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 |
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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 |
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A body is displaced from \((0,0)\) to \((1~\text{m}, 1~\text{m})\) along the path \(x=y\) by a force \(F = (x^2\hat j+y\hat i)~\text{N}.\) The work done by this force will be:
1. \(\frac{4}{3}~\text{J}\)
2. \(\frac{5}{6}~\text{J}\)
3. \(\frac{3}{2}~\text{J}\)
4. \(\frac{7}{5}~\text{J}\)

Subtopic:  Work Done by Variable Force |
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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 |
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