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%
From NCERT
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 -2i^+5j^ to 4j^+3k^ when a force of  4i^+3j^ 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%
From NCERT
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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 |
 53%
From NCERT
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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%
From NCERT
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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 |
 64%
From NCERT
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A force F=k(yi+xj) (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. 2ka2

2. 2ka2

3. −ka2

4. \(ka^2\)

Subtopic:  Work Done by Variable Force |
 56%
From NCERT
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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. K2r

2. K2r

3. Kr

4. Kr

Subtopic:  Potential Energy: Relation with Force |
 58%
From NCERT
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