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Q. No.
The system of blocks, connected by an ideal horizontal string, lies at rest on a smooth horizontal surface. A constant force \(F (=10\sqrt2~\text N)\) acts on the \(2~\text{kg}\) block, at an angle of \(45^\circ\) above the horizontal. The system undergoes a displacement of \(2~\text m.\) Match the quantities mentioned in Column I with their values (SI) in Column II. Take \(g=10~\text{m/s}^2.\)
Column I Column II
\(\mathrm{(A)}\) Work done by force \(F\) on \(2~\text{kg}\) block \(\mathrm{(I)}\) \(20\sqrt2\)
\(\mathrm{(B)}\) Work done by tension \((T)\) on \(2~\text{kg}\) block \(\mathrm{(II)}\) \(12\)
\(\mathrm{(C)}\) Power due to force \(F,\) finally \(\mathrm{(III)}\) \(20\)
\(\mathrm{(D)}\) Final kinetic energy of \(3~\text{kg}\) block \(\mathrm{(IV)}\) \(-12\)
 
1. A-II, B-II, C-III, D-I
2. A-III, B-IV, C-I, D-II
3. A-I, B-IV, C-III, D-II
4. A-II, B-IV, C-I, D-III
Subtopic:  Power |
 80%
Level 1: 80%+
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A particle is moving with a velocity \((6 \hat{i}-4 \hat{j}+3 \hat{k})~\text{m/s}\) under the influence of a constant force\(\vec{F}=(20 \hat{i}+15 \hat{j}-5 \hat{k})~\text{N}\). The instantaneous power applied to the particle is:
1. \(45~\text{erg}\)
2. \(45~\text{J/s}\)
3. \(35~\text{J/s}\)
4. \(25~\text{J/s}\)
Subtopic:  Power |
 92%
Level 1: 80%+
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How many \(2.5\) kg bricks can a man carry up a staircase \(3.6\) m high in one hour if he works at the average rate of \(9.8\) watts?
1. \(800\) 2. \(200\)
3. \(600\) 4. \(400\)
Subtopic:  Power |
 85%
Level 1: 80%+
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A body projected vertically from the earth reaches a height equal to earth’s radius before returning to the earth. The power exerted by the gravitational force is greatest:

1.  at the instant just before the body hits the earth.

2.  it remains constant all throughout.

3.  at the instant just after the body is projected.

4.  at the highest position of the body.

Subtopic:  Power |
 80%
Level 1: 80%+
Hints
One coolie takes \(1\) minute to raise a suitcase through a height of \(2~\text m\) but the second coolie takes \(30~\text s\) to raise the same suitcase to the same height. The powers of two coolies are in the ratio:
1. \(1:3\)
2. \(2:1\)
3. \(3:1\)
4. \(1:2\)
Subtopic:  Power |
 83%
Level 1: 80%+
NEET - 2013
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A motor pulls a block by giving a force of \(50\text{ N}\) at a speed of \(36\text{ km/h}.\) The power supplied by the motor to the block is:
1.  \(500\text{ watt}\)

2.  \(1800\text{ watt}\)

3.  \(250\text{ watt}\)

4.  \(200\text{ watt}\)

Subtopic:  Power |
 82%
Level 1: 80%+
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A truck of mass \(M\) accelerates from rest while the engine supplies a constant power \(P.\) The velocity attained after time \(t\) is proportional to:

1. \(t^{1/2}\)

2. \(t^{5/2}\)

3. \(t^{-1/2}\)

4. \(t^2\)

Subtopic:  Power |
 81%
Level 1: 80%+
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A body of mass \(1~\text{kg}\) begins to move under the action of a time-dependent force \(\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right) \text N,\) where \(\hat{i}\) and are unit vectors along the \({X}\) and \({Y}\text-\)axis. What power will be developed by the force at the time \((t)? \)
1. \(\left(2 t^2+4 t^4\right)\text W\) 2. \(\left(2 t^3+3 t^3\right) \text W \)
3. \(\left(2 t^3+3 t^5\right) \text W\) 4. \(\left(2 t^3+3 t^4\right) \text W\)
Subtopic:  Power |
 80%
Level 1: 80%+
NEET - 2016
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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
Subtopic:  Power |
 80%
Level 1: 80%+
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The force acting on a particle moving in a straight line is given by:
\(\vec{F}=(6 t^2 \hat{i}-3 t \hat{j})\) and its velocity at any instant is \(\vec{v}=(3 t^2 \hat{i}+6 t \hat{j}).\) Then, the instantaneous power delivered by the force at \( t = 2 ~\text s\) is:

1. \(216 ~\text W\) 2. \(108 ~\text W\)
3. \(0 ~\text W\) 4. \(54~\text W\)
Subtopic:  Power |
 80%
Level 1: 80%+
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