A conveyor belt is moving at a constant speed of 2 m/s. A box is gently dropped on it. The coefficient of friction between them is µ = 0.5. The distance that the box will move relative to the belt before coming to rest on it, taking g = 10 ms–2 is:

1. 0.4 m 2. 1.2 m
3. 0.6 m 4. Zero

Subtopic:  Friction |
 66%
From NCERT
AIPMT - 2011
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A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will:
       
1. decrease by a factor of 2
2. remain constant
3. increase by a factor of 2
4. increase by a factor of 4

Subtopic:  Non Uniform Vertical Circular Motion |
From NCERT
AIPMT - 2011
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A car of mass \(m\) is moving on a level circular track of radius \(R\). If \(\mu_s\) represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by:
1. \(\sqrt{\frac{Rg}{\mu_s} }\)
2. \(\sqrt{\frac{mRg}{\mu_s}}\)
3. \(\sqrt{\mu_s Rg}\)
4. \(\sqrt{\mu_s m Rg}\)

Subtopic:  Friction |
 87%
From NCERT
AIPMT - 2012
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Two masses as shown are suspended from a massless pulley. What would be the acceleration of the system when masses are left free?

          

1. \(2g/3\)
2. \(g/3\)
3. \(g/9\)
4. \(g/7\)
(where \(g\) is the acceleration due to gravity.)

Subtopic:  Application of Laws |
 93%
From NCERT
AIPMT - 2000
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A body of mass 3 kg hits a wall at an angle of 60º & returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.
       

1. 150 3 N

2. 50 3 N

3. 100 N

4. 75 3 N

Subtopic:  Application of Laws |
 84%
From NCERT
AIPMT - 2000
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A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity of 25 m/s. Calculate the velocity of the other part.

1. 40 m/s upward

2. 40 m/s downward

3. 100 m/s upward

4. 60 m/s downward

Subtopic:  Application of Laws |
 56%
From NCERT
AIPMT - 2000
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A mass is performing a vertical circular motion (see figure.) If the average velocity of the particle is increased, then at which point the string will break?

     

1. A

2. B

3. C

4. D

Subtopic:  Non Uniform Vertical Circular Motion |
 78%
From NCERT
AIPMT - 2000
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If force \(F=500-100t,\) then the function of impulse with time will be:
1. \( 500 t-50 t^2 \)
2. \( 50 t-10 \)
3. \( 50-t^2 \)
4. \( 100 t^2\)
 

Subtopic:  Application of Laws |
 90%
From NCERT
AIPMT - 1998
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A man is slipping on a frictionless inclined plane & a bag falls down from the same height. Then the speed of both is related as:

1. VB > Vm

2. VB < Vm

3. VB = Vm

4. VB and Vm can't be related

Subtopic:  Friction |
 72%
From NCERT
AIPMT - 2000
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A particle of mass m is tied to a string of length L and whirled into a horizontal plane. If the tension in the string is T, then the speed of the particle will be:

1. Tlm

2. 2Tlm

3. 3Tlm

4. Tml

Subtopic:  Uniform Circular Motion |
 78%
From NCERT
AIPMT - 1998
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