Q. No.A person of mass \(60~\text{kg}\) is standing in an elevator. Column-I lists different motion conditions of the elevator and Column-II provides the corresponding normal force (i.e., the force exerted by the floor on the person). Match the entries in Column-I with the appropriate values in Column-II.
| Column-I | Column-II | ||
| (A) | Elevator moving at constant speed | (I) | Force on the floor by the person \(=600\) N |
| (B) | Elevator accelerating upward at \(3~\text{ms}^{-2}\) | (II) | Force on the floor by the person \(=780\) N |
| (C) | Elevator accelerating downward at \(3~\text{ms}^{-2}\) | (III) | Force on the floor by the person \(=420\) N |
| 1. | \(\mathrm{A\text-I,B\text-II,C\text-III}\) | 2. | \(\mathrm{A\text-II,B\text-I,C\text-III}\) |
| 3. | \(\mathrm{A\text-III,B\text-I,C\text-II}\) | 4. | \(\mathrm{A\text-III,B\text-II,C\text-I}\) |
Subtopic: Â Application of Laws |
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A block of metal weighing 2 kg is resting on a frictionless plane (as shown in the figure). It is struck by a jet releasing water at a rate of 1 kgs-1 and at a speed of 10 ms-1. Then, the initial acceleration of the block, in ms-2, will be:
1. 3
2. 6
3. 5
4. 4
1. 3
2. 6
3. 5
4. 4
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The motion of a particle of mass \(m\) is described by \(y=ut+\frac{1}{2}gt^{2}.\) The force acting on the particle is:
1. \(3mg\)
2. \(mg\)
3. \(\frac{mg}{2}\)
4. \(2mg\)
Subtopic: Â Application of Laws |
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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) |
Subtopic: Â Application of Laws |
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NEET - 2022
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Two masses, \(M_1\)​ and \(M_2,\) are connected by a light, inextensible string that passes over a frictionless pulley. When the mass \(M_2\)​ is twice that of \(M_1,\) the system experiences an acceleration \(a_1.\) Similarly, when \(M_2\)​ is three times the mass of \(M_1,\) the system’s acceleration becomes \(a_2.\) The ratio The ratio \(\dfrac{a_1}{a_2}\) will be:
| 1. | \(1 \over 3\) | 2. | \(2 \over 3\) |
| 3. | \(3 \over 2\) | 4. | \(1 \over 2\) |
Subtopic: Â Application of Laws |
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A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be :
1. \(\frac{\mathrm{g}}{4} \)
2. \(\frac{\mathrm{g}}{2} \)
3. \(\frac{3 \mathrm{~g}}{4} \)
4. g
1. \(\frac{\mathrm{g}}{4} \)
2. \(\frac{\mathrm{g}}{2} \)
3. \(\frac{3 \mathrm{~g}}{4} \)
4. g
Subtopic: Â Application of Laws |
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A boy pushes a box of mass \(2\) 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 \(\mathrm{x}\)-axis after \(10\) s is:
1. \(100\) m
2. \(300\) m
3. \(500\) m
4. \(700\) m
Subtopic: Â Application of Laws |
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Assume that the rope and pulley are ideal, and that the system is frictionless. For what value of \(m\) will the \(4~\text{kg}\) remain at rest?
1. \(4~\text{kg}\)
2. \(8~\text{kg}\)
3. \(2~\text{kg}\)
4. \(1~\text{kg}\)
1. \(4~\text{kg}\)
2. \(8~\text{kg}\)
3. \(2~\text{kg}\)
4. \(1~\text{kg}\)
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A man of mass \(70~\text{kg}\) stands on a weighing scale in a lift that is moving. What would be the reading if the lift mechanism failed and it hurtled down freely under gravity?
1. \(105~\text{kg}\)
2. \(70~\text{kg}\)
3. Zero
4. \(10~\text{kg}\)
Subtopic: Â Application of Laws |
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A box of mass \(M\) lies on the floor of a descending lift. The lift accelerates downward with an acceleration \(a.\) What should be the value of \(a\) such that the box exerts a force of \(\dfrac{Mg}{4}\)​ on the floor?
| 1. | \(\dfrac{g}{4}\) | 2. | \(\dfrac{g}{2}\) |
| 3. | \(\dfrac{3g}{4}\) | 4. | \(3g\) |
Subtopic: Â Application of Laws |
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