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* = *x*_{1}

(2) *x* = *x*_{2}

(3) both *x*_{1} and *x*_{2}

(4) neither *x*_{1} nor *x*_{2}

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 $\left(-2\hat{i}+5\hat{j}\right)$ to $\left(4\hat{j}+3\hat{k}\right)$ when a force of $\left(4\hat{i}+3\hat{j}\right)$ N is applied. How much work has been done by the force?

1. 8 J

2. 11 J

3. 5 J

4. 2 J

NEET - 2016

Concept Questions :-

Concept of work

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