Q. No.The two blocks \(A\) and \(B\) are placed on a smooth horizontal plane, with the string initially just taut. Forces are applied as shown. The tension in the string is:
| 1. | \(5~\text{N}\) | 2. | \(2~\text{N}\) |
| 3. | \(1~\text{N}\) | 4. | \(0~\text{N}\) |
Subtopic: Â Newton's Laws |
 76%
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An elevator moving up is decelerating at \(1\) m/s2. Then, the apparent weight of a \(50\) kg man, on a weighing machine, will be: (Take \(g=\) \(10\) m/s2)
| 1. | \(55\) kg | 2. | \(45\) kg |
| 3. | \(40\) kg | 4. | none of the above |
Subtopic: Â Newton's Laws |
 62%
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A balloon ascending with an acceleration \(a\) has a ballast of mass \(m\) thrown out, and it is observed to move upward with double the acceleration. The mass of the remaining part (after the ballast is thrown out) is:
| 1. | \(m\dfrac{g+2a}{g+a}\) |
| 2. | \(m\dfrac{g+a}{g}\) |
| 3. | \(m\dfrac{g+a}{a}\) |
| 4. | \(m\dfrac{g+2a}{g}\) |
Subtopic: Â Newton's Laws |
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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: Â 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. \(mg=ru^2\)
3. \(g=ru\)
4. \(mg=r^2u^2\)
1. \(mg=ru\)
2. \(mg=ru^2\)
3. \(g=ru\)
4. \(mg=r^2u^2\)
Subtopic: Â Newton's Laws |
 75%
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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: Â Newton's Laws |
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Given below are two statements:
| Assertion (A): | A block near the surface of the earth, is pulled down by its weight \((W);\) the block, pulls the earth upward by exerting an equal force. |
| Reason (R): | This is a consequence of Newton's law of action and reaction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Â Newton's Laws |
 81%
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A ball (mass : \(m\)) that is dropped from a height \(h\) above the ground, rebounds elastically and rises to the same level. The average force acting on this ball during the entire motion is:
1. \(mg\)
2. \(2mg\)
3. \(\dfrac{mg}{2}\)
4. zero
1. \(mg\)
2. \(2mg\)
3. \(\dfrac{mg}{2}\)
4. zero
Subtopic: Â Newton's Laws |
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A gun is fixed onto a railcar (with \(5~\text{kg}\) shells), the total mass of the system being \(1000~\text{kg}.\) Whenever a shell is fired from the gun, it leaves it horizontally with a speed of \(200~\text{m/s}\) with respect to the initial frame where the gun was at rest. Find the recoil speed of the system (railcar and remaining shells) after two shells have been fired in the same direction. Assume that the railcar can recoil freely.
1. \(2~\text{m/s}\)
2. \(\bigg({\large\frac{200}{199}}+1\bigg)~\text{m/s}\)
3. \(\bigg({\large\frac{200}{198}}+1\bigg)~\text{m/s}\)
4. \(\bigg({\large\frac{200}{199}}+{\large\frac{200}{198}}\bigg)~\text{m/s}\)
1. \(2~\text{m/s}\)
2. \(\bigg({\large\frac{200}{199}}+1\bigg)~\text{m/s}\)
3. \(\bigg({\large\frac{200}{198}}+1\bigg)~\text{m/s}\)
4. \(\bigg({\large\frac{200}{199}}+{\large\frac{200}{198}}\bigg)~\text{m/s}\)
Subtopic: Â Newton's Laws |
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A ball of mass \(m\) falls from a height \(h_1\) and rebounds to a height \(h_2(h_2<h_1).\) The time of collision is \(\tau.\) The impulse delivered to the ball during the collision is (nearly):
1. \(mg\tau\)
2. \(m\bigg(\sqrt{2gh_1}-\sqrt{2gh_2}\bigg)\)
3. \(m\bigg(\sqrt{2gh_1}+\sqrt{2gh_2}\bigg)\)
4. \(m\sqrt{2g(h_1+h_2)}\)
1. \(mg\tau\)
2. \(m\bigg(\sqrt{2gh_1}-\sqrt{2gh_2}\bigg)\)
3. \(m\bigg(\sqrt{2gh_1}+\sqrt{2gh_2}\bigg)\)
4. \(m\sqrt{2g(h_1+h_2)}\)
Subtopic: Â Newton's Laws |
 55%
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