Q. No.A boat of mass \(200\) kg is accelerated by an engine of power \(16\) kW. If the boat covers a distance of \(72\) km in \(2\) hr, the acceleration of the boat is:
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
Subtopic: Power |
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A particle moves with a velocity \((6 \hat{i}-4 \hat{j}+3 \hat{k})\) m/s under the influence of a constant force \(\vec{F}=(20 \hat{i}+15 \hat{j}-5 \hat{k})\) N. The instantaneous power applied to the particle is:
1. \(45\) erg
2. \(45\) J/s
3. \(35\) J/s
4. \(25\) J/s
1. \(45\) erg
2. \(45\) J/s
3. \(35\) J/s
4. \(25\) J/s
Subtopic: Power |
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Subtopic: Power |
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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms–1. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is:
(Take \(g=10\) ms–2)
1. \(23500\)
2. \(23000\)
3. \(20000\)
4. \(34500\)
(Take \(g=10\) ms–2)
1. \(23500\)
2. \(23000\)
3. \(20000\)
4. \(34500\)
Subtopic: Power |
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NEET - 2022
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A body of mass \(2\) kg is driven by an engine delivering constant power \(1~\text{J/s}\). The body starts from rest and moves in a straight line. After \(9\) s, the kinetic energy of the body is:
1. \(4.5~\text{J}\)
2. \(9~\text{J}\)
3. \(13.5~\text{J}\)
4. \(18~\text{J}\)
Subtopic: Power |
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A constant horizontal force is applied on a block kept at rest on a smooth horizontal surface. Its power \((P)\) versus time \((t)\) graph is best shown by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Power |
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A particle (mass: \(0.5~\text{kg}\)) moves along a straight line under the action of forces, and its velocity (\(v\)) varies with position (\(x\)) as shown in the figure:
The power delivered to the particle by all the forces acting on it, when it is at \(x=1~\text{m}\), is:
1. \(4~\text{W}\)
2. \(-4~\text{W}\)
3. \(2~\text{W}\)
4. \(-2~\text{W}\)
The power delivered to the particle by all the forces acting on it, when it is at \(x=1~\text{m}\), is:
1. \(4~\text{W}\)
2. \(-4~\text{W}\)
3. \(2~\text{W}\)
4. \(-2~\text{W}\)
Subtopic: Power |
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A particle of mass \(m\) is moving under a force whose delivered power \(P\) is constant. The initial velocity of the particle is zero. The position of a particle at \(t=4\) s is:
| 1. | \(\dfrac{16}{3}\sqrt{\dfrac{2P}{m}}\) | 2. | \(\dfrac{4}{3}\sqrt{\dfrac{2P}{m}}\) |
| 3. | \(\dfrac{2}{3}\sqrt{\dfrac{P}{m}}\) | 4. | \(\dfrac{3}{10}\sqrt{\dfrac{P}{m}}\) |
Subtopic: Power |
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A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in the figure correctly shown the displacement-time curve for its motion?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Power |
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A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)~\text{ms}^{-1}\) horizontally under the action of a constant force \((10\hat i+10\hat j+20\hat k)~\text N.\) The instantaneous power supplied to the particle is:
| 1. | \(200~\text W\) | 2. | zero |
| 3. | \(100~\text W\) | 4. | \(140~\text W\) |
Subtopic: Power |
78%
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NEET - 2023
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