Q. No.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. | \(mg\cot60^\circ\) |
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
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 |
(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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