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Q. No.A rigid body moves a distance of \(10\) m along a straight line under the action of a force of \(5\) N. If the work done by this force on the body is \(25~\text{J}\), the angle which the force makes with the direction of motion of the body is:
| 1. | \(0^{\circ}\) | 2. | \(30^{\circ}\) |
| 3. | \(60^{\circ}\) | 4. | \(90^{\circ}\) |
Subtopic: Concept of Work |
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Level 1: 80%+
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A man pushes a wall and fails to displace it. He does:
| 1. | negative work |
| 2. | positive but not maximum work |
| 3. | no work at all |
| 4. | maximum work |
Subtopic: Concept of Work |
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A mass of \(5\text{ kg}\) is moving along a circular path of radius \(1\text{ m}.\) If the mass moves with \(300\text{ revolutions per minute},\) its kinetic energy would be:
1. \(250 \pi^2\)
2. \(100 \pi^2\)
3. \(5 \pi^2\)
4. \(0\)
1. \(250 \pi^2\)
2. \(100 \pi^2\)
3. \(5 \pi^2\)
4. \(0\)
Subtopic: Concept of Work |
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A spring has a force constant of \(100~\text{N/m}\) and an unstretched length of \(0.07~\text m.\) One end is attached to a post that is free to rotate in the centre of a smooth table, as shown in the top view. The other end is attached to a \(1~\text{kg}\) disc moving in uniform circular motion on the table, which stretches the spring by \(0.03~\text m.\) Friction is negligible.
What is the work done on the disc by the spring during one full circle?
What is the work done on the disc by the spring during one full circle?
| 1. | \(0~\text J\) | 2. | \(94~\text J\) |
| 3. | \(186~\text J\) | 4. | \(314~\text J\) |
Subtopic: Concept of Work |
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A body constrained to move in \(y\)-direction is subjected to a force given by \(\vec F=(-2\hat i+15\hat j+6\hat k)\text{ N}.\) The work done by this force in moving the body a distance of \(10\text{ m}\) along the \(y\)-axis is:
1. \(20\text{ J}\)
2. \(150\text{ J}\)
3. \(60\text{ J}\)
4. \(190\text{ J}\)
Subtopic: Concept of Work |
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Level 1: 80%+
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In which of the following figures, the work done by force \(F\) in displacing an object through distance \(d\) is positive? (\(\theta\) is the angle between \(F\) and \(d\))
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Concept of Work |
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A ball of mass \(2~\text{kg}\) is tied to a \(0.80~\text m\) long string and whirled at a constant speed of \(6~\text{m/s} \) in a horizontal circular path. What is the net work done on the ball during one complete revolution?
| 1. | \(450~\text J\) | 2. | \(90~\text J\) |
| 3. | \(72~\text J\) | 4. | \(0~\text{J}\) |
Subtopic: Concept of Work |
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A body of mass \(1~\text{kg}\) is moving with velocity of \(\)\(\left(3 \hat{i}+4 \hat{j}\right)\) m/s. What is the kinetic energy possessed by the body?
| 1. | \(125 ~\text J\) | 2. | \(25 ~\text J\) |
| 3. | \(10.8 ~\text J\) | 4. | \(12.5 ~\text J\) |
Subtopic: Concept of Work |
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The work done on a block by friction as it slides on a rough surface is:
| 1. | negative and directly proportional to \(\mu_k\) |
| 2. | negative and inversely proportional to \(\mu_k\) |
| 3. | positive and directly proportional to \(\mu_k\) |
| 4. | positive and inversely proportional to \(\mu_k\) |
Subtopic: Concept of Work |
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