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Q. No.A block of mass \(10\text{ kg}\) starts sliding on a surface with an initial velocity of \(9.8\text{ m/s}.\) The coefficient of friction between the surface and block is \(0.5.\) The distance covered by the block before coming to rest is: (use \(g = 9.8\text{ m/s}^2\))
1. \(4.9\text{ m}\)
2. \(9.8\text{ m}\)
3. \(12.5\text{ m}\)
4. \(19.6\text{ m}\)
1. \(4.9\text{ m}\)
2. \(9.8\text{ m}\)
3. \(12.5\text{ m}\)
4. \(19.6\text{ m}\)
Subtopic: Friction |
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A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N. If the maximum speed with which the stone can revolve is \({K \over \pi}~rev./min\). The value of K is: (Assume the string is massless and unstretchable)
1. 400
2. 300
3. 600
4. 800
1. 400
2. 300
3. 600
4. 800
Subtopic: Uniform Circular Motion |
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A stone of mass m, tied to a string, is being whirled in a vertical circle with a uniform speed. The tension in the string is:
| 1. | the same throughout the motion |
| 2. | minimum at the highest position of the circular path |
| 3. | minimum at the lowest position of the circular path |
| 4. | minimum when the rope is in the horizontal position |
Subtopic: Uniform Circular Motion |
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An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the descent will be equal to: [Use g = 10ms-2]
1. 1 : 1
2. \(\sqrt 2 : \sqrt 3\)
3. \(\sqrt 3 : \sqrt 2\)
4. 2 : 3
1. 1 : 1
2. \(\sqrt 2 : \sqrt 3\)
3. \(\sqrt 3 : \sqrt 2\)
4. 2 : 3
Subtopic: Friction |
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A uniform chain of 6 m in length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The coefficient of static friction between the chain and the surface of the table is 0.5. The maximum length of the chain hanging from the table is:
1. 1 m
2. 2 m
3. 3 m
4. 4 m
1. 1 m
2. 2 m
3. 3 m
4. 4 m
Subtopic: Friction |
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A force on an object of mass 100g is \((10 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}) \mathrm{N}\). The position of the object at t= 2s is \((a \hat{i}+b \hat{j}) m\) after starting from rest. The value of \(a \over b\) will be:
1. 6
2. 3
3. 7
4. 2
1. 6
2. 3
3. 7
4. 2
Subtopic: Application of Laws |
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A disc with a flat small bottom beaker placed on it at a distance \(R\) from its centre is revolving about an axis passing through the centre and perpendicular to its plane with an angular velocity \(\omega\). The coefficient of static friction between the bottom of the beaker and the surface of the disc is \(\mu\). The beaker will revolve with the disc if:
1. \({R} \leq \frac{\mu{g}}{2 \omega^2} \)
2. \(R \leq \frac{\mu g}{\omega^2} \)
3. \(R \geq \frac{\mu g}{2 \omega^2} \)
4. \(R \geq \frac{\mu g}{\omega^2}\)
1. \({R} \leq \frac{\mu{g}}{2 \omega^2} \)
2. \(R \leq \frac{\mu g}{\omega^2} \)
3. \(R \geq \frac{\mu g}{2 \omega^2} \)
4. \(R \geq \frac{\mu g}{\omega^2}\)
Subtopic: Uniform Circular Motion |
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A curve in a level road has a radius of \(75\) m. The maximum speed of a car turning this curved road can be \(30\) m/s without skidding. If the radius of the curved road is changed to \(48\) m and the coefficient of friction between the tyres and the road remains the same, then the maximum allowed speed would be:
1. \(12\) m/s
2. \(24\) m/s
3. \(32\) m/s
4. \(44\) m/s
1. \(12\) m/s
2. \(24\) m/s
3. \(32\) m/s
4. \(44\) m/s
Subtopic: Banking of Roads |
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A block of mass \(200~\text{grams} \) is kept stationary on a smooth inclined plane by applying a minimum horizontal force \(F=\sqrt{x}~\text{N}\) as shown in the figure. The value of \(x\): (Take \(g=10\text{ m/s}^2\))
1. \(5\)
2. \(10\)
3. \(14\)
4. \(12\)
1. \(5\)
2. \(10\)
3. \(14\)
4. \(12\)
Subtopic: Application of Laws |
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A person is standing in an elevator. In which situation does he experience weight loss?
| 1. | When the elevator moves upward with constant acceleration. |
| 2. | When the elevator moves downward with constant acceleration. |
| 3. | When the elevator moves upward with uniform velocity. |
| 4. | When the elevator moves downward with uniform velocity. |
Subtopic: Application of Laws |
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