Q. No.
| 1. | \(4\) | 2. | \(3\) |
| 3. | \(2\) | 4. | \(1\) |
A rocket with a lift-off mass of \(20,000\) \(\mathrm{kg}\) is blasted upwards with an initial acceleration of \(5~\mathrm{ms}^{-2}\). Then initial thrust (force) of the blast is:
(Take \(g=10\) \(\mathrm{ms}^{-2}\))
1. \(7 \times 10^5 \mathrm{~N} \)
2. \(0 \)
3. \(2 \times 10^5 \mathrm{~N} \)
4. \(3 \times 10^5 \mathrm{~N}\)
A body of mass \(10 ~\text{Kg}\) is acted upon by two perpendicular forces, \(6 ~\text{N}\) and \(8 ~\text{N}.\) The resultant acceleration of the body is:
| (a) | \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{4}{3}\right ) \) w.r.t. \(6 ~\text{N}\) force. |
| (b) | \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8 ~\text{N}\) force. |
| (c) | \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8 ~\text{N}\) force. |
| (d) | \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(6 ~\text{N}\) force. |
Choose the correct option:
| 1. | (a), (c) | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (b), (c) |
If the tension in the cable supporting an elevator is equal to the weight of the elevator, the elevator may be:
| (a) | going up with increasing speed |
| (b) | going down with increasing speed |
| (c) | going up with uniform speed |
| (d) | going down with uniform speed |
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. all of the above
(Consider the system is in equilibrium condition, mass of rope\(=4\) kg and \(g=10\) m/s2.)
1. \(100\) N
2. \(120\) N
3. \(140\) N
4. \(190\) N
| 1. | \(mg\sin60^\circ\) | 2. | \(mg\cos60^\circ\) |
| 3. | \(mg\tan60^\circ\) | 4. | \(mg\cot60^\circ\) |
(take \(g=10\) m/s2)
1. \(12:10:11\)
2. \(11:10:9\)
3. \(11:10:8\)
4. \(12:10:12\)
A block of mass \(3\) kg is placed on a rough surface \((\mu=0.2)\) and a variable force acts on it. Variation of acceleration of block with time is correctly shown by the graph:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
In order to stop a car in shortest distance on a horizontal road, one should:
| 1. | apply the brakes very hard so that the wheels stop rotating. |
| 2. | apply the brakes hard enough to just prevent slipping. |
| 3. | pump the brakes (press and release). |
| 4. | shut the engine off and not apply brakes. |
1. \(100~\text N\)
2. \(60~\text N\)
3. \(40~\text N\)
4. \(20~\text N\)
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