# 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 |
65%
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 |
59%
From NCERT
AIPMT - 1999
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A block of mass $$m$$ is placed on a smooth wedge of inclination $$\theta$$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($$g$$ is the acceleration due to gravity) will be:
1. $$mg~\mathrm{sin\theta}$$
2. $$mg$$
3. $$\frac{mg}{\mathrm{cos\theta}}$$
4. $$mg~\mathrm{cos\theta}$$

Subtopic:  Application of Laws |
56%
From NCERT
AIPMT - 2004
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The coefficient of static friction, $$\mu_s,$$ between block A of mass $$2$$ kg and the table as shown in the figure is $$0.2$$. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (Take $$g=10$$ m/s2

1. $$4.0$$ kg
2. $$0.2$$ kg
3. $$0.4$$ kg
4. $$2.0$$ kg

Subtopic:  Friction |
81%
From NCERT
AIPMT - 2004
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An object of mass $$3$$ kg is at rest. Now if a force of $$\overrightarrow{F} = 6 t^{2} \hat{i} + 4 t \hat{j}$$ is applied to the object, then the velocity of the object at $$t =3$$ second will be:
1. $$18 \hat{i} + 3 \hat{j}$$

2. $$18 \hat{i} + 6 \hat{j}$$

3. $$3 \hat{i} + 18 \hat{j}$$

4. $$18 \hat{i} + 4 \hat{j}$$

Subtopic:  Newton's Laws |
74%
From NCERT
AIPMT - 2002
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A block of mass 10 kg is placed on a rough horizontal surface with a coefficient of friction µ = 0.5. If a horizontal force of 100 N acts on the block, then the acceleration of the block will be:

1. 10 m/s2

2. 5 m/s2

3. 15 m/s2

4. 0.5 m/s2

Subtopic:  Friction |
89%
From NCERT
AIPMT - 2002
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If a lift of mass 1000 Kg is moving with an acceleration of 1 m/s2 in an upward direction, then the tension developed in the string that is connected to the lift is:

1. 9800 N

2. 10, 800 N

3. 11000 N

4. 10, 000 N

Subtopic:  Application of Laws |
From NCERT
AIPMT - 2002
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A cricketer catches a ball of mass $$150~\mathrm{gm}$$ in $$0.1$$ $$\mathrm{s}$$ moving with a speed of $$20~\mathrm{ms^{-1}}$$. Then he experiences a force of:
1. $$300~\mathrm{N}$$
2. $$30~\mathrm{N}$$
3. $$3~\mathrm{N}$$
4. $$0.3~\mathrm{N}$$

Subtopic:  Newton's Laws |
85%
From NCERT
AIPMT - 2001
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On the horizontal surface of a truck, a block of mass $$1$$ kg is placed ($$\mu = 0.6$$) and the truck is moving with an acceleration of $$5$$ m/s2. The frictional force on the block will be:
1. $$5$$ N
2. $$6$$ N
3. $$5.88$$ N
4. $$8$$ N

Subtopic:  Friction |
63%
From NCERT
AIPMT - 2001
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