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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 |
 79%
Level 2: 60%+
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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 |
 84%
Level 1: 80%+
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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 |
 82%
Level 1: 80%+
NEET - 2013
Hints

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 |
 81%
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 |
 80%
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 |
 79%
Level 2: 60%+
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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 |
 79%
Level 2: 60%+
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A body of mass \(2\text{ kg}\) is driven by an engine delivering constant power \(1~\text{J/s}. \) The body starts from rest and moves in a straight line. After \(9\text{ s}, \) 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 |
 79%
Level 2: 60%+
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