 11 J 

3. 5 J

4. 2 J

Concept Questions :-

Concept of work
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