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Q. No.A 2 kg brick is placed on the ground as shown and it is symmetrically cut into two equal pieces by a plane AB, which is at 45∘ with the horizontal. The system remains at rest. The force of friction on the upper piece due to the lower is: (Take g = 10 m/s2)
1. 10 N
2. 10√2 N
3. 5√2 N
4. 5 N
Subtopic: Friction |
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In the system shown in the figure, the strings and pulleys are ideal, and the block A moves downward while B moves to the right. A,B have equal masses. The acceleration of the block B is:
| 1. | g2 | 2. | g5 |
| 3. | 2g5 | 4. | g |
Subtopic: Application of Laws |
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Two smooth balls A,B of radius 10 cm each are placed in a cylinder of diameter 30 cm, as shown. The upper ball (A) has a mass of 2 kg, while the lower ball (B) has a mass of 4 kg. The system is at rest. Let the force exerted on the ball A by the cylinder be F1 along the horizontal (as shown) and that on the ball B, along the horizontal be F2 (as shown). Then:
| 1. | F1<F2 |
| 2. | F1=F2 |
| 3. | F1>F2 |
| 4. | the relationship between F1 and F2 depends on the mass of the cylinder |
Subtopic: Tension & Normal Reaction |
60%
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Two blocks of weight 1 kg and 2 kg are placed in contact with each other on a smooth horizontal plane. Horizontal forces are applied to the blocks as shown. The blocks move together only if:
1. F≤10 N
2. F>10 N
3. F≤20 N
4. F>20 N
1. F≤10 N
2. F>10 N
3. F≤20 N
4. F>20 N
Subtopic: Application of Laws |
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A constant force F is applied to the string so that the 3 kg block does not move, but the 5 kg block moves horizontally. The acceleration of the 5 kg block is: (take g=10 m/s2)
| 1. | 6 m/s2 | 2. | 3 m/s2 |
| 3. | 1.5 m/s2 | 4. | 1.2 m/s2 |
Subtopic: Application of Laws |
71%
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The system shown in the adjacent diagram is in equilibrium. Assuming that the strings and pulleys are ideal, the ratio of the masses, m1m2=
1. 4
2. 2
3. 12
4. 14
1. 4
2. 2
3. 12
4. 14
Subtopic: Application of Laws |
61%
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Select the correct option based on statements below:
| Assertion (A): | Newton's law of action and reaction is a consequence of Newton's law of inertia. |
| Reason (R): | Newton's law of inertia implies that any body that is not acted upon by external forces cannot change its state of rest or uniform motion. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Newton's Laws |
63%
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Assume that at the moment of lift-off, the rate at which gases are ejected is r (kg/s) and the speed of the exhaust is u (m/s). If the rocket has a mass m (with fuel and payload) and its acceleration is zero, but it has lifted off, then,
1. mg=ru
2. mg=ru2
3. g=ru
4. mg=r2u2
1. mg=ru
2. mg=ru2
3. g=ru
4. mg=r2u2
Subtopic: Newton's Laws |
75%
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A block of mass 5 kg requires a minimum horizontal force of 20 N to cause it to move. Take g=10 m/s2. Let μs be the coefficient of static friction, and μk be that of kinetic friction.
1. μs=0.4
2. μs=μk=0.4
3. μk=0.4
4. μs≥0.4
1. μs=0.4
2. μs=μk=0.4
3. μk=0.4
4. μs≥0.4
Subtopic: Friction |
51%
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Given below are two statements:
| Statement I: | Given that the magnitude of the acceleration of a body is constant, the force acting on it must be constant. |
| Statement II: | Newton's second law leads to the statement that the acceleration of a body is directly proportional to the net force acting on it. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Newton's Laws |
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