# A balloon with mass $$m$$ is descending down with an acceleration $$a$$ (where $$a<g$$). How much mass should be removed from it so that it starts moving up with an acceleration $$a$$? 1. $$\frac{2 m a}{g+a}$$ 2. $$\frac{2 m a}{g-a}$$ 3. $$\frac{m a}{g+a}$$ 4. $$\frac{m a}{g-a}$$

Subtopic:  Application of Laws |
61%
From NCERT
AIPMT - 2014
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The upper half of an inclined plane of inclination $$\theta$$ is perfectly smooth while the lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by:
1. $$\mu=2/tan \theta$$
2. $$\mu=2tan \theta$$
3. $$\mu=tan \theta$$
4. $$\mu=1/tan \theta$$

Subtopic:  Friction |
65%
From NCERT
AIPMT - 2013
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Three blocks with masses $$m$$, $$2m$$, and $$3m$$ are connected by strings as shown in the figure. After an upward force $$F$$ is applied on block $$m$$, the masses move upward at constant speed $$v$$. What is the net force on the block of mass $$2m$$? ($$g$$ is the acceleration due to gravity)

 1 $$2~mg$$ 2 $$3~mg$$ 3 $$6~mg$$ 4 zero
Subtopic:  Application of Laws |
75%
From NCERT
AIPMT - 2013
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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
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 $\mathrm{\mu }$. The acceleration $\mathrm{\alpha }$ of the cart that will prevent the block from falling satisfies:
1. $\mathrm{\alpha }>\frac{\mathrm{mg}}{\mathrm{\mu }}$

2. $\mathrm{\alpha }>\frac{\mathrm{g}}{\mathrm{\mu m}}$

3. $\mathrm{\alpha }\ge \frac{\mathrm{g}}{\mathrm{\mu }}$

4. $\mathrm{\alpha }<\frac{\mathrm{g}}{\mathrm{\mu }}$

Subtopic:  Friction |
81%
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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