Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 m is

                        

(a) 21 J                                                  (b) 26 J

(c) 13 J                                                   (d) 18 J

Subtopic:  Work Done by Variable Force |
 59%
From NCERT
NEET - 2011
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A mass \(m\) (moving along the \(x-\)axis) with velocity \(v\) collides and sticks to mass of \(3m\) moving vertically upward (along the \(y-\)axis) with velocity \(2v.\) The final velocity of the combination is:
1. \(\frac32v\hat i+\frac14v\hat j\)
2. \(\frac14v\hat i+\frac32 v\hat j\)
3. \(\frac13v\hat i+\frac23 v\hat j\)
4. \(\frac23 v\hat i+\frac13v\hat j\)
 
Subtopic:  Collisions |
From NCERT
NEET - 2011
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A ball moving with velocity 2 ms-1 collides head on with another stationery ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ms-1) after collision will be 

(1)0,1                                               

(2)1,1

(3)1,0.5                                             

(4)0,2 

Subtopic:  Collisions |
 62%
NEET - 2010
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An engine pumps water through a hosepipe. Water passes through the pipe and leaves it with a velocity of \(2~\text{m/s}\). The mass per unit length of water in the pipe is \(100~\text{kg m}^{-1}\). What is the power of the engine?
1. \(400~\text{W}\)
2. \(200~\text{W}\)
3. \(100~\text{W}\)
4. \(800~\text{W}\)
Subtopic:  Power |
NEET - 2010
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A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v, the power delivered to the particle is 

1. Mv2T                                 

2. 12Mv2T2

3. Mv2T2                                   

4. 12Mv2T

Subtopic:  Work Energy Theorem |
 56%
From NCERT
NEET - 2010
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An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 ms-1 and 2 kg second part moving with a velocity of 8 ms-1. If the third part flies off with a velocity of 4 ms-1, its mass would be 

1. 5 kg                                          
2. 7 kg
3. 17 kg                                         
4. 3 kg

Subtopic:  Collisions |
 77%
From NCERT
NEET - 2009
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A body of mass 1 kg is thrown upwards with a velocity 20 ms-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? g=10 ms-2

1. 20 J                               
2. 30 J
3. 40 J                               
4. 10 J

Subtopic:  Work Energy Theorem |
 85%
From NCERT
NEET - 2009
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A block of mass \(M\) is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of \(k.\) The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:
1. \(Mg/k\)
2. \(2Mg/k\)
3. \(4Mg/k\)
4. \(Mg/2k\)

Subtopic:  Conservation of Mechanical Energy |
 69%
From NCERT
NEET - 2009
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A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is -

1. 100 ms-1

2. 80 ms-1

3. 40 ms-1

4. 120 ms-1

Subtopic:  Collisions |
 60%
From NCERT
NEET - 2008
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The potential energy of a system increases if work is done

(1) by the system against a conservative force 

(2) by the system against a nonconservative force

(3) upon the system by a conservative force

(4) upon the system by a nonconservative force

Subtopic:  Potential Energy: Relation with Force |
 60%
From NCERT
NEET - 2011
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