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JEE Laws of Motion PYQs with Solutions

579 previous year questions from Laws of Motion (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

579 questionsPhysics2005–2026Answers + solutions

About Laws of Motion PYQs

Laws of Motion has 579 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (190) and JEE Advanced (30), spanning 2005 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 17
  • 2025: 9
  • 2024: 25
  • 2023: 21
  • 2022: 30
  • 2021: 29
  • 2020: 10
  • 2019: 12
  • 2018: 10
  • 2017: 2
  • 2016: 7
  • 2015: 2

Laws of Motion questions with solutions

1

A block takes t time to slide down a plane inclined at 45° to the horizontal. If the surface is made smooth (frictionless), the block takes time (t)/(2) to slide down the plane.

JEE Main 2026 Solution View → 2

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 pulley which is fixed on the edge of a

JEE Main 2026 Solution View → 3

A mass of 1 kg is kept on an inclined plane with 30° inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant

JEE Main 2026 Solution View → 4

Three masses m_1 = 4 kg, m_2 = 4 kg and m_3 = 6 kg are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of T_1/T_2 is _____. (take g = 10

JEE Main 2026 Solution View → 5

A wedge Y with mass of 10 kg and all frictionless surfaces and the inclined surface making 37° with horizontal. A block X with mass 2 kg is placed at the highest point of the

JEE Main 2026 Solution View → 6

At t=0 , a body of mass 100 g starts moving under the influence of a force (5 i +10 j ) N. After 2 s its position is (2x i +5y j ) m. The ratio x:y is ______.

JEE Main 2026 Solution View → 7

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

JEE Main 2026 Solution View → 8

A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum rotational speed of the drum to enable the

JEE Main 2026 Solution View → 9

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

JEE Main 2026 Solution View → 10

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

JEE Main 2026 Solution View → 11

A block of mass 5 kg is moving on an inclined plane which makes an angle of 30^ ∘ with the horizontal. Friction coefficient between the block and inclined plane surface is 3 2 .

JEE Main 2026 Solution View → 12

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^ ∘ . Considering

JEE Main 2026 Solution View → 13

A spring of force constant 15 ~N / m is cut into two pieces. If the ratio of their length is 1: 3 , then the force constant of smaller piece is \_\_\_\_ N / m .

JEE Main 2026 Solution View → 14

In the given figure the blocks A, B and C weigh 4 ~kg, 6 ~kg and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5. The force F required to

JEE Main 2026 Solution View → 15

A block is sliding down on an inclined plane of slope θ and at an instant t=0 this block is given an upward momentum so that it starts moving up on the inclined surface with

JEE Main 2026 Solution View → 16

A large drum having radius R is spinning around its axis with angular velocity ω , as shown in figure. The minimum value of ω so that a body of mass M remains stuck to the inner

JEE Main 2026 Solution View → 17

A 4 kg mass moves under the influence of a force F =(4 t^ 3 i -3 t j ) N where t is the time in second. If mass starts from origin at t=0 , the velocity and position after t=2 ~s

JEE Main 2026 Solution View → 18

A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg . Suppose that the variation of the height y (in m ) of the elevator, from the

JEE Advanced 2025 Solution View → 19

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

JEE Main 2025 Solution View → 20

A cubic block of mass m is sliding down on an inclined plane at 60^ ∘ with an acceleration of g 2 , the value of coefficient of kinetic friction is

JEE Main 2025 Solution View → 21

A body of mass m is suspended by two strings making angles θ_1 and θ_2 with the horizontal ceiling with tensions T_1 and T_2 simultaneously. T_1 and T_2 are related by T_1= 3 T_2

JEE Main 2025 Solution View → 22

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitude of tensions T_1 and T_2 , respectively, are (in N) :

JEE Main 2025 Solution View → 23

The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N , the length of the string is 1.56 m. The original length of the string is

JEE Main 2025 Solution View → 24

A string of length L is fixed at one end and carries a mass of M at the other end. The mass makes ((3)/(π)) rotations per second about the vertical axis passing through end of the

JEE Main 2025 Solution View → 25

A car of mass ' m ' moves on a banked road having radius ' r ' and banking angle θ . To avoid slipping from banked road, the maximum permissible speed of the car is v_0 . The

JEE Main 2025 Solution View → 26

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 (5 x_1-2 x_2) , the tension in the

JEE Main 2025 Solution View → 27

A 1 ~kg mass is suspended from the ceiling by a rope of length 4 ~m . A horizontal force ' F ' is applied at the mid point of the rope so that the rope makes an angle of 45^ ∘

JEE Main 2024 Solution View → 28

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 (g)/(8) , then the ratio of the

JEE Main 2024 Solution View → 29

A given object takes n times the time to slide down 45^ ∘ rough inclined plane as it takes the time to slide down an identical perfectly smooth 45^ ∘ inclined plane. The

JEE Main 2024 Solution View → 30

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

JEE Main 2024 Solution View → 31

A car of 800 ~kg is taking turn on a banked road of radius 300 ~m and angle of banking 30^ ∘ . If coefficient of static friction is 0.2 then the maximum speed with which car can

JEE Main 2024 Solution View → 32

A light string passing over a smooth light pulley connects two blocks of masses m_1 and m_2 (where m_2>m_1 ). If the acceleration of the system is g 2 , then the ratio of the

JEE Main 2024 Solution View → 33

A heavy box of mass 50 ~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 :

JEE Main 2024 Solution View → 34

A wooden block of mass 5 ~kg rests on a soft horizontal floor. When an iron cylinder of mass 25 ~kg is placed on the top of the block, the floor yields and the block and the

JEE Main 2024 Solution View → 35

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

JEE Main 2024 Solution View → 36

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

JEE Main 2024 Solution View → 37

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

JEE Main 2024 Solution View → 38

A cricket player catches a ball of mass 120g moving with 25m s ^ - 1 speed. If the catching process is completed in 0 . 1s then the magnitude of force exerted by the ball on the

JEE Main 2024 Solution View → 39

A body of mass 4kg experiences two forces → F 1 = 5 ^ i + 8 ^ j + 7 ^ k and → F 2 = 3 ^ i - 4 ^ j - 3 ^ k . The acceleration acting on the body is:

JEE Main 2024 Solution View → 40

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 m

JEE Main 2024 Solution View → 41

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

JEE Main 2024 Solution View → 42

A block of mass 5kg is placed on a rough inclined surface as shown in the figure. If → F 1 is the force required to just move the block up the inclined plane and → F 2 is the

JEE Main 2024 Solution View → 43

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

JEE Main 2024 Solution View → 44

A coin is placed on a disc. The coefficient of friction between the coin and the disc is μ . If the distance of the coin from the center of the disc is r , the maximum angular

JEE Main 2024 Solution View → 45

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80N as shown in figure. The tensions T _ 1 and T _ 2 in the string are respectively:

JEE Main 2024 Solution View → 46

A block of mass m is placed on a surface having vertical cross section given by y = x ^ 2 4 . If coefficient of friction is 0 . 5 , the maximum height above the ground at which

JEE Main 2024 Solution View → 47

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 2kg is:

JEE Main 2024 Solution View → 48

A stone of mass 900g is tied to a string and moved in a vertical circle of radius 1m making 10rpm . The tension in the string, when the stone is at the lowest point is (if π ^ 2 =

JEE Main 2024 Solution View → 49

A particle is moving in a circle of radius 50cm in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t = 0 is 4m s

JEE Main 2024 Solution View → 50

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

JEE Main 2024 Solution View → 51

A train is moving with a speed of 12m s ^ - 1 on rails which are 1 . 5m apart. To negotiate a curve radius 400m , the height by which the outer rail should be raised with respect

JEE Main 2024 Solution View → 52

The position vector of a particle related to time t is given by → r = (10t ^ i + 15 t ^ 2 ^ j + 7 ^ k )m . The direction of net force experienced by the particle is :

JEE Main 2023 Solution View → 53

A body of mass 500g moves along x -axis such that it's velocity varies with displacement x according to the relation v = 10 x m s ^ - 1 the force acting on the body is:

JEE Main 2023 Solution View → 54

A coin placed on a rotating table just slips when it is placed at a distance of 1cm from the centre. If the angular velocity of the table is halved, it will just slip when placed

JEE Main 2023 Solution View → 55

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : An electric fan continues to rotate for some time after the

JEE Main 2023 Solution View → 56

At any instant the velocity of a particle of mass 500g is (2t ^ i + 3 t ^ 2 ^ j )m s ^ - 1 . If the force acting on the particle at t = 1s is ( ^ i + x ^ j ) N . Then the value of

JEE Main 2023 Solution View → 57

A mass m is attached to two springs as shown in figure. The spring constants of two springs are K _ 1 and K _ 2 . For the frictionless surface, the time period of oscillation of

JEE Main 2023 Solution View → 58

A small block of mass 100g is tied to a spring of spring constant 7 . 5N m ^ - 1 and length 20cm . The other end of spring is fixed at a particular point A . If the block moves in

JEE Main 2023 Solution View → 59

As shown in the figure a block of mass 10kg lying on a horizontal surface is pulled by a force F acting at an angle 30 ° , with horizontal. For μ _ s = 0 . 25 , the block will

JEE Main 2023 Solution View → 60

A block of mass 5kg is placed at rest on a table of rough surface. Now, if a force of 30N is applied in the direction parallel to surface of the table, the block slides through a

JEE Main 2023 Solution View → 61

A body of mass 10kg is moving with an initial speed of 20m s ^ - 1 . The body stops after 5s due to friction between body and the floor. The value of the coefficient of friction

JEE Main 2023 Solution View → 62

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

JEE Main 2023 Solution View → 63

A block of 3 kg is attached to a string whose other end is attached to the wall. An unknown force F is applied so that the string makes an angle of 30 ° with the wall. The tension

JEE Main 2023 Solution View → 64

The figure represents the momentum time ( p - t ) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude

JEE Main 2023 Solution View → 65

The time taken by an object to slide down 45 ° rough inclined plane is n times as it takes to slide down a perfectly smooth 45 ° incline plane. The coefficient of kinetic friction

JEE Main 2023 Solution View → 66

Force acts for 20s on a body of mass 20kg , starting from rest, after which the force ceases and then body describes 50m in the next 10s . The value of force will be :

JEE Main 2023 Solution View → 67

A car is moving on a horizontal curved road with radius 50m . The approximate maximum speed of car will be, if friction between tyres and road is 0 . 34 . [Take g = 10m s ^ - 2 ]

JEE Main 2023 Solution View → 68

A block of mass m slides down the plane inclined at angle 30 ° with an acceleration (g)/(4) . The value of coefficient of kinetic friction will be :

JEE Main 2023 Solution View → 69

Consider a block kept on an inclined plane (inclined at 45 ° ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just

JEE Main 2023 Solution View → 70

A body of mass 200g is tied to a spring of spring constant 12 . 5N m ^ - 1 , while the other end of spring is fixed at point O . If the body moves about O in a circular path on a

JEE Main 2023 Solution View → 71

As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g = 10m s ^ - 2 )

JEE Main 2023 Solution View → 72

Given below are two statements: Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable. Statement-II: Force

JEE Main 2023 Solution View → 73

Two bodies of masses m _ 1 = 5kg and m _ 2 = 3kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is

JEE Main 2022 Solution View → 74

A tube of length 50cm is filled completely with an incompressible liquid of mass 250g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends

JEE Main 2022 Solution View → 75

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v . Which of the following curve represents the

JEE Main 2022 Solution View → 76

A uniform metal chain of mass m and length L passes over a massless and frictionless pulley. It is released from rest with a part of its length l is hanging on one side and rest

JEE Main 2022 Solution View → 77

A balloon has mass of 10g in air. The air escapes from the balloon at a uniform rate with velocity 4 . 5cm s ^ - 1 . If the balloon shrinks in 5s completely. Then, the average

JEE Main 2022 Solution View → 78

A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is θ . The magnitude of the contact force will

JEE Main 2022 Solution View → 79

A block A takes 2s to slide down a frictionless incline of 30 ° and length l , kept inside a lift going up with uniform velocity v . If the incline is changed to 45 ° , the time

JEE Main 2022 Solution View → 80

A bag is gently dropped on a conveyor belt moving at a speed of 2m s ^ - 1 . The coefficient of friction between the conveyor belt and bag is 0 . 4 Initially, the bag slips on the

JEE Main 2022 Solution View → 81

Two masses M _ 1 and M _ 2 are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass M _ 2 is twice that of M _ 1 .

JEE Main 2022 Solution View → 82

Three masses M = 100kg, m _ 1 = 10kg and m _ 2 = 20kg are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless.

JEE Main 2022 Solution View → 83

A monkey of mass 50kg climbs on a rope which can withstand the tension (T) of 350N . If monkey initially climbs down with an acceleration of 4m s ^ - 2 and then climbs up with an

JEE Main 2022 Solution View → 84

For a free body diagram shown in the figure, the four forces are applied in the ' x ' and ' y ' directions. What additional force must be applied and at what angle

JEE Main 2022 Solution View → 85

Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F _ 1 to F _ 2 is 1: x where x = _____ .

JEE Main 2022 Solution View → 86

A block of mass 40kg slides over a surface, when a mass of 4kg is suspended through an inextensible massless string passing over frictionless pulley as shown below. The

JEE Main 2022 Solution View → 87

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 '

JEE Main 2022 Solution View → 88

A block of metal weighing 2kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1kg s ^ - 1 and at a speed of 10 ms ^ - 1

JEE Main 2022 Solution View → 89

A block of mass 2kg moving on a horizontal surface with speed of 4 ms ^ - 1 enters a rough surface ranging from x = 0 . 5m to x = 1 . 5m . The retarding force in this range of

JEE Main 2022 Solution View → 90

A hanging mass M is connected to a four times bigger mass by using a string pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and

JEE Main 2022 Solution View → 91

One end of a massless spring of spring constant k and natural length l _ 0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The

JEE Main 2022 Solution View → 92

A mass of 10kg is suspended vertically by a rope of length 5m from the roof. A force of 30N is applied at the middle point of rope in horizontal direction. The angle made by upper

JEE Main 2022 Solution View → 93

A system of two blocks of masses m = 2kg and M = 8kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0 . 5 . The maximum

JEE Main 2022 Solution View → 94

In the arrangement shown in figure a _ 1 , a _ 2 , a _ 3 and a _ 4 are the accelerations of masses m _ 1 , m _ 2 , m _ 3 and m _ 4 respectively. Which of the following relation is

JEE Main 2022 Solution View → 95

A system to 10 balls each of mass 2kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure.

JEE Main 2022 Solution View → 96

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A

JEE Main 2022 Solution View → 97

A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an

JEE Main 2022 Solution View → 98

A curved in a level road has a radius 75m . The maximum speed of a car turning this curved road can be 30m s ^ - 1 without skidding. If radius of curved road is changed to 48m and

JEE Main 2022 Solution View → 99

A block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = x N as shown in figure. The value of x = _____ .

JEE Main 2022 Solution View → 100

A uniform chain of 6m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction

JEE Main 2022 Solution View → 101

A force on an object of mass 100g is (10 ^ i + 5 ^ j )N . The position of that object at t = 2s is (a ^ i + b ^ j )m after starting from rest. The value of (a)/(b) will be _____ .

JEE Main 2022 Solution View → 102

A block of mass 10kg starts sliding on a surface with an initial velocity of 9 . 8 ms ^ - 1 . The coefficient of friction between the surface and block is 0 . 5 . The distance

JEE Main 2022 Solution View → 103

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of

JEE Advanced 2021 Solution View → 104

A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is: Given m = 8kg, M

JEE Main 2021 Solution View → 105

The average translational kinetic energy of N _ 2 gas molecules at _________ C ∘ becomes equal to the K . E . of an electron accelerated from rest through a potential difference

JEE Main 2021 Solution View → 106

A car is moving on a plane inclined at 30 ° to the horizontal with an acceleration of 10 ms ^ - 2 parallel to the plane upward. A bob is suspended by a string from the roof of the

JEE Main 2021 Solution View → 107

The boxes of masses 2kg and 8kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8kg to strike the ground starting from

JEE Main 2021 Solution View → 108

The coefficient of static friction between two blocks is 0 . 5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is _______ N

JEE Main 2021 Solution View → 109

The initial mass of a rocket is 1000kg . Calculate at what rate the fuel should be burnt so that the rocket is given an acceleration of, 20 ms ^ - 2 . The gases come out at a

JEE Main 2021 Solution View → 110

A force → F = ( 40 ^ i + 10 ^ j ) N acts on a body of mass 5kg . If the body starts from rest, its position vector → r at time t = 10s will be

JEE Main 2021 Solution View → 111

Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108kmph (as shown) but at different angles. If the balls get reflected with the same speed, then the

JEE Main 2021 Solution View → 112

A bullet of 4g mass is fired from a gun of mass 4kg . If the bullet moves with the muzzle speed of 50 ms ^ 1 , the impulse imparted to the gun and velocity of recoil of gun are

JEE Main 2021 Solution View → 113

The motion of a mass on a spring, with spring constant K is as shown in figure. The equation of motion is given by, x ( t ) = Asin + Bcos with ω = (K)/(m) . Suppose that at time t

JEE Main 2021 Solution View → 114

A body of mass m is launched up on a rough inclined plane making an angle of 30 ° with the horizontal. The coefficient of friction between the body and plane is x 5 if the time of

JEE Main 2021 Solution View → 115

The normal reaction N for a vehicle of 800kg mass, negotiating a turn on a 30 ° banked road at maximum possible speed without skidding is ____ × 10 ^ 3 kgm s ^ - 2 .

JEE Main 2021 Solution View → 116

A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration 0 . 2m s ^

JEE Main 2021 Solution View → 117

A bullet of mass 0 . 1kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50cm into it. If the velocity of the bullet before hitting the

JEE Main 2021 Solution View → 118

Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K . A third block C of

JEE Main 2021 Solution View → 119

A body of mass 1kg rests on a horizontal floor with which it has a coefficient of static friction 1 3 . It is desired to make the body move by applying the minimum possible force

JEE Main 2021 Solution View → 120

A boy of mass 4kg is standing on a piece of wood having mass 5kg . If the coefficient of friction between the wood and the floor is 0 . 5, the maximum force that the boy can exert

JEE Main 2021 Solution View →
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