- 1(current)
Q. No.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 \(x = 1~\text{cm}\) to \(x = 5~\text{cm}\) is:
1. \(20~\text{ergs}\)
2. \(60~\text{ergs}\)
3. \(70~\text{ergs}\)
4. \(700~\text{ergs}\)
Subtopic: Â Work Done by Variable Force |
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Level 1: 80%+
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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: Â Work Done by Variable Force |
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Level 1: 80%+
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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. \(\frac{7}{5}~\text{J}\)
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: Â Work Done by Variable Force |
 79%
Level 2: 60%+
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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: Â Work Done by Variable Force |
 73%
Level 2: 60%+
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Q. No.
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