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## Laws of Motion

### Physics

#### Previous Years Questions

More
The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing ...
JEE Main 2022 (Online) 27th July Evening Shift
A block 'A' takes 2 s to slide down a frictionless incline of 30$$^\circ$$ and length 'l', kept inside a lift going up w...
JEE Main 2022 (Online) 27th July Evening Shift
A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with...
JEE Main 2022 (Online) 27th July Evening Shift
A bag is gently dropped on a conveyor belt moving at a speed of $$2 \mathrm{~m} / \mathrm{s}$$. The coefficient of frict...
JEE Main 2022 (Online) 27th July Morning Shift
The area of cross section of the rope used to lift a load by a crane is $$2.5 \times 10^{-4} \mathrm{~m}^{2}$$. The maxi...
JEE Main 2022 (Online) 26th July Evening Shift
Two masses $$M_{1}$$ and $$M_{2}$$ are tied together at the two ends of a light inextensible string that passes over a f...
JEE Main 2022 (Online) 26th July Evening Shift
A monkey of mass $$50 \mathrm{~kg}$$ climbs on a rope which can withstand the tension (T) of $$350 \mathrm{~N}$$. If mon...
JEE Main 2022 (Online) 26th July Morning Shift
Three masses $$M=100 \mathrm{~kg}, \mathrm{~m}_{1}=10 \mathrm{~kg}$$ and $$\mathrm{m}_{2}=20 \mathrm{~kg}$$ are arranged...
JEE Main 2022 (Online) 26th July Morning Shift
For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional ...
JEE Main 2022 (Online) 25th July Evening Shift
A 2 kg block is pushed against a vertical wall by applying a horizontal force of 50 N. The coefficient of static frictio...
JEE Main 2022 (Online) 30th June Morning Shift
At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms$$-$$2. At t = 20 ...
JEE Main 2022 (Online) 30th June Morning Shift
A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms$$-$$1. The coefficient of friction ...
JEE Main 2022 (Online) 24th June Morning Shift
An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding fo...
JEE Main 2022 (Online) 24th June Evening Shift
In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Whi...
JEE Main 2022 (Online) 26th June Evening Shift
A person is standing in an elevator. In which situation, he experiences weight loss?
JEE Main 2022 (Online) 26th June Morning Shift
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 o...
JEE Main 2022 (Online) 27th June Morning Shift
A $$\sqrt {34}$$ m long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from th...
JEE Main 2022 (Online) 28th June Evening Shift
A block of mass 2 kg moving on a horizontal surface with speed of 4 ms$$-$$1 enters a rough surface ranging from x = 0.5...
JEE Main 2022 (Online) 28th June Evening Shift
A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-f...
JEE Main 2022 (Online) 29th June Evening Shift
A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string pa...
JEE Main 2022 (Online) 29th June Evening Shift
A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpen...
JEE Main 2022 (Online) 29th June Morning Shift
An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictio...
JEE Main 2021 (Online) 1st September Evening Shift
A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration ...
JEE Main 2021 (Online) 1st September Evening Shift
Statement : 1If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ are repres...
JEE Main 2021 (Online) 31st August Evening Shift
The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time take...
JEE Main 2021 (Online) 27th August Evening Shift
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 ...
JEE Main 2021 (Online) 26th August Morning Shift
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with ti...
JEE Main 2021 (Online) 27th July Evening Shift
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are ...
JEE Main 2021 (Online) 27th July Morning Shift
A force $$\overrightarrow F = (40\widehat i + 10\widehat j)N$$ acts on a body of mass 5 kg. If the body starts from res...
JEE Main 2021 (Online) 25th July Evening Shift
The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of t...
JEE Main 2021 (Online) 20th July Evening Shift
A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the bl...
JEE Main 2021 (Online) 20th July Morning Shift
The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30$$^\circ$$ banked road at maximum possib...
JEE Main 2021 (Online) 20th July Morning Shift
A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as show...
JEE Main 2021 (Online) 18th March Evening Shift
A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms-1 goes up an inclined plane which makes ...
JEE Main 2021 (Online) 17th March Evening Shift
A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. I...
JEE Main 2021 (Online) 17th March Morning Shift
Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh$$-$$1 and takes a sharp circular turn along ...
JEE Main 2021 (Online) 16th March Evening Shift
A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $$\theta$$ as shown in ...
JEE Main 2021 (Online) 16th March Morning Shift
Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in the f...
JEE Main 2021 (Online) 26th February Evening Shift
A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional t...
JEE Main 2021 (Online) 24th February Evening Slot
A particle moving in the xy plane experiences a velocity dependent force $$\overrightarrow F = k\left( {{v_y}\widehat i... JEE Main 2020 (Online) 6th September Evening Slot An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it i... JEE Main 2020 (Online) 6th September Morning Slot A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 wh... JEE Main 2020 (Online) 4th September Evening Slot Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its e... JEE Main 2020 (Online) 2nd September Morning Slot A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is ... JEE Main 2020 (Online) 8th January Evening Slot A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid poi... JEE Main 2020 (Online) 7th January Evening Slot A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30o ... JEE Main 2019 (Online) 12th April Evening Slot Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of fricti... JEE Main 2019 (Online) 10th April Evening Slot A bullet of mass 20 g has an initial speed of 1 ms–1 , just before it starts penetrating a mud wall of thickness 20 cm. ... JEE Main 2019 (Online) 10th April Evening Slot A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by th... JEE Main 2019 (Online) 8th April Morning Slot A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclin... JEE Main 2019 (Online) 12th January Evening Slot Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle$$\theta $$with each other. If the force Q is... JEE Main 2019 (Online) 10th January Evening Slot A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0... JEE Main 2019 (Online) 10th January Morning Slot A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some ... JEE Main 2019 (Online) 9th January Evening Slot A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m &lt; &lt; M). When the car... JEE Main 2019 (Online) 9th January Morning Slot A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. ... JEE Main 2019 (Online) 9th January Morning Slot A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of$$3.5$$revolutions per second. A co... JEE Main 2018 (Online) 15th April Evening Slot A body of mass 2 kg slides down with an acceleration of 3 m/s2 on a rough inclined plane having a slope of$${30^o}$$. T... JEE Main 2018 (Online) 15th April Evening Slot A given object takes n times more time to slide down a$${45^ \circ }$$rough inclined plane as it takes to slide down a... JEE Main 2018 (Online) 15th April Morning Slot Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown... JEE Main 2018 (Offline) A conical pendulum of length 1 m makes an angle$$\theta $$= 45o w.r.t. Z-axis and moves in a circle in the XY plane. T... JEE Main 2017 (Online) 9th April Morning Slot A particle of mass m is acted upon by a force F given by the empirical law F =$${R \over {{t^2}}}\,v\left( t \right).$$... JEE Main 2016 (Online) 10th April Morning Slot A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an... JEE Main 2016 (Online) 9th April Morning Slot Given in the figure are two blocks$$A$$and$$B$$of weight 20 N and 100 N, respectively. These are being pressed again... JEE Main 2015 (Offline) A block of mass$$m$$is placed on a surface with a vertical cross section given by$$y = {{{x^3}} \over 6}.$$If the co... JEE Main 2014 (Offline) Two fixed frictionless inclined planes making an angle$${30^ \circ }$$and$${60^ \circ }$$with the vertical are shown... AIEEE 2010 A block of mass$$m$$is connected to another block of$$massM$$by a spring (massless) of spring constant$$k.$$T... AIEEE 2007 A player caught a cricket ball of mass$$150g$$moving at a rate of$$20m/s.$$If the catching process is com... AIEEE 2006 A block is kept on a frictionless inclined surface with angle of inclination$$'\,\alpha \,'.$$The incline is given an ... AIEEE 2005 Consider a car moving on a straight road with a speed of$$100m/s$$. The distance at which car can be stopped is$$...
AIEEE 2005
A particle of mass 0.3 kg subjected to a force $$F=-kx$$ with $$k=15$$ $$N/m$$. What will be its initial acceleration if...
AIEEE 2005
A smooth block is released at rest on a $${45^ \circ }$$ incline and then slides a distance $$'d'$$. The time taken to s...
AIEEE 2005
A parachutist after bailing out falls $$50$$ $$m$$ without friction. When parachute opens, it decelerates at $$2\,\,m/{... AIEEE 2005 A block rests on a rough inclined plane `making an angle of$${30^ \circ }$$with the horizontal. The coefficient of sta... AIEEE 2004 Two masses$${m_1} = 5kg$$and$${m_2} = 4.8kg$$tied to a string are hanging over a light frictionless pulley. What is ... AIEEE 2004 A horizontal force of$$10N$$is necessary to just hold a block stationary against a wall. The coefficient of frict... AIEEE 2003 Three forces start acting simultaneously on a particle moving with velocity,$$\overrightarrow v \,\,.$$These forces ar... AIEEE 2003 A rocket with a lift-off mass$$3.5 \times {10^4}\,\,kg$$is blasted upwards with an initial acceleration of$$10m/{s^2}...
AIEEE 2003
A block of mass $$M$$ is pulled along a horizontal frictionless surface by a rope of mass $$m.$$ If a force $$P$$ is app...
AIEEE 2003
A marble block of mass $$2$$ $$kg$$ lying on ice when given a velocity of $$6$$ $$m/s$$ is stopped by friction in $$10$$...
AIEEE 2003
A light spring balance hangs from the hook of the other light spring balance and a block of mass $$M$$ $$kg$$ hangs from...
AIEEE 2003
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads $$49$$ $$N... AIEEE 2003 One end of a mass-less rope, which passes over a mass-less and friction-less pulley$$P$$is tied to a hook$$C$$while ... AIEEE 2002 The minimum velocity (in$$m{s^{ - 1}}$$) with which a car driver must traverse a flat curve of radius 150 m and coeffic... AIEEE 2002 Three identical blocks of masses$$m=2kg$$are drawn by a force$$F=10.2N$$with an acceleration of$$0.6...
AIEEE 2002
A light string passing over a smooth light pulley connects two blocks of masses $${m_1}$$ and $${m_2}$$ (vertically). If...
AIEEE 2002
Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpen...
AIEEE 2002
When forces $${F_1},\,\,{F_2},\,\,{F_3}$$ are acting on a particle of mass $$m$$ such that $${F_2}$$ and $${F_3}$$ are m...
AIEEE 2002
A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball inside the lift. The acceleration of the b...
AIEEE 2002

## Numerical

More
Four forces are acting at a point $$\mathrm{P}$$ in equilibrium as shown in figure. The ratio of force $$\mathrm{F}_{1}... JEE Main 2022 (Online) 25th July Morning Shift A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in... JEE Main 2022 (Online) 24th June Morning Shift A force on an object of mass 100 g is$$\left( {10\widehat i + 5\widehat j} \right)$$N. The position of that object at ... JEE Main 2022 (Online) 25th June Morning Shift A 0.5 kg block moving at a speed of 12 ms$$-$$1 compresses a spring through a distance 30 cm when its speed is halved. T... JEE Main 2022 (Online) 25th June Morning Shift A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F =$$\sqrt{x...
JEE Main 2022 (Online) 25th June Evening Shift
A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is allowed to sli...
JEE Main 2022 (Online) 26th June Evening Shift
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...
JEE Main 2022 (Online) 27th June Evening Shift
A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. ...
JEE Main 2022 (Online) 28th June Morning Shift
A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block...
JEE Main 2022 (Online) 28th June Evening Shift
When a body slides down from rest along a smooth inclined plane making an angle of 30$$^\circ$$ with the horizontal, it ...
JEE Main 2021 (Online) 1st September Evening Shift
A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an acceleration of 10 ms$$-$$2 parallel to th...
JEE Main 2021 (Online) 31st August Morning Shift
The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that ...
JEE Main 2021 (Online) 26th August Evening Shift
A body of mass 'm' is launched up on a rough inclined plane making an angle of 30$$^\circ$$ with the horizontal. The coe...
JEE Main 2021 (Online) 20th July Evening Shift
In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in its barrel (as shown in figure) ...
JEE Main 2021 (Online) 20th July Morning Shift
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 i...
JEE Main 2021 (Online) 18th March Morning Shift
A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction $${1 \over {\sqrt 3 }... JEE Main 2021 (Online) 17th March Evening Shift A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and ... JEE Main 2021 (Online) 17th March Evening Shift Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficie... JEE Main 2021 (Online) 17th March Morning Shift A body of mass 2 kg moves under a force of$$\left( {2\widehat i + 3\widehat j + 5\widehat k} \right)$$N. It starts from... JEE Main 2021 (Online) 16th March Evening Shift As shown in the figure, a block of mass$$\sqrt 3 $$kg is kept on a horizontal rough surface of coefficient of friction... JEE Main 2021 (Online) 26th February Morning Shift A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift des... JEE Main 2021 (Online) 26th February Morning Shift The coefficient of static friction between a wooden block of mass 0.5 kg and a vertical rough wall is 0.2. The magnitude... JEE Main 2021 (Online) 24th February Morning Slot An inclined plane is bent in such a way that the vertical cross-section is given by$$y = {{{x^2}} \over 4}$$where y is... JEE Main 2021 (Online) 24th February Morning Slot A ball with a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction of each ba... JEE Main 2021 (Online) 24th February Morning Slot A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m... JEE Main 2020 (Online) 3rd September Morning Slot A small block starts slipping down from a point B on an inclined plane AB, which is making an angle$$\theta  with th...
JEE Main 2020 (Online) 2nd September Morning Slot

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