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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A position dependent force $F=7-2x+3{x}^{2}\text{\hspace{0.17em}}newton$ 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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body of mass 3 kg is under a force, which causes a displacement in it, given by $S=\frac{{t}^{3}}{3}$ (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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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) $\frac{U}{5}$

(2) U

(3) 5U

(4) 25U

Concept Questions :-

Elastic potential energy
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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) $\frac{{T}^{2}}{2k}$

(2) $\frac{{T}^{2}}{2{k}^{2}}$

(3) $\frac{2k}{{T}^{2}}$

(4) $\frac{2{T}^{2}}{k}$

Concept Questions :-

Elastic potential energy
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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