# A particle moves under the effect of a force F = Cx from x = 0 to x = x1. The work done in the process is  (1) $C{x}_{1}^{2}$ (2) $\frac{1}{2}C{x}_{1}^{2}$ (3) $C{x}_{1}$ (4) Zero

Subtopic:  Work Done by Variable Force |
83%
From NCERT
PMT - 1982
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A cord is used to lower vertically a block of mass M by a distance d with constant downward acceleration $\frac{g}{4}$. Work done by the cord on the block is

(1) $Mg\frac{d}{4}$

(2) $3Mg\frac{d}{4}$

(3) $-3Mg\frac{d}{4}$

(4) Mgd

Subtopic:  Gravitational Potential Energy |
59%
From NCERT
PMT - 1972
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Two springs have their force constant as k1 and ${k}_{2}\left({k}_{1}>{k}_{2}\right)$. When they are stretched by the same force

(1) No work is done in case of both the springs

(2) Equal work is done in case of both the springs

(3) More work is done in case of second spring

(4) More work is done in case of first spring

Subtopic:  Elastic Potential Energy |
65%
From NCERT
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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 |
83%
From NCERT
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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 |
71%
From NCERT
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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 |
69%
From NCERT
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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%
From NCERT
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