# 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

90%
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 $$m$$ is in contact with the cart $$(C)$$ as shown in the figure.

The coefficient of static friction between the block and the cart is $$\mu.$$ The acceleration $$a$$ of the cart that will prevent the block from falling satisfies:
1. $$a > \frac{mg}{\mu}$$
2. $$a > \frac{g}{\mu m}$$
3. $$a \ge \frac{g}{\mu}$$
4. $$a < \frac{g}{\mu}$$

Subtopic:  Friction |
82%
From NCERT
AIPMT - 2010
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A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is $\mu$. The coin will revolve with the record if:

1. $r=\mu g{\omega }^{2}$

2. $r<\frac{{\omega }^{2}}{\mu g}$

3. $r\le \frac{\mu g}{{\omega }^{2}}$

4. $r\ge \frac{\mu g}{{\omega }^{2}}$

Subtopic:  Friction |
67%
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 ${\mathrm{ms}}^{-1}$ and the second part 2 kg moving with a velocity of 8 ${\mathrm{ms}}^{-1}$. If the third part flies off with a velocity of 4 ${\mathrm{ms}}^{-1}$, its mass would be:

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

Subtopic:  Newton's Laws |
77%
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 |
88%
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 |
72%
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.  $\frac{\mathrm{Mv}}{2}$ Newton

4.  zero

Subtopic:  Newton's Laws |
67%
From NCERT
AIPMT - 2008
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