JEE Main Physics — Mechanics previous year questions with solutions.
In the given figure, the block of mass $m$ is dropped from the point $'A'$. The expression for kinetic energy of block when it reaches point $'B'$ is 
A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of $10m$ in $ts$, the distance travelled by the toy in the next $ts$ will be:
A metre scale is balanced on a knife edge at its centre. When two coins, each of mass $10g$ are put one on the top of the other at the $10.0\mathrm{cm}$ mark the scale is found to be balanced at $40.0\mathrm{cm}$ mark. The mass of the metre scale is found to be $x\times {10}^{-2}\mathrm{kg}$. The value of $x$ is _____ .
Two projectile thrown at $30^{\circ}$ and $45^{\circ}$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is
A pendulum is suspended by a string of length $250\mathrm{cm}$. The mass of the bob of the pendulum is $200g$. The bob is pulled aside until the string is at $60^{\circ}$ with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be _____ $m{s}^{-1}$. (if $g=10m{s}^{-2}$) 
A girl standing on road holds her umbrella at $45^{\circ}$ with the vertical to keep the rain away. If she starts running without umbrella with a speed of $15\sqrt{2}\mathrm{km}{h}^{-1}$, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is
Match List I with List II. <table class="pyq-table"><tbody><tr><td></td><td>List I</td><td></td><td>List II</td></tr><tr><td>(A)</td><td>Torque</td><td>(I)</td><td>${\mathrm{Nms}}^{-1}$</td></tr><tr><td>(B)</td><td>Stress</td><td>(II)</td><td>${\mathrm{Jkg}}^{-1}$</td></tr><tr><td>(C)</td><td>Latent Heat</td><td>(III)</td><td>$\mathrm{Nm}$</td></tr><tr><td>(D)</td><td>Power</td><td>(IV)</td><td>${\mathrm{Nm}}^{-2}$</td></tr></tbody></table>Choose the correct answer from the options given below:
Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and their positions are represented by ${x}_{P}(t)=\alpha t+\beta {t}^{2}$ and ${x}_{Q}(t)=ft-{t}^{2}$. At what time, both the buses have same velocity ?
A ball is projected vertically upward with an initial velocity of $50{ms}^{-1}$ at $t=0s$. At $t=2s$, another ball is projected vertically upward with same velocity. At $t=$____$s$, second ball will meet the first ball $(g=10{ms}^{-2})$.
A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of $4m{s}^{-1}$, is _____$\mathrm{cm}$. (take $g=10m{s}^{-2}$) 
A string of area of cross-section $4{\mathrm{mm}}^{2}$ and length $0.5$ is connected with a rigid body of mass $2\mathrm{kg}$. The body is rotated in a vertical circular path of radius $0.5m$. The body acquires a speed of $5m{s}^{-1}$ at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is _____ $\times {10}^{-5}$. (Use Young's modulus ${10}^{11}N{m}^{-2}$ and $g=10m{s}^{-2}$)
An object is taken to a height above the surface of earth at a distance $\frac{5}{4}R$ from the centre of the earth. Where radius of earth, $R=6400\mathrm{km}$. The percentage decrease in the weight of the object will be
The ratio of escape velocity on Earth to the escape velocity on a planet whose radius and mean density are twice that of Earth is:
An object of mass $5\mathrm{kg}$ is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of $10N$ throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use $g=10{ms}^{-2}$].
The velocity of the bullet becomes one third after it penetrates $4\mathrm{cm}$ in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at $(4+x)\mathrm{cm}$ inside the block. The value of $x$ is
The time period of a satellite revolving around earth in a given orbit is $7$ hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be
A body of mass $0.5\mathrm{kg}$ travels on straight line path with velocity $v=(3{x}^{2}+4)m{s}^{-1}$. The net work done by the force during its displacement from $x=0$ to $x=2m$ is
A ball of mass $0.5\mathrm{kg}$ is dropped from the height of $10m$. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is _____ $m$. [Use $g=10m{s}^{-2}$ ]
A travelling microscope has $20$ divisions per $\mathrm{cm}$ on the main scale while its Vernier scale has total $50$ divisions and $25$ Vernier scale divisions are equal to $24$ main scale divisions, what is the least count of the travelling microscope ?
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 sufficient to carry it to the top Point $B$ at a height $10m$. After reaching the Point $B$ the block slides down on inclined plane $BC$. Time it takes to reach to the point $C$ from point $A$ is $t(\sqrt{2}+1)s$. The value of t is _____ (use $g=10m{s}^{-2}$) 
A particle is moving in a straight line such that its velocity is increasing at $5{ms}^{-1}$ per meter. The acceleration of the particle is _____ $m{s}^{-2}$ at a point where its velocity is $20{ms}^{-1}$.
A car covers $AB$ distance with first one-third at velocity ${v}_{1}{ms}^{-1}$, second one-third at ${v}_{2}{ms}^{-1}$ and last one-third at ${v}_{3}{ms}^{-1}$. If ${v}_{3}=3{v}_{1},{v}_{2}=2{v}_{1}$ and ${v}_{1}=11{ms}^{-1}$, then the average velocity of the car is _____ ${ms}^{-1}$. 
A uniform disc with mass $M=4\mathrm{kg}$ and radius $R=10\mathrm{cm}$ is mounted on a fixed horizontal axle as shown in figure. A block with mass $m=2\mathrm{kg}$ hangs from a massless cord that is wrapped around the rim of the disc. During the fall of the block, the cord does not slip and there is no friction at the axle. The tension in the cord is _____ $N$. (Take $g=10{\mathrm{ms}}^{-2}$) 
A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be (Take radius of earth $=6400\mathrm{km}$ and $g=10{\mathrm{ms}}^{-2}$)