Laws of Motion PYQs - Last 10 Years

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Practice 127 JEE Main Physics questions from Laws of Motion. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Laws of Motion Questions

Showing 50 of 127 filtered questions.

1Laws Of Motion

Two blocks ( $P$ and $Q$ ) with respectively masses 2 kg and 1.5 kg are joined by a massless thread. These blocks are mounted on a frictionless pully which is fixed on the edge of a cube $(S)$, as shown in the figure below. Block $P$ is pos...

2Laws Of Motion

A block takes $t$ time to slide down a plane inclined at $45^{\circ}$ to the horizontal. If the surface is made smooth (frictionless), the block takes time $\frac{t}{2}$ to slide down the plane. The coefficient of friction between the block...

INTEGER+4 / -12026

3Laws Of Motion

Three masses $m_1=4 \mathrm{~kg}, m_2=4 \mathrm{~kg}$ and $m_3=6 \mathrm{~kg}$ are suspended from a fixed smooth frictionless pully as shown in the figure below. The value of $T_1 / T_2$ is
$\_\_\_\_$
(take $g=10 \mathrm{~m} / \mathrm{s}^2$...

4Laws Of Motion

A wedge $Y$ with mass of 10 kg and all frictionless surfaces and the inclined surface making $37^{\circ}$ with horizontal. A block $X$ with mass 2 kg is placed at the highest point of the wedge as shown in figure is at rest. At $t=0$ wedge ...

5Laws Of Motion

The time taken by a block of mass $m$ to slide down from the highest point to the lowest point on a rough inclined plane is $50 \%$ more compared to the time taken by the same block on identical inclined smooth plane. Both inclined planes a...

6Laws Of Motion

A block of mass 5 kg is moving on an inclined plane which makes an angle of $30^{\circ}$ with the horizontal. Friction coefficient between the block and inclined plane surface is $\frac{\sqrt{3}}{2}$. The force to be applied on the block so...

7Laws Of Motion

A particle of mass $m$ falls from rest through a resistive medium having resistive force, $F=-k v$, where $v$ is the velocity of the particle and $k$ is a constant. Which of the following graphs represents velocity $(v)$ versus time $(t)$ ?

8Laws Of Motion

A small block of mass m slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration $a_0$. The angle between the inclined plane and ground is $\theta$ and its base ...

9Laws Of Motion

In the given figure the blocks $A, B$ and $C$ weigh $4 \mathrm{~kg}, 6 \mathrm{~kg}$ and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5 . The force $\vec{F}$ required to slide the block $C$ with cons...

INTEGER+4 / -12026

10Laws Of Motion

A flexible chain of mass $m$ hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is $30^{\circ}$. Considering the equilibrium of each half of the chain, the tension...

11Laws Of Motion

A block is sliding down on an inclined plane of slope $\theta$ and at an instant $t=0$ this block is given an upward momentum so that it starts moving up on the inclined surface with velocity $u$. The distance $(S)$ travelled by the block b...

12Laws Of Motion

A 4 kg mass moves under the influence of a force $\vec{F}=\left(4 t^3 \hat{i}-3 t \hat{j}\right) \mathrm{N}$ where $t$ is the time in second. If mass starts from origin at $t=0$, the velocity and position after $t=2 \mathrm{~s}$ will be:

13Laws Of Motion

A body of mass 2 kg moving with velocity of $ \vec{v}_{in} = 3 \hat{i} + 4 \hat{j} \text{ ms}^{-1} $ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $ \frac{5}{3} $ s...

14Laws Of Motion

A cubic block of mass $m$ is sliding down on an inclined plane at $60^{\circ}$ with an acceleration of $\frac{g}{2}$, the value of coefficient of kinetic friction is

15Laws Of Motion

An object with mass 500 g moves along x-axis with speed $v = 4\sqrt{x}$ m/s. The force acting on the object is :

16Laws Of Motion

A body of mass $m$ is suspended by two strings making angles $\theta_1$ and $\theta_2$ with the horizontal ceiling with tensions $T_1$ and $T_2$ simultaneously. $T_1$ and $T_2$ are related by $T_1=\sqrt{3} T_2$, the angles $\theta_1$ and $\...

17Laws Of Motion

A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region ranging from $x=0.1 \mathrm{~m}$ to $x=1.9 \mathrm{~m}$. The retarding force acting on the block in this range is $\mathrm{F}_{\mathr...

18Laws Of Motion

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $\mathrm{T}_1$ and $\mathrm{T}_2$, respectively, are (in N ) :
(Take acceleration due to gravity $10 \mathrm{~m} / \mathr...

19Laws Of Motion

A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass that must be released from the content so that the balloon starts moving up with an acceleration ‘3a’ will be(Take ‘g’ as acceleration due to gravity)

20Laws Of Motion

A massless spring gets elongated by amount $x_1$ under a tension of 5 N . Its elongation is $x_2$ under the tension of 7 N . For the elongation of $\left(5 x_1-2 x_2\right)$, the tension in the spring will be,

21Laws Of Motion

A light unstretchable string passing over a smooth light pulley connects two blocks of masses \(m_1\) and \(m_2\). If the acceleration of the system is \(\frac{g}{8}\), then the ratio of the masses \(\frac{m_2}{m_1}\) is :

22Laws Of Motion

A heavy iron bar, of weight \(W\) is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle \(\theta\) with the horizontal. The weight experienced by the person is :

23Laws Of Motion

A \(1 \mathrm{~kg}\) mass is suspended from the ceiling by a rope of length \(4 \mathrm{~m}\). A horizontal force '\(F\)' is applied at the mid point of the rope so that the rope makes an angle of \(45^{\circ}\) with respect to the vertical...

24Laws Of Motion

A player caught a cricket ball of mass \(150 \mathrm{~g}\) moving at a speed of \(20 \mathrm{~m} / \mathrm{s}\). If the catching process is completed in \(0.1 \mathrm{~s}\), the magnitude of force exerted by the ball on the hand of the play...

25Laws Of Motion

A given object takes \(\mathrm{n}\) times the time to slide down \(45^{\circ}\) rough inclined plane as it takes the time to slide down an identical perfectly smooth \(45^{\circ}\) inclined plane. The coefficient of kinetic friction between...

26Laws Of Motion

A light string passing over a smooth light pulley connects two blocks of masses \(m_1\) and \(m_2\left(\right.\) where \(\left.m_2>m_1\right)\). If the acceleration of the system is \(\frac{g}{\sqrt{2}}\), then the ratio of the masses $$\fr...

27Laws Of Motion

A body of weight \(200 \mathrm{~N}\) is suspended from a tree branch through a chain of mass \(10 \mathrm{~kg}\). The branch pulls the chain by a force equal to (if \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\)) :

28Laws Of Motion

Three blocks \(\mathrm{M_1, M_2, M_3}\) having masses \(4 \mathrm{~kg}, 6 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope $$\mathrm{1, T_1...

INTEGER+4 / -12024

29Laws Of Motion

A wooden block of mass \(5 \mathrm{~kg}\) rests on a soft horizontal floor. When an iron cylinder of mass \(25 \mathrm{~kg}\) is placed on the top of the block, the floor yields and the block and the cylinder together go down with an accele...

30Laws Of Motion

A heavy box of mass \(50 \mathrm{~kg}\) is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is :

31Laws Of Motion

A particle moves in \(x\)-\(y\) plane under the influence of a force \(\vec{F}\) such that its linear momentum is \(\overrightarrow{\mathrm{p}}(\mathrm{t})=\hat{i} \cos (\mathrm{kt})-\hat{j} \sin (\mathrm{kt})\). If \(\mathrm{k}\) is consta...

32Laws Of Motion

A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time \(t\). Which of the following curve best describes acceleration of the block with time :

33Laws Of Motion

Two forces \(\overline{\mathrm{F}}_1\) and \(\overline{\mathrm{F}}_2\) are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle bet...

INTEGER+4 / -12024

34Laws Of Motion

A \(2 \mathrm{~kg}\) brick begins to slide over a surface which is inclined at an angle of \(45^{\circ}\) with respect to horizontal axis. The co-efficient of static friction between their surfaces is:

35Laws Of Motion

In the given arrangement of a doubly inclined plane two blocks of masses \(M\) and \(m\) are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the pl...

36Laws Of Motion

A light string passing over a smooth light fixed pulley connects two blocks of masses \(m_1\) and \(m_2\). If the acceleration of the system is \(g / 8\), then the ratio of masses is:

37Laws Of Motion

A block of mass \(5 \mathrm{~kg}\) is placed on a rough inclined surface as shown in the figure. If \(\overrightarrow{F_1}\) is the force required to just move the block up the inclined plane and \(\overrightarrow{F_2}\) is the force requi...

38Laws Of Motion

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass \(2 \mathrm{~kg}\) is :

39Laws Of Motion

Three blocks \(A, B\) and \(C\) are pulled on a horizontal smooth surface by a force of \(80 \mathrm{~N}\) as shown in figure

The tensions T\(_1\) and T\(_2\) in the string are respectively :

40Laws Of Motion

A block of mass \(m\) is placed on a surface having vertical crossection given by \(y=x^2 / 4\). If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

41Laws Of Motion

Given below are two statements :
Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.
Statement (II) : The limiting force of kinetic friction is independent of the area of contac...

42Laws Of Motion

Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04 , the acceleration of the system in $\mathrm{ms}^{-2}$ is :
(Consider that the string is massless and...

43Laws Of Motion

A cricket player catches a ball of mass $120 \mathrm{~g}$ moving with $25 \mathrm{~m} / \mathrm{s}$ speed. If the catching process is completed in $0.1 \mathrm{~s}$ then the magnitude of force exerted by the ball on the hand of player will ...

44Laws Of Motion

A body of mass $4 \mathrm{~kg}$ experiences two forces $\vec{F}_1=5 \hat{i}+8 \hat{j}+7 \hat{k}$ and $\overrightarrow{\mathrm{F}}_2=3 \hat{i}-4 \hat{j}-3 \hat{k}$. The acceleration acting on the body is :

45Laws Of Motion

At any instant the velocity of a particle of mass \(500 \mathrm{~g}\) is \(\left(2 t \hat{i}+3 t^{2} \hat{j}\right) \mathrm{ms}^{-1}\). If the force acting on the particle at \(t=1 \mathrm{~s}\) is \((\hat{i}+x \hat{j}) \mathrm{N}\). Then t...

46Laws Of Motion

As shown in figure, a \(70 \mathrm{~kg}\) garden roller is pushed with a force of \(\vec{F}=200 \mathrm{~N}\) at an angle of \(30^{\circ}\) with horizontal. The normal reaction on the roller is
(Given \(\mathrm{g=10~m~s^{-2}}\))

47Laws Of Motion

A body of mass $10 \mathrm{~kg}$ is moving with an initial speed of $20 \mathrm{~m} / \mathrm{s}$. The body stops after $5 \mathrm{~s}$ due to friction between body and the floor. The value of the coefficient of friction is: (Take accelerat...

48Laws Of Motion

A block of $\sqrt{3} \mathrm{~kg}$ is attached to a string whose other end is attached to the wall. An unknown force $\mathrm{F}$ is applied so that the string makes an angle of $30^{\circ}$ with the wall. The tension $\mathrm{T}$ is:
(Give...

49Laws Of Motion

A block of mass $m$ slides down the plane inclined at angle \(30^{\circ}\) with an acceleration \(\frac{g}{4}\). The value of coefficient of kinetic friction will be:

50Laws Of Motion

The time taken by an object to slide down 45\(^\circ\) rough inclined plane is n times as it takes to slide down a perfectly smooth 45\(^\circ\) incline plane. The coefficient of kinetic friction between the object and the incline plane is ...