Q. No.A \(60\) kg man pushes a \(40\) kg man by a force of \(60\) N. The \(40\) kg man has pushed the other man with a force of:
1.
\(40\) N
2.
\(0\)
3.
\(60\) N
4.
\(20\) N
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
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. | \(mg\sin60^\circ\) | 2. | \(mg\cos60^\circ\) |
| 3. | \(mg\tan60^\circ\) | 4. | \(mg\cot60^\circ\) |
(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. | coin at \(3\) cm will slip. |
| 2. | coin at \(12\) cm will slip. |
| 3. | both coins will slip. |
| 4. | no coin will slip. |
A boy pushes a box of mass \(2~\text{kg}\) with a force \(\vec{F} = (20 \hat{i} + 10 \hat{j} )~\text{N}\) on a frictionless surface. If the box was initially at rest, then the displacement along the \(x\text-\)axis after \(10~\text{s}\) is:
| 1. | \(250~\text{m}\) | 2. | \(400~\text{m}\) |
| 3. | \(500~\text{m}\) | 4. | \(750~\text{m}\) |
| 1. | \(\dfrac g 3\) to left, \(g\) upward, \(g\) downward. |
| 2. | zero, zero, \(g\) downward. |
| 3. | zero, \(g\) upward, \(g\) downward. |
| 4. | \(g\) to right, zero, \(g\) downward. |
A ball of mass \(0.15~\text{kg}\) is dropped from a height \(10~\text{m}\), strikes the ground, and rebounds to the same height. The magnitude of impulse imparted to the ball is \((g=10 ~\text{m}/\text{s}^2)\) nearly:
| 1. | \(2.1~\text{kg-m/s}\) | 2. | \(1.4~\text{kg-m/s}\) |
| 3. | \(0~\text{kg-m/s}\) | 4. | \(4.2~\text{kg-m/s}\) |
When a body of mass \(m\) just begins to slide as shown, match List-I with List-II:
| List-I | List-II | ||
| (a) | Normal reaction | (i) | \(P\) |
| (b) | Frictional force \((f_s)\) | (ii) | \(Q\) |
| (c) | Weight \((mg)\) | (iii) | \(R\) |
| (d) | \(mg \mathrm{sin}\theta ~\) | (iv) | \(S\) |
Choose the correct answer from the options given below:
| (a) | (b) | (c) | (d) | |
| 1. | (ii) | (i) | (iii) | (iv) |
| 2. | (iv) | (ii) | (iii) | (i) |
| 3. | (iv) | (iii) | (ii) | (i) |
| 4. | (ii) | (iii) | (iv) | (i) |
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