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Q. No.A particle moves unidirectionally on a horizontal plane, under a constant power-supplying energy source. The displacement-time \((s\text-t)\) graph that describes the motion of the particle is:
(graphs are drawn schematically and are not to scale)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Power |
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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 particle of mass \(m\) is moving in a circular path of constant radius \(r\) such that its centripetal acceleration (\(a\)) is varying with time \(t\) as \(a=k^2rt^2\) where \(k\) is a constant. The power delivered to the particle by the force acting on it is given as:
1. zero
2. \(\mathrm {m k^2} \mathrm {r^2} \mathrm t^2 \)
3. \(\mathrm{mk}^2 \mathrm{r}^2 \mathrm{t} \)
4. \(\mathrm{mk}^2 \mathrm{rt}\)
1. zero
2. \(\mathrm {m k^2} \mathrm {r^2} \mathrm t^2 \)
3. \(\mathrm{mk}^2 \mathrm{r}^2 \mathrm{t} \)
4. \(\mathrm{mk}^2 \mathrm{rt}\)
Subtopic: Power |
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Sand is being dropped from a stationary dropper at a rate of \(0.5\) kgs–1 on a conveyor belt moving with a velocity of \(5\) ms–1. The power needed to keep the belt moving with the same velocity will be:
1. \(1.25\) W
2. \(2.5\) W
3. \(6.25\) W
4. \(12.5\) W
1. \(1.25\) W
2. \(2.5\) W
3. \(6.25\) W
4. \(12.5\) 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 lift with a mass of \(1400\) kg moves upwards at a constant velocity of \(3\) m/s, and experiences a frictional force of \(2000\) N. What is the power of the motor driving the lift? (take \(g=10\) m/s2)
1. \(48\) kW
2. \(24\) kW
3. \(32\) kW
4. \(42\) kW
1. \(48\) kW
2. \(24\) kW
3. \(32\) kW
4. \(42\) kW
Subtopic: Power |
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How much power is delivered by a force, \(F\) at \(t=10~\text{s}\) (see figure), assuming the body starts from rest? (take \(g=10\) m/s2)
1. \(50\) W
2. \(30\) W
3. \(20\) W
4. \(10\) W
1. \(50\) W2. \(30\) W
3. \(20\) W
4. \(10\) W
Subtopic: Power |
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