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Laws of Motion — JEE Main & Advanced Physics PYQs

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

579 questionsPhysicsSolutions on every page
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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. The co

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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 c

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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 vel

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Three masses m₁ = 4 kg, m₂ = 4 kg and m₃ = 6 kg are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of T₁/T₂ is _____. (take g = 10 m/s ^2

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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 wedge

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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 ______.

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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

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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 mass

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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 a₀ . The angle betwe

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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

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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 . The

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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 the

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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 .

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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 s

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A block is sliding down on an inclined plane of slope 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

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

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A 4 kg mass moves under the influence of a force F = (4 t³ 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 wi

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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 groun

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

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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

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A body of mass m is suspended by two strings making angles ₁ and ₂ with the horizontal ceiling with tensions T₁ and T₂ simultaneously. T₁ and T₂ are related by T₁= 3 T₂ . the angle

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A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitude of tensions T₁ and T₂ , respectively, are (in N) :

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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 ____

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

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A car of mass ' m ' moves on a banked road having radius ' r ' and banking angle . To avoid slipping from banked road, the maximum permissible speed of the car is v₀ . The coeffici

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A massless spring gets elongated by amount x₁ under a tension of 5 N . Its elongation is x₂ under the tension of 7 N . For the elongation of (5 x₁-2 x₂ ) , the tension in the sprin

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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^ with r

JEE Main 2024 Solution View → 28

A light unstretchable string passing over a smooth light pulley connects two blocks of masses m₁ and m₂ . If the acceleration of the system is g 8 , then the ratio of the masses m₂

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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 coefficient of

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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 ) :

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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 nego

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A light string passing over a smooth light pulley connects two blocks of masses m₁ and m₂ (where m₂>m₁ ). If the acceleration of the system is g 2 , then the ratio of the masses m₁

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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 :

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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 cylind

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Three blocks M₁, M₂, M₃ 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, T₁ w

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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:

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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 w

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

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A body of mass 4 kg 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:

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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 s

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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

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A block of mass 5 kg 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 forc

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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 c

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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 velo

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

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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 block

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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 kg is:

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

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A particle is moving in a circle of radius 50 cm 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 4 m

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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 fo

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

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The position vector of a particle related to time t is given by r → = 10 t 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 500 g 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:

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

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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 curre

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

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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 mass m

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

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As shown in the figure a block of mass 10 kg 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

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

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

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

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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 ten

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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

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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

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

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

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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 :

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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 ju

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A body of mass 200 g is tied to a spring of spring constant 12 . 5 N 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 s

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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 = 10 m s - 2 )

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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 exerted

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Two bodies of masses m 1 = 5 kg and m 2 = 3 kg 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 at

JEE Main 2022 Solution View → 74

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

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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 correc

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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 of

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

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 w

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A block A takes 2 s 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 ° ,

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

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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 . the acceler

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

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

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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

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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 = _____ .

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

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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 &#3

JEE Main 2022 Solution View → 88

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

JEE Main 2022 Solution View → 89

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

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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 being

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 sp

JEE Main 2022 Solution View → 92

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

JEE Main 2022 Solution View → 93

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

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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 true for this ar

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

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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 w

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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 ang

JEE Main 2022 Solution View → 98

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

JEE Main 2022 Solution View → 99

A block of mass 200 g 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 6 m 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 100 g is 10 i ^ + 5 j ^ N . The position of that object at t = 2 s 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 10 kg 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 cover

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 = 8 kg ,

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 d

JEE Main 2021 Solution View → 106

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

JEE Main 2021 Solution View → 107

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

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 (t

JEE Main 2021 Solution View → 109

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

JEE Main 2021 Solution View → 110

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

JEE Main 2021 Solution View → 111

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

JEE Main 2021 Solution View → 112

A bullet of 4 g mass is fired from a gun of mass 4 kg . 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 ) = A sin ω t + B cos ω t with ω = K m . Su

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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 tim

JEE Main 2021 Solution View → 115

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

JEE Main 2021 Solution View → 116

A steel block of 10 kg 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 . 2 m s - 2

JEE Main 2021 Solution View → 117

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

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 ma

JEE Main 2021 Solution View → 119

A body of mass 1 kg 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 4 kg is standing on a piece of wood having mass 5 kg . If the coefficient of friction between the wood and the floor is 0 . 5 , the maximum force that the boy can exe

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