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Q. No.\(200~\text{kg}\) of water is slowly pumped into an empty cylindrical bucket on the ground. The water is pumped from the ground level into the bucket until it reaches a height of \(1~\text m.\) The work done (by the pump) is: \((g=10~\text{m/s}^2)\)
1. \(2000~\text J\)
2. \(1000~\text J\)
3. -\(2000~\text J\)
4. -\(1000~\text J\)
1. \(2000~\text J\)
2. \(1000~\text J\)
3. -\(2000~\text J\)
4. -\(1000~\text J\)
Subtopic: Gravitational Potential Energy |
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When a man climbs up a ladder, positive work is done on the man by:
| 1. | his weight. |
| 2. | the normal reaction of the ladder on the man. |
| 3. | the reaction forces of the ground on the ladder. |
| 4. | the internal forces of the man. |
Subtopic: Concept of Work |
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A force of \(100~\text N\) acts on a block, always acting opposite to its velocity. The block moves from \(x=4~\text m\) to \(x=10~\text m\) and then to \(x=6~\text {m.}\) The work done by the force is:
1. \(200~\text J\)
2. \(-200~\text J\)
3. \(1000~\text J\)
4. \(-1000~\text J\)
1. \(200~\text J\)
2. \(-200~\text J\)
3. \(1000~\text J\)
4. \(-1000~\text J\)
Subtopic: Work done by constant force |
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Select the correct option based on the statements given below:
| Statement I: | When a ball is thrown vertically upward, it moves with a constant acceleration. |
| Statement II: | When a ball is thrown upward, its kinetic energy decreases linearly with time. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Work done by constant force |
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A light ball is thrown with a horizontal velocity of \(50~\text{km/h}\) towards an approaching truck, which is moving at \(50~\text{km/h},\) as shown in the figure. The collision between the ball and the truck is perfectly elastic. The speed of the ball, just after it rebounds from the truck, is:
(assume that the ball rebounds off a vertical surface and that the effect of gravity is negligible)
1. zero
2. \(50~\text{km/h}\)
3. \(100~\text{km/h}\)
4. \(150~\text{km/h}\)
(assume that the ball rebounds off a vertical surface and that the effect of gravity is negligible)
1. zero
2. \(50~\text{km/h}\)
3. \(100~\text{km/h}\)
4. \(150~\text{km/h}\)
Subtopic: Collisions |
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Given below are two statements:
| Assertion (A): | In a swinging simple pendulum, the power delivered by gravity is maximum when the pendulum is at the lowest point. |
| Reason (R): | The speed of the pendulum bob is highest when it reaches the lowest point and the power is given by \((\vec F.\vec v).\) |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Power |
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When a man starts walking on a horizontal road, he starts from rest and then accelerates forward due to the force of static friction acting on his shoes (or feet). The work done by friction:
| 1. | is positive |
| 2. | is negative |
| 3. | is zero |
| 4. | can be positive, negative or zero depending on the man's acceleration. |
Subtopic: Concept of Work |
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The small block of mass \(m\) slides down the \(30^\circ\) incline, starting from rest. The average power of the force of gravity, during the motion, is:
| 1. | \(mg\sqrt{gL}\) | 2. | \(\Large\frac{mg\sqrt{gL}}{2}\) |
| 3. | \(\Large\frac{mg\sqrt{gL}}{4}\) | 4. | \(\Large\frac{mg\sqrt{gL}}{2\sqrt2}\) |
Subtopic: Power |
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The system, shown in adjacent diagram, is released from rest. The block \(B\) falls through a height \(h.\) There is no friction anywhere, and the pulley and string are ideal. The increase in the kinetic energy of \(A\) is:
| 1. | zero | 2. | \(mgh\) |
| 3. | \(\Large\frac{mgh}{2}\) | 4. | \(2mgh\) |
Subtopic: Conservation of Mechanical Energy |
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Given below are two statements:
| Assertion (A): | The net work done by gravity is equal to the loss in the vertical component of the kinetic energy for a projectile. |
| Reason (R): | The work-energy theorem applies to all systems including projectiles. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Work Energy Theorem |
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