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 position dependent force \(F=7-2x+3x^2\) N acts on a small body of mass \(2\) kg and displaces it from \(x = 0\) to \(x = 5\) m. The work done in joule is:

1. \(70\) 2. \(270\)
3. \(35\) 4. \(135\)
Subtopic:  Work Done by Variable Force |
 82%
From NCERT
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A position-dependent force F = 6 + 8x - 3x2 N acts on a small body of mass 3 kg, displacing it from x = 0 to x = 2 m. The work done in joule is:

1. 20 J

2.  40 J

3. 10 J

4.  12 J

Subtopic:  Work Done by Variable Force |
 82%
From NCERT
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A body is displaced from (0, 0) to (1m, 1m) along the path x=y by a force F=x2j^+yi^N. The work done by this force will be :

1. 43J

2. 56J

3. 32J

4. 75J

Subtopic:  Work Done by Variable Force |
 77%
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A block of mass \(10\) kg, moving in the x-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 force \(F = (20 + 10 y)\) acts on a particle in the \(y\)-direction where \(F\) is in Newton and \(y\) is in meter. Work done by this force to move the particle from \(y =0\) to \(y =1\) m is:
1. \(20~\text{J}\)
2. \(30~\text{J}\)
3. \(5~\text{J}\)
4. \(25~\text{J}\)
Subtopic:  Work Done by Variable Force |
 74%
From NCERT
NEET - 2019
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When a body moves non-uniformly on a circular path,

1. no work is done by the tangential force.

2. no work is done by the centripetal force.

3. work done by the tangential force is always positive.

4. work done by the centripetal force is negative.

Subtopic:  Work Done by Variable Force |
 69%
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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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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