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 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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A small ball is suspended from a thread. If it is lifted up with an acceleration of 4.9 ms–2 and lowered with an acceleration of 4.9 ms–2, then the ratio of the tension in the thread in both cases will be:

1. 1 : 3
2. 3 : 1
3. 1 : 1
4. 1 : 5

Subtopic:  Application of Laws |
 73%
From NCERT
AIPMT - 1998
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If a ladder is not in a balanced condition against a smooth vertical wall, then it can be brought to a balanced condition by:

1. decreasing the length of the ladder.
2. increasing the length of the ladder.
3. increasing the angle of inclination.
4. decreasing the angle of inclination.

Subtopic:  Application of Laws |
 61%
From NCERT
AIPMT - 1998
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For rocket propulsion, the velocity of exhaust gases relative to the rocket is \(2\) km/s. If the mass of a rocket system is \(1000\) kg, then the rate of fuel consumption for the rocket to rise up with an acceleration \(4.9\) m/s2 will be:
1. \(12.25\) kg/s
2. \(17.5\) kg/s
3. \(7.35\) kg/s
4. \(5.2\) kg/s
 

Subtopic:  Variable Mass System |
 64%
From NCERT
AIPMT - 1998
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A rigid rod is placed against the wall as shown in the figure. When the velocity at its lower end is \(10\) ms-1 and its base makes an angle \(\alpha=60^\circ\) with horizontal, then the vertical velocity of its end \(\mathrm{B}\) (in ms-1) will be:
                  

1. \(10\sqrt{3}\) 2. \(\frac{10}{\sqrt{3}}\)
3. \(5\sqrt{3}\) 4. \(\frac{5}{\sqrt{3}}\)
Subtopic:  String Constraint |
 61%
From NCERT
AIPMT - 1998
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If \(100\) N force is applied to \(10\) kg block as shown in diagram, then the acceleration produced for the slab will be:

   

1. \(1. 65 \) m/s2
2. \(0.98 \) m/s2
3. \(1. 2 \) m/s2
4. \(0.25\) m/s2

Subtopic:  Friction |
 58%
From NCERT
AIPMT - 1999
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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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