# 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 |
83%
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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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If the kinetic energy of a body becomes four times of its initial value, then new momentum will

(1) Becomes twice its initial value

(2) Become three times its initial value

(3) Become four times its initial value

(4) Remains constant

Subtopic:  Conservation of Mechanical Energy |
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