A car of mass \(1000\) kg negotiates a banked curve of radius \(90\) m on a frictionless road. If the banking angle is of \(45^\circ,\) the speed of the car is:

1. \(20\) ms-1 2. \(30\) ms-1
3. \(5\) ms-1 4. \(10\) ms-1

Subtopic:  Banking of Roads |
 89%
From NCERT
AIPMT - 2012
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A person of mass \(60\) kg is inside a lift of mass \(940\) kg and presses the button on control panel. The lift starts moving upwards with an acceleration of \(1.0~\mathrm{ms^{-1}}\). If \(g=10~\mathrm{ms^{-2}}\), the tension in the supporting cable is:
1. \(9680~\mathrm{N}\)
2. \(11000~\mathrm{N}\)
3. \(1200~\mathrm{N}\)
4. \(8600~\mathrm{N}\)

Subtopic:  Application of Laws |
 93%
From NCERT
AIPMT - 2011
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A body of mass \(M\) hits normally a rigid wall with velocity \(v\) and bounces back with the same velocity. The impulse experienced by the body is:
1.  \(1.5Mv\)
2. \(2Mv\)
3. zero
4. \(Mv\)

Subtopic:  Newton's Laws |
 85%
From NCERT
AIPMT - 2011
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A block of mass \(\mathrm{m}\) is in contact with the cart C as shown in the figure. 
        
The coefficient of static friction between the block and the cart is μ. The acceleration α of the cart that will prevent the block from falling satisfies:
1. α>mgμ

2. α>gμm

3. αgμ

4. α<gμ

Subtopic:  Friction |
 81%
From NCERT
AIPMT - 2010
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A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if:

1. r=μgω2

2. r<ω2μg

3. rμgω2

4. rμgω2

Subtopic:  Friction |
 66%
From NCERT
AIPMT - 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, the first part 1 kg moving with a velocity of 12 ms-1 and the second part 2 kg 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:  Newton's Laws |
 78%
From NCERT
AIPMT - 2009
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The mass of a lift is \(2000\) kg. When the tension in the supporting cable is \(28000\) N, then its acceleration is:
(Take \(g=10\) m/s2)

1. \(30\) ms-2 downwards 2. \(4\) ms-2 upwards
3. \(4\) ms-2 downwards 4. \(14\) ms-2 upwards
Subtopic:  Application of Laws |
 84%
From NCERT
AIPMT - 2009
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A body, under the action of a force \(\overset{\rightarrow}{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}\), acquires an acceleration of 1 ms-2. The mass of this body must be:

1. 2 √10 kg

2. 10 kg

3. 20 kg

4. 10 √2 kg

Subtopic:  Newton's Laws |
 87%
From NCERT
AIPMT - 2009
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A roller coaster is designed such that riders experience "weightlessness" as they go around the top of a hill whose radius of curvature is \(20\) m. The speed of the car at the top of the hill is between:
1. \(14\) m/s and \(15\) m/s
2. \(15\) m/s and \(16\) m/s
3. \(16\) m/s and \(17\) m/s
4. \(13\) m/s and \(14\) m/s
Subtopic:  Uniform Circular Motion |
 71%
From NCERT
AIPMT - 2008
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Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be:
1.  Mv Newton

2.  2Mv Newton

3.  Mv2 Newton

4.  zero

Subtopic:  Newton's Laws |
 66%
From NCERT
AIPMT - 2008
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