# A block of mass M is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of k. The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be: 1. Mg/k 2. 2Mg/k 3. 4 Mg/k 4. Mg/2k

Subtopic:  Conservation of Mechanical Energy |
68%
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NEET - 2009
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A ball is thrown vertically downwards from a height of 20 m with an initial velocity vo. It collides with the ground, loses 50% of its energy in a collision and rebounds to the same height. The initial velocity vo is: (Take g = 10 ms-2)

1. 14 ms-1
2. 20 ms-1
3. 28 ms-1
4. 10 ms-1

Subtopic:  Conservation of Mechanical Energy |
65%
From NCERT
NEET - 2015
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A block of mass $$10$$ kg, moving in the $$x\text-$$direction with a constant speed of $$10$$ ms-1, is subjected to a retarding force $$F=0.1x$$ J/m during its travel from $$x =20$$ m to $$30$$ m. Its final kinetic energy will be:

 1 $$475$$ J 2 $$450$$ J 3 $$275$$ J 4 $$250$$ J
Subtopic:  Work Done by Variable Force |
72%
From NCERT
NEET - 2015
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A particle moves from a point $\left(-2\stackrel{^}{i}+5\stackrel{^}{j}\right)$ to $\left(4\stackrel{^}{j}+3\stackrel{^}{k}\right)$ when a force of  $\left(4\stackrel{^}{i}+3\stackrel{^}{j}\right)$ N is applied. How much work has been done by the force?

 1 8 J 2 11 J 3 5 J 4 2 J
Subtopic:  Work done by constant force |
68%
From NCERT
NEET - 2016
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The relationship between the force F and the position x of a body is as shown in the figure. The work done in displacing the body from x = 1 m to x = 5 m will be:

 1 30 J 2 15 J 3 25 J 4 20 J
Subtopic:  Work Done by Variable Force |
52%
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The graph between the resistive force $$F$$ acting on a body and the distance covered by the body is shown in the figure. The mass of the body is $$25$$ kg and the initial velocity is $$2$$ m/s. When the distance covered by the body is $$4$$ m, its kinetic energy would be:

1. $$50$$ J
2. $$40$$ J
3. $$20$$ J
4. $$10$$ J

Subtopic:  Work Done by Variable Force |
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The relationship between force and position is shown in the given figure (in a one-dimensional case). The work done by the force in displacing a body from $$x = 1$$ cm to $$x = 5$$ cm is:

1. $$20$$ ergs
2. $$60$$ ergs
3. $$70$$ ergs
4. $$700$$ ergs

Subtopic:  Work Done by Variable Force |
83%
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A lorry and a car moving with the same K.E. are brought to rest by applying the same retarding force, then:

1. Lorry will come to rest in a shorter distance

2. Car will come to rest in a shorter distance

3. Both will come to rest in a same distance

4. None of the above

Subtopic:  Work Energy Theorem |
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A force $\mathbit{F}=-k\left(y\mathbit{i}+x\mathbit{j}\right)$ (where k is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the force on the particle is:

1. $-2k{a}^{2}$

2. $2k{a}^{2}$

3. $-k{a}^{2}$

4. $$ka^2$$

Subtopic:  Work Done by Variable Force |
56%
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A particle of mass 'm' is moving in a horizontal circle of radius 'r' under a centripetal force equal to –K/r2, where K is a constant. The total energy of the particle will be:

1. $\frac{K}{2r}$

2. $-\frac{K}{2r}$

3. $-\frac{K}{r}$

4. $\frac{K}{r}$

Subtopic:  Potential Energy: Relation with Force |
58%
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