# Laws of Motion · Physics · JEE Main

Start Practice## MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Evening Shift

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 ...

JEE Main 2024 (Online) 9th April Morning Shift

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 $$\theta$$ wit...

JEE Main 2024 (Online) 9th April Morning Shift

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 i...

JEE Main 2024 (Online) 8th April Evening Shift

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 p...

JEE Main 2024 (Online) 8th April Morning Shift

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 ...

JEE Main 2024 (Online) 8th April Morning Shift

Three bodies A, B and C have equal kinetic energies and their masses are $$400 \mathrm{~g}, 1.2 \mathrm{~kg}$$ and $$1.6 \mathrm{~kg}$$ respectively. ...

JEE Main 2024 (Online) 6th April Evening Shift

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 forc...

JEE Main 2024 (Online) 6th April Morning Shift

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 th...

JEE Main 2024 (Online) 5th April Evening Shift

A particle moves in $$x$$-$$y$$ plane under the influence of a force $$\vec{F}$$ such that its linear momentum is $$\overrightarrow{\mathrm{p}}(\mathr...

JEE Main 2024 (Online) 5th April Evening Shift

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 ...

JEE Main 2024 (Online) 5th April Morning Shift

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 ...

JEE Main 2024 (Online) 4th April Evening Shift

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-effi...

JEE Main 2024 (Online) 4th April Morning Shift

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 desc...

JEE Main 2024 (Online) 1st February Evening Shift

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...

JEE Main 2024 (Online) 1st February Evening Shift

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....

JEE Main 2024 (Online) 1st February Morning Shift

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 accel...

JEE Main 2024 (Online) 31st January Evening Shift

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...

JEE Main 2024 (Online) 31st January Evening Shift

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 / ...

JEE Main 2024 (Online) 31st January Morning Shift

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 passin...

JEE Main 2024 (Online) 30th January Evening Shift

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...

JEE Main 2024 (Online) 30th January Evening Shift

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$$_1$$ ...

JEE Main 2024 (Online) 30th January Morning Shift

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 \mathr...

JEE Main 2024 (Online) 27th January Evening Shift

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

JEE Main 2023 (Online) 15th April Morning Shift

The position vector of a particle related to time $t$ is given by
$\vec{r}=\left(10 t \hat{i}+15 t^{2} \hat{j}+7 \hat{k}\right) m$
The direction of ...

JEE Main 2023 (Online) 12th April Morning Shift

Three forces $$F_{1}=10 \mathrm{~N}, F_{2}=8 \mathrm{~N}, \mathrm{~F}_{3}=6 \mathrm{~N}$$ are acting on a particle of mass $$5 \mathrm{~kg}$$. The for...

JEE Main 2023 (Online) 11th April Evening Shift

A body of mass $$500 \mathrm{~g}$$ moves along $$\mathrm{x}$$-axis such that it's velocity varies with displacement $$\mathrm{x}$$ according to the re...

JEE Main 2023 (Online) 8th April Morning Shift

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 a...

JEE Main 2023 (Online) 1st February Evening Shift

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 $$30^\circ$$, with horizontal. Fo...

JEE Main 2023 (Online) 1st February Evening Shift

Figures (a), (b), (c) and (d) show variation of force with time.
The impulse is highest in figure....

JEE Main 2023 (Online) 1st February Morning Shift

A block of mass $$5 \mathrm{~kg}$$ is placed at rest on a table of rough surface. Now, if a force of $$30 \mathrm{~N}$$ is applied in the direction pa...

JEE Main 2023 (Online) 31st January Evening Shift

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 frictio...

JEE Main 2023 (Online) 31st January Morning Shift

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 horiz...

JEE Main 2023 (Online) 30th January Evening Shift

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 t...

JEE Main 2023 (Online) 29th January Evening Shift

A 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 val...

JEE Main 2023 (Online) 29th January Evening Shift

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$$^\circ$$ incli...

JEE Main 2023 (Online) 29th January Morning Shift

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 f...

JEE Main 2023 (Online) 25th January Evening Shift

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

JEE Main 2023 (Online) 24th January Morning Shift

As per given figure, a weightless pulley P is attached on a double inclined frictionless surfaces. The tension in the string (massless) will be (if g ...

JEE Main 2023 (Online) 24th January Morning Shift

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 ca...

JEE Main 2022 (Online) 29th July Evening Shift

Two bodies of masses $$m_{1}=5 \mathrm{~kg}$$ and $$m_{2}=3 \mathrm{~kg}$$ are connected by a light string going over a smooth light pulley on a smoot...

JEE Main 2022 (Online) 28th July Evening Shift

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' ...

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 horizontal is $$\theta$$. The...

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 with uniform velocity 'v'. If t...

JEE Main 2022 (Online) 27th July Morning Shift

A bag is gently dropped on a conveyor belt moving at a speed of $$2 \mathrm{~m} / \mathrm{s}$$. The coefficient of friction between the conveyor belt ...

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 frictionless pulley. When the m...

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 in a system as shown in figur...

JEE Main 2022 (Online) 26th July Morning Shift

A monkey of mass $$50 \mathrm{~kg}$$ climbs on a rope which can withstand the tension (T) of $$350 \mathrm{~N}$$. If monkey initially climbs down with...

JEE Main 2022 (Online) 25th July Evening Shift

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 w...

JEE Main 2022 (Online) 30th June Morning Shift

A 2 kg block is pushed against a vertical wall by applying a horizontal force of 50 N. The coefficient of static friction between the block and the wa...

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 passing over frictionless pulley...

JEE Main 2022 (Online) 29th 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-fourth of its weight on the flo...

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 m to x = 1.5 m. The retarding...

JEE Main 2022 (Online) 27th 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 of static friction between two ...

JEE Main 2022 (Online) 26th June Morning Shift

A person is standing in an elevator. In which situation, he experiences weight loss?

JEE Main 2022 (Online) 24th June Evening Shift

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the mot...

JEE Main 2022 (Online) 24th 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 between the surface and block ...

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 of the block with respect to t...

JEE Main 2021 (Online) 1st September Evening Shift

An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following s...

JEE Main 2021 (Online) 31st August Evening Shift

Statement : 1If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ are represented by three sides of a tria...

JEE Main 2021 (Online) 27th 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 taken by box of mass 8 kg to strik...

JEE Main 2021 (Online) 26th August Morning 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 acceleration of 20 ms-2. The g...

JEE Main 2021 (Online) 27th July Evening Shift

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $...

JEE Main 2021 (Online) 25th July Evening 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 rest, its position vector $$\over...

JEE Main 2021 (Online) 20th July Morning 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 block and cylinders go down with...

JEE Main 2021 (Online) 16th March Morning 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 figure. The coefficient of kin...

JEE Main 2021 (Online) 26th February Evening 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 figure. If the mass A starts mo...

JEE Main 2021 (Online) 24th February Evening Shift

A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional to the square of the distance f...

JEE Main 2020 (Online) 6th September Evening Slot

A particle moving in the xy plane experiences a velocity dependent force
$$\overrightarrow F = k\left( {{v_y}\widehat i + {v_x}\widehat j} \right)$$
...

JEE Main 2020 (Online) 6th September Morning 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 is at height h from the bottom....

JEE Main 2020 (Online) 5th September Evening Slot

A spaceship in space sweeps stationary
interplanetary dust. As a result, its mass
increases at a rate $${{dM\left( t \right)} \over {dt}}$$ = bv2(t), ...

JEE Main 2020 (Online) 4th September Evening Slot

A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a
resistive force mkv2
where v is its speed. The maximu...

JEE Main 2020 (Online) 7th 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 point of the rope such that the t...

JEE Main 2019 (Online) 12th April 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 with the horizontal, as shown ...

JEE Main 2019 (Online) 12th April Evening Slot

A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched
lengths l1 and l2 where, l1 = nl2 and ...

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. If the wall offers a mean resi...

JEE Main 2019 (Online) 10th 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 friction between A and B is 0.2 and ...

JEE Main 2019 (Online) 10th April Morning Slot

A ball is thrown upward with an initial velocity
V0 from the surface of the earth. The motion
of the ball is affected by a drag force equal to
m$$\gam...

JEE Main 2019 (Online) 12th January Evening 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 inclined plane. The maximum external...

JEE Main 2019 (Online) 10th 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 doubled, then their resultant...

JEE Main 2019 (Online) 9th January Evening 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 point. the rope deviated at an...

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. The coefficient of static fric...

JEE Main 2018 (Offline)

Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible
string over a frictionless pulley, are moving as shown in the figure. The
coefficien...

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 $${30^o}$$. The external force required to ...

JEE Main 2018 (Online) 15th April Morning 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 perfectly smooth $${45^ \circ...

JEE Main 2016 (Online) 10th April Morning Slot

A particle of mass m is acted upon by a force F given by the empirical law
F =$${R \over {{t^2}}}\,v\left( t \right).$$ If this law is to be tested ...

JEE Main 2016 (Online) 9th April Morning Slot

A rocket is fired vertically from the earth with an acceleration of 2g, where g is the
gravitational acceleration. On an inclined plane inside the roc...

JEE Main 2015 (Offline)

Given in the figure are two blocks $$A$$ and $$B$$ of weight 20 N and 100 N, respectively. These are being pressed against a wall by a force $$F$$ as ...

JEE Main 2014 (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 coefficient of friction is $$0.5...

AIEEE 2012

A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subjected to a force $$F\left( t \right) = {F_0}{e^{ - bt}}$$ in the $$x$$ di...

AIEEE 2010

Two fixed frictionless inclined planes making an angle $${30^ \circ }$$ and $${60^ \circ }$$ with the vertical are shown in the figure. Two blocks $$A...

AIEEE 2007

A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ The block are kept on a smooth ...

AIEEE 2005

A smooth block is released at rest on a $${45^ \circ }$$ incline and then slides a distance $$'d'$$. The time taken to slide is $$'n'$$ times as much ...

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 it is released from a point 2...

AIEEE 2005

Consider a car moving on a straight road with a speed of $$100$$ $$m/s$$. The distance at which car can be stopped is $$\left[ {{\mu _k} = 0.5} \right...

AIEEE 2005

A block is kept on a frictionless inclined surface with angle of inclination $$'\,\alpha \,'.$$ The incline is given an acceleration $$a$$ to keep the...

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 the acceleration of the masses...

AIEEE 2004

A block rests on a rough inclined plane `making an angle of $${30^ \circ }$$ with the horizontal. The coefficient of static friction between the block...

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 $$49$$ $$N,$$ when the lift is stationar...

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 the former one. Then the true...

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 $$10$$ $$s.$$ Then the coefficient o...

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 applied at the free end of the ro...

AIEEE 2003

A rocket with a lift-off mass $$3.5 \times {10^4}\,\,kg$$ is blasted upwards with an initial acceleration of $$10m/{s^2}.$$ Then the initial thrust of...

AIEEE 2003

Three forces start acting simultaneously on a particle moving with velocity, $$\overrightarrow v \,\,.$$ These forces are represented in magnitude and...

AIEEE 2003

A horizontal force of $$10$$ $$N$$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the ...

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 ball as observed by the man in ...

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 mutually perpendicular, then th...

AIEEE 2002

Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpendicular to the smaller force. ...

AIEEE 2002

A light string passing over a smooth light pulley connects two blocks of masses $${m_1}$$ and $${m_2}$$ (vertically). If the acceleration of the syste...

AIEEE 2002

Three identical blocks of masses $$m=2$$ $$kg$$ are drawn by a force $$F=10.2$$ $$N$$ with an acceleration of $$0.6$$ $$m{s^{ - 2}}$$ on a frictionles...

AIEEE 2002

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 the other end is free. Maximum...

## Numerical

JEE Main 2024 (Online) 5th April Morning Shift

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 smoot...

JEE Main 2024 (Online) 4th April Morning Shift

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 an...

JEE Main 2022 (Online) 27th July Evening Shift

Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just s...

JEE Main 2022 (Online) 25th July Morning Shift

Four forces are acting at a point $$\mathrm{P}$$ in equilibrium as shown in figure. The ratio of force $$\mathrm{F}_{1}$$ to $$\mathrm{F}_{2}$$ is $$1...

JEE Main 2022 (Online) 28th June Morning Shift

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...

JEE Main 2022 (Online) 27th 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 point of rope in horizontal d...

JEE Main 2022 (Online) 26th 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 slip over the edge of a smooth ta...

JEE Main 2022 (Online) 25th June Evening Shift

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

JEE Main 2022 (Online) 25th 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 t = 2 s is $$\left( {a\widehat...

JEE Main 2021 (Online) 1st September Evening Shift

When a body slides down from rest along a smooth inclined plane making an angle of 30$$^\circ$$ with the horizontal, it takes time T. When the same bo...

JEE Main 2021 (Online) 31st August Morning Shift

A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an acceleration of 10 ms$$-$$2 parallel to the plane upward. A bob is suspe...

JEE Main 2021 (Online) 26th August Evening Shift

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 blo...

JEE Main 2021 (Online) 20th July 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 coefficient of friction between t...

JEE Main 2021 (Online) 18th March 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 into it. If the velocity of bul...

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 the floor is 0.5, the maximum ...

JEE Main 2021 (Online) 17th March Evening Shift

A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction $${1 \over {\sqrt 3 }}$$. It is desired to make the...

JEE Main 2021 (Online) 17th March Morning Shift

Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between ...

JEE Main 2021 (Online) 16th March Evening 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 rest and was at the origin in...

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 descends with uniform downward ac...

JEE Main 2021 (Online) 26th February Morning Shift

A boy pushes a box of mass 2 kg with a force $$\overrightarrow F = \left( {20\widehat i + 10\widehat j} \right)N$$ on a frictionless surface. If the ...

JEE Main 2021 (Online) 26th February Morning Shift

As shown in the figure, a block of mass $$\sqrt 3 $$ kg is kept on a horizontal rough surface of coefficient of friction $${1 \over {3\sqrt 3 }}$$. Th...

JEE Main 2021 (Online) 24th February Morning Shift

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 in vertical and x in horizont...

JEE Main 2021 (Online) 24th 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 of horizontal force that shou...