The potential energy of a certain spring when stretched through a distance ‘S’ is 10 joule. The amount of work (in joule) that must be done on this spring to stretch it through an additional distance ‘S’ will be:

(1) 30

(2) 40

(3) 10

(4) 20

Concept Questions :-

Elastic potential energy
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A position dependent force F=72x+3x2newton acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. The work done in joules is:

(1) 70

(2) 270

(3) 35

(4) 135

Concept Questions :-

Work done by variable force
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A body of mass 3 kg is under a force, which causes a displacement in it, given by S=t33 (in m). Find the work done by the force in first 2 seconds: 

(1) 2 J

(2) 3.8 J

(3) 5.2 J

(4) 24 J

Concept Questions :-

Work done by variable force
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A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is:

(1) 16 J

(2) 8 J

(3) 32 J

(4) 24 J

Concept Questions :-

Elastic potential energy
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A spring of spring constant 5 × 103 N/m is stretched initially by 5cm from the unstretched position. Then the work required to stretch it further by another 5 cm is 

(1) 6.25 N-m

(2) 12.50 N-m

(3) 18.75 N-m

(4) 25.00 N-m

Concept Questions :-

Elastic potential energy
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A mass of 0.5kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be 

(1) 0.15 m

(2) 0.12 m

(3) 1.5 m

(4) 0.5 m

Concept Questions :-

Elastic potential energy
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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to 

(1) x2

(2) ex

(3) x

(4) loge x

Concept Questions :-

Concept of work
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If a long spring is stretched by 0.02 m, its potential energy is U. If the spring is stretched by 0.1 m, then its potential energy will be 

(1) U5

(2) U

(3) 5U

(4) 25U

Concept Questions :-

Elastic potential energy
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The spring extends by x on loading, then energy stored by the spring is : (if T is the tension in spring and k is spring constant) 

(1) T22k

(2) T22k2

(3) 2kT2

(4) 2T2k

Concept Questions :-

Elastic potential energy
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The potential energy of a body is given by, U = ABx2 (Where x is the displacement). The magnitude of force acting on the particle is 

(1) Constant

(2) Proportional to x

(3) Proportional to x2

(4) Inversely proportional to x

Concept Questions :-

Potential energy: Relation with force
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