iCON Education - Laws of Motion AP-EAPCET Test

If the breaking strength of a rope is $\frac{4}{3}$ times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is ( $\mathrm{g}=$ acceleration due to gravity)

A block of mass 2 kg is placed on a rough horizontal surface. If a horizontal force of 20 N acting on the block produces an acceleration of $7 \mathrm{~ms}^{-2}$ in it, then the coefficient of kinetic friction between the block and the surface is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

The apparent weight of a girl of mass 30 kg when she is in a lift moving vertically upwards with an acceleration of $2 \mathrm{~ms}^{-2}$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

Two bodies $A$ and $B$ of masses 1.5 kg and 3 kg are moving with velocities $20 \mathrm{~ms}^{-1}$ and $15 \mathrm{~ms}^{-1}$ respectively. If the same retarding force is applied on the two bodies, then the ratio of the distances travelled by the bodies $A$ and $B$ before they come to rest is

Two blocks $A$ and $B$ of masses 2 kg and 4 kg respectively are kept on a rough horizontal surface. If same force of 20 N is applied on each block, then the ratio of the accelerations of the blocks $A$ and $B$ is (Coefficient of kinetic friction between the surface and the blocks is 0.3 and acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

If the tension in the horizontal wire shown in the figure is 30 N , then the weight $W$ and tension in the wire $O A$ are respectively

AP EAPCET 2025 - 23rd May Morning Shift Physics - Laws of Motion Question 3 English

$30 \sqrt{3} \mathrm{~N}, 30 \mathrm{~N}$

$30 \sqrt{3} \mathrm{~N}, 60 \mathrm{~N}$

$60 \sqrt{3} \mathrm{~N}, 30 \mathrm{~N}$

$60 \sqrt{3} \mathrm{~N}, 60 \mathrm{~N}$

A balloon with mass ' $m$ ' is descending vertically with an acceleration ' $a$ ' (where $a

A conveyor belt is moving horizontally with a velocity of $2 \mathrm{~ms}^{-1}$. If a body of mass 10 kg is kept on it, then the distance travelled by the body before coming to rest is

(The coefficient of kinetic friction between the belt and the body is 0.2 and acceleration due to gravity is $10 \mathrm{~ms}^{-2}$ )

As shown in the figure, a force $F$ is applied on a block of mass $\sqrt{3} \mathrm{~kg}$ placed on a rough horizontal surface. The maximum value of $F$ for the block not to move is (Coefficient of static friction between the block and the

surface is $\frac{1}{2 \sqrt{3}}$ and acceleration due to gravity $\left.=10 \mathrm{~ms}^{-2}\right)$

AP EAPCET 2025 - 21st May Morning Shift Physics - Laws of Motion Question 9 English

A balloon carrying some sand of mass $M$ is moving down with a constant acceleration $a_0$. The mass $m$ of sand to be removed, so that the balloon moves up with double the acceleration $a_0$ is

$m=\frac{2 M a_0}{a_0+g}$

$m=\frac{2 M a_0}{a_0-g}$

$m=\frac{3 M a_0}{g+2 a_0}$

$m=\frac{3 M a_0}{g-2 a_0}$

The acceleration of a body sliding down the inclined plane, having coefficient of friction $\mu$ is

$a=g(\sin \theta+\mu \cos \theta)$

$a=g(\cos \theta-\mu \sin \theta)$

$a=g(\sin \theta-\mu \cos \theta)$

$a=g(\cos \theta+\mu \sin \theta)$

A body of 2 kg mass slides down with an acceleration of $4 \mathrm{~ms}^{-2}$ on an inclined plane having slope of $30^{\circ}$. The external force required to take the same body up the plane with same acceleration will be (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

A 100 kg cannon fires a ball of 1 kg horizontally from a cliff of height 500 m . It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

$0.6 \mathrm{~ms}^{-1}$

$0.8 \mathrm{~ms}^{-1}$

$0.2 \mathrm{~ms}^{-1}$

$0.4 \mathrm{~ms}^{-1}$

A block of mass 5 kg is placed on a rough horizontal surface having coefficient of friction 0.5 . If a horizontal force of 60 N is acting on it, then the acceleration of the block is (Acceleration due ot gravity, $g=10 \mathrm{~ms}^{-2}$ )

$7 \mathrm{~ms}^{-2}$

$5 \mathrm{~ms}^{-2}$

$10 \mathrm{~ms}^{-2}$

$15 \mathrm{~ms}^{-2}$

A block of metal 4 kg is in rest on a frictionless surface. It was targeted by a jet releasing water of $2 \mathrm{~kg} \mathrm{~s}^{-1}$ at a speed of $10 \mathrm{~ms}^{-1}$. The acceleration of the block is

$10 \mathrm{~ms}^{-2}$

$15 \mathrm{~ms}^{-2}$

$20 \mathrm{~ms}^{-2}$

$5 \mathrm{~ms}^{-2}$

A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is $\sqrt{\frac{g h}{6}}$ and coefficient of friction is $\frac{5}{3 \sqrt{3}}$. The time taken by the person to reach from $A$ to $B$ with maximum possible acceleration is

AP EAPCET 2024 - 21th May Evening Shift Physics - Laws of Motion Question 15 English

$\sqrt{\frac{h g}{6}}$

$\sqrt{\frac{2 h}{g}}$

$\sqrt{\frac{6 h}{g}}$

A block of metal 2 kg is in rest on a smooth plane. It is striked by a jet releasing water of $1 \mathrm{~kg} \mathrm{~s}^{-1}$ at a speed of $5 \mathrm{~m} / \mathrm{s}$, then the acceteration of the block is

$2 \mathrm{~ms}^{-2}$

$2.5 \mathrm{~ms}^{-2}$

$025 \mathrm{~ms}^{-2}$

$50 \mathrm{~ms}^{-2}$

An insect is crawling in a hemi-spherical bowl of radius $R$. If the coefficient of friction between the insect and bowl is $\mu$, then the maximum height to which the insect can crawl the bowl is

$R\left[1-\frac{1}{\sqrt{1+\mu^2}}\right]$

$R\left[1+\frac{1}{\sqrt{1+\mu^2}}\right]$

$R\left[\frac{1}{\sqrt{1+\mu^2}}\right]$

$R\left[\frac{1}{\sqrt{1-\mu^2}}\right]$

Two objects having masses $1: 4$ ratio are at rest. When both of them are subjected to same force separately, they achieved same kinetic energy during times $t_1$ and $t_2$ respectively. Then, ratio of $\frac{t_2}{t_1}$ is

A block of mass 18.5 kg kept on a smooth horizontal surface is pulled by a rope of 3 m length by a horizontal force of 40 N applied to the other end of the rope. If the linear density of the rope is $0.5 \mathrm{kgm}^{-1}$ and initially the block is at rest, the time in which the block moves a distance of 9 m is

A block of mass 1.5 kg kept on a rough horizontal surface is given a horizontal velocity of $10 \mathrm{~ms}^{-1}$. If the block comes to rest after travelling a distance of 12.5 m , the coefficient of kinetic friction between the surface and the block is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

Three blocks of masses $2 \mathrm{~m}, 4 \mathrm{~m}$ and 6 m are placed as shown in figure. If $\sin 37^{\circ}=\frac{3}{5}, \sin 53^{\circ}=\frac{4}{5}$, the acceleration of the system is

AP EAPCET 2024 - 18th May Morning Shift Physics - Laws of Motion Question 20 English

Two masses $m_1$ and $m_2$ are connected by a light string passing over smooth pulley. When set free $m_1$ moves downwards by 3 m in 3 s . The ratio of $\frac{m_l}{m_2}$ is $\left(g=10 \mathrm{~ms}^{-2}\right)$

A body is travelling with $10 \mathrm{~ms}^{-1}$ on a rough horizontal surface. It's velocity after 2 s is $4 \mathrm{~ms}^{-1}$. The coefficient of kinetic friction between the block and the plane is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

A cricket ball of mass 50 g having velocity $50 \mathrm{~cm} \mathrm{~s}^{-1}$ to stopped in 0.5 s. The force applied to stop the ball is

Two masses $M_1$ and $M_2$ are arranged as shown in the figure. Let $a$ be the magnitude of the acceleration of the mass $M_1$. If the mass of $M_1$ is doubled and that of $M_2$ is halved, then the acceleration of the system is (Treat all surfaces as smooth; masses of pulley and rope are negligible)

AP EAPCET 2022 - 4th July Evening Shift Physics - Laws of Motion Question 25 English

$\left(\frac{M_1+M_2}{4 M_1+M_2}\right) a$

$\left(\frac{2 M_1+M_2}{4 M_1+M_2}\right) a$

$\left(\frac{M_1+2 M_2}{4 M_1+2 M_2}\right) a$

$\left(\frac{M_1+2 M_2}{M_1+M_2}\right) a$

Two rectangular blocks of masses 40 kg and 60 kg are connected by a string and kept on a frictionless horizontal table. If a force of 1000 N is applied on 60 kg block away from 40 kg block, then the tension in string is

A 30 kg slab B rests on a frictionless floor as shown in the figure. A 10 kg block A rests on top of the slab B. The coefficients of static and kinetic friction between the block A and the slab B are 0.60 and 0.40, respectively. When block A is acted upon by a horizontal force of 100 N, as shown, find the resulting acceleration of the slab B. (g = 9.8 ms$^2$ )

Image

A book is lying on a table. What is the angle between the normal reaction acting on the book on the table and the weight of the book?

Two blocks $A$ and $B$ of masses $4 \mathrm{~kg}$ and $6 \mathrm{~kg}$ are as shown in the figure. A horizontal force of $12 \mathrm{~N}$ is required to make $A$ slip over $B$. Find the maximum horizontal force $F_B$ that can be applied on $B$, so that both $A$ and $B$ move together (take, $g=10 \mathrm{~ms}^{-2}$ )

AP EAPCET 2021 - 19th August Evening Shift Physics - Laws of Motion Question 30 English

An object dropped in a stationary lift takes time $t_1$ to reach the floor. It takes time $t_2$ when lift is moving up with constant acceleration. Then,

When a body is placed on a rough plane (coefficient of friction $=~\propto$ ) inclined at an angle $\theta$ to the horizontal, its acceleration is (acceleration due to gragvity $=g$ )

$g(\sin \theta-\propto \cos \theta)$

$g(\sin \theta-\cos \theta)$

$g \propto(\sin \theta-\cos \theta)$

$g(\propto \sin \theta-\cos \theta)$