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:  Application of Laws |
85%
From NCERT
NEET - 2022
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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. $$4.2~\text{kg-m/s}$$

Subtopic:  Application of Laws |
56%
From NCERT
NEET - 2021
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Two bodies of mass, $$4~\text{kg}$$ and $$6~\text{kg}$$, are tied to the ends of a massless string. The string passes over a pulley, which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity ($$g$$) is:

 1 $$\frac{g}{2}$$ 2 $$\frac{g}{5}$$ 3 $$\frac{g}{10}$$ 4 $$g$$

Subtopic:  Application of Laws |
83%
From NCERT
NEET - 2020
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A truck is stationary and has a bob suspended by a light string in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of $$a.$$ In the frame of the truck, the pendulum will tilt:

 1 to the left and the angle of inclination of the pendulum with the vertical is $$\text{sin}^{-1} \left( \frac{a}{g} \right )$$ 2 to the left and the angle of inclination of the pendulum with the vertical is $$\text{cos}^{-1} \left ( \frac{a}{g} \right )$$ 3 to the left and the angle of inclination of the pendulum with the vertical is $$\text{tan}^{-1} \left ( \frac{a}{g} \right )$$ 4 to the left and the angle of inclination of the pendulum with the vertical is $$\text{tan}^{-1} \left ( \frac{g}{a} \right )$$
Subtopic:  Application of Laws |
78%
From NCERT
NEET - 2019
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A block of mass $$m$$ is placed on a smooth inclined wedge $$ABC$$ of inclination $$\theta$$ as shown in the figure. The wedge is given an acceleration '$$a$$' towards the right. The relation between $$a$$ and $$\theta$$ for the block to remain stationary on the wedge is:

1. $$a = \frac{g}{\text{cosec}\theta}$$
2. $$a = \frac{g}{\text{sin}\theta}$$
3. $$a = g~\text{cos}\theta$$
4. $$a = g~\text{tan}\theta$$

Subtopic:  Application of Laws |
78%
From NCERT
NEET - 2018
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A balloon with mass $$m$$ is descending down with an acceleration $$a$$ (where $$a<g$$). How much mass should be removed from it so that it starts moving up with an acceleration $$a$$?

 1 $$\frac{2 m a}{g+a}$$ 2 $$\frac{2 m a}{g-a}$$ 3 $$\frac{m a}{g+a}$$ 4 $$\frac{m a}{g-a}$$

Subtopic:  Application of Laws |
61%
From NCERT
AIPMT - 2014
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Three blocks with masses $$m$$, $$2m$$, and $$3m$$ are connected by strings as shown in the figure. After an upward force $$F$$ is applied on block $$m$$, the masses move upward at constant speed $$v$$. What is the net force on the block of mass $$2m$$? ($$g$$ is the acceleration due to gravity)

 1 $$2~mg$$ 2 $$3~mg$$ 3 $$6~mg$$ 4 zero
Subtopic:  Application of Laws |
75%
From NCERT
AIPMT - 2013
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A person of mass $$60$$ kg is inside a lift of mass $$940$$ kg and presses the button on control panel. The lift starts moving upwards with an acceleration of $$1.0~\mathrm{ms^{-1}}$$${}^{}$. If $$g=10~\mathrm{ms^{-2}}$$${}^{}$, the tension in the supporting cable is:
1. $$9680~\mathrm{N}$$
2. $$11000~\mathrm{N}$$
3. $$1200~\mathrm{N}$$
4. $$8600~\mathrm{N}$$

Subtopic:  Application of Laws |
93%
From NCERT
AIPMT - 2011
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The mass of a lift is $$2000$$ kg. When the tension in the supporting cable is $$28000$$ N, then its acceleration is:
(Take $$g=10$$ m/s2)

 1 $$30$$ ms-2 downwards 2 $$4$$ ms-2 upwards 3 $$4$$ ms-2 downwards 4 $$14$$ ms-2 upwards
Subtopic:  Application of Laws |
84%
From NCERT
AIPMT - 2009
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A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of ${30°}^{\mathrm{}}$ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 s, the average force acting on the wall is:

1. 48 N

2. 24 N

3. 12 N

4. 96 N

Subtopic:  Application of Laws |
76%
From NCERT
AIPMT - 2006
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