1. | \(mg\sin60^\circ\) | 2. | \(mg\cos60^\circ\) |
3. | \(mg\tan60^\circ\) | 4. | \(mg\cot60^\circ\) |
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. |
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 |
1. | coin at \(3\) cm will slip. |
2. | coin at \(12\) cm will slip. |
3. | both coins will slip. |
4. | no coin will slip. |
1. | \(\dfrac g 3\) to left, \(g\) upward, \(g\) downward. |
2. | \(g\) downward. | zero, zero,
3. | \(g\) upward, \(g\) downward. | zero,
4. | \(g\) to right, zero, \(g\) downward. |
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. | \(750~\text{m}\) |
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) | \(S\) |
(a) | (b) | (c) | (d) | |
1. | (ii) | (i) | (iii) | (iv) |
2. | (iv) | (ii) | (iii) | (i) |
3. | (iv) | (iii) | (ii) | (i) |
4. | (ii) | (iii) | (iv) | (i) |
Assertion (A): | Improper banking of roads causes wear and tear of tyres. |
Reason (R): | The necessary centripetal force in that event is provided by the force of friction between the tyres and the road. |
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. | Both (A) and (R) are False. |