An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of mass 2kg moves with 8 ms-1 speed. If the third part flies off with 4 ms-1 speed, then its mass is

(1) 3kg
 

(2) 5kg
 

(3) 7kg
 

(4) 17kg

Subtopic:  Collisions |
 74%
From NCERT
NEET - 2013
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The potential energy of a particle in a force field is U=Ar2-Br,where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is 

(1) B/2A                                     

(2)2A/B

(3)A/B                                       

(4)B/A

Subtopic:  Potential Energy: Relation with Force |
 79%
NEET - 2012
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Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v2 in a direction perpendicular to the original direction.The mass A moves after collision in the direction

(1)same as that of B

(2)opposite to that of B

(3)θ=tan-112to the xaxis

(4)θ=tan-1-12to the xaxis

Subtopic:  Collisions |
From NCERT
NEET - 2012
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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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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 ms-1.The mass per unit length of water in the pipe is 100 kgm-1.What is the power of the engine?

1. 400 W                                       

2. 200 W

3. 100 W                                       

4. 800 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 

(a) 5 kg                                           (b) 7 kg

(c) 17 kg                                          (d) 3 kg

Subtopic:  Collisions |
 77%
From NCERT
NEET - 2009
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