The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from *x *= 1 *cm* to *x *= 5 *cm* is -

(1) 20 *ergs*

(2) 60 *ergs*

(3) 70 *ergs *

(4) 700 *ergs *

Concept Questions :-

Work done by variable force

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The pointer reading *v/s* load graph for a spring balance is as given in the figure. The spring constant is-

(1) 0.1 N/*cm*

(2) 5 *N*/*cm*

(3) 0.3 N/*cm*

(4) 1 N/*cm*

Concept Questions :-

Elastic potential energy

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Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from *x* = 0 to *x* = 35 *m* is equal to-

(1) 50 *J *

(2) 25 *J*

(3) 287.5 *J *

(4) 200 *J*

Concept Questions :-

Work done by variable force

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A 10*kg* mass moves along *x*-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from *x* = 0 to *x* = 8 *cm*** ?**

(1) 8 × 10^{–2} *joules*

(2) 16 × 10^{–2} *joules*

(3) 4 × 10^{–4} *joules*

(4) 1.6 × 10^{–3} *joules*

Concept Questions :-

Work done by variable force

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A toy car of mass 5 *kg* moves up a ramp under the influence of force *F* plotted against displacement *x*. The maximum height attained is given by

(1) *y*_{max }= 20* m*

(2) *y*_{max }= 15* m*

(3) *y*_{max }= 11* m*

(4) *y*_{max }= 5* m *

Concept Questions :-

Gravitational Potential energy

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The graph between the resistive force *F* acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 25 *kg* and initial velocity is 2 *m/s*. When the distance covered by the body is 4*m*, its kinetic energy would be

(1) 50 *J*

(2) 40 *J*

(3) 20 *J *

(4) 10 *J*

Concept Questions :-

Work done by variable force

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A particle of mass 0.1 *kg* is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at *x* = 0 , its velocity at *x* = 12 *m* is

(1) 0 *m/s*

(2) $20\sqrt{2}\text{\hspace{0.17em}}m/s$

(3) $20\sqrt{3}\text{\hspace{0.17em}}m/s$

(4) 40* m/s*

Concept Questions :-

Work done by variable force

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The relation between the displacement *X* of an object produced by the application of the variable force *F* is represented by a graph shown in the figure. If the object undergoes a displacement from *X* = 0.5 *m* to *X* = 2.5 *m* the work done will be approximately equal to

(1) 16 *J*

(2) 32 *J*

(3) 1.6 *J*

(4) 8 *J *

Concept Questions :-

Work done by variable force

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A particle is given a constant horizontal velocity from height h. Taking *g* to be constant every where, kinetic energy *E* of the particle *w. r. t.* time *t* is correctly shown in

(1)

(2)

(3)

(4)

Concept Questions :-

Concept of work

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The adjoining diagram shows the velocity versus time plot for a particle. The work done by the force on the particle is positive from

(1) *A* to *B*

(2) *B* to *C*

(3) *C* to *D*

(4) *D* to *E*

Concept Questions :-

Concept of work

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