# 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

Subtopic:  Elastic Potential Energy |
50%
From NCERT
PMT - 2002
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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

Subtopic:  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

Subtopic:  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

Subtopic:  Elastic Potential Energy |
81%
From NCERT
PMT - 2004
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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

Subtopic:  Concept of Work |
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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) $\frac{{T}^{2}}{2k}$

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

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

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

Subtopic:  Elastic Potential Energy |
80%
From NCERT
PMT - 2003
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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

Subtopic:  Potential Energy: Relation with Force |
82%
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The potential energy between two atoms in a molecule is given by $$U\left ( x \right )=\frac{a}{x^{12}}-\frac{b}{x^{6}};$$ where $$a$$ and $$b$$ are positive constants and $$x$$ is the distance between the atoms. The atoms are in stable equilibrium when:
1. $$x=\sqrt[6]{\frac{11a}{5b}}$$
2. $$x=\sqrt[6]{\frac{a}{2b}}$$
3. $$x=0$$
4. $$x=\sqrt[6]{\frac{2a}{b}}$$

Subtopic:  Potential Energy: Relation with Force |
66%
From NCERT
PMT - 1995
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Which one of the following is not a conservative force

(1) Gravitational force

(2) Electrostatic force between two charges

(3) Magnetic force between two magnetic dipoles

(4) Frictional force

Subtopic:  Work Energy Theorem |
87%
From NCERT
PMT - 2005
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Work done in raising a box depends on

(1) How fast it is raised

(2) The strength of the man

(3) The height by which it is raised

(4) None of the above

Subtopic:  Gravitational Potential Energy |
85%
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