Laws of Motion

140 questions · Physics · JEE Main

Laws of Motion

140 questions · Physics · JEE Main

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $T_{1}$ and $T_{2}$ , respectively, are (in N ) : (Take acceleration due to gravity $10 m / s^{2}$ … Includes diagram2025 · 2 Apr · Shift 2 · Q67 · MCQ
A block of mass 1 kg , moving along $x$ with speed $v_{i} = 10 m / s$ enters a rough region ranging from $x = 0.1 m$ to $x = 1.9 m$ . The retarding force acting on the block in this range is $F_{r} = - kr N$ …2025 · 3 Apr · Shift 2 · Q61 · MCQ
A body of mass $m$ is suspended by two strings making angles $θ_{1}$ and $θ_{2}$ with the horizontal ceiling with tensions $T_{1}$ and $T_{2}$ simultaneously. $T_{1}$ and $T_{2}$ are related by $T_{1} = 3 T_{2}$ , the angles $θ_{1}$ and $θ_{2}$ …2025 · 4 Apr · Shift 1 · Q63 · MCQ
A cubic block of mass $m$ is sliding down on an inclined plane at $6 0^{\circ}$ with an acceleration of $\frac{g}{2}$ , the value of coefficient of kinetic friction is2025 · 7 Apr · Shift 1 · Q69 · MCQ
An object with mass 500 g moves along x-axis with speed $v = 4 x$ m/s. The force acting on the object is :2025 · 7 Apr · Shift 2 · Q75 · MCQ
A body of mass 2 kg moving with velocity of $v_{in} = 3 \hat{i} + 4 \hat{j} ms^{- 1}$ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $\frac{5}{3}$ …2025 · 8 Apr · Shift 2 · Q68 · MCQ
A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass that must be released from the content so that the balloon starts moving up with an acceleration ‘3a’ will be (Take ‘g’ as acceleration due to gravity)2025 · 28 Jan · Shift 2 · Q57 · MCQ
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 $ms^{- 2}$ is : (Consider that the string is massless… Includes diagram2024 · 1 Feb · Shift 1 · Q61 · MCQ
A body of mass $4 kg$ experiences two forces $F_{1} = 5 \hat{i} + 8 \hat{j} + 7 \hat{k}$ and $F_{2} = 3 \hat{i} - 4 \hat{j} - 3 \hat{k}$ . The acceleration acting on the body is :2024 · 1 Feb · Shift 2 · Q62 · MCQ
A cricket player catches a ball of mass $120 g$ moving with $25 m / s$ speed. If the catching process is completed in $0.1 s$ then the magnitude of force exerted by the ball on the hand of player will…2024 · 1 Feb · Shift 2 · Q68 · MCQ
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 with time :2024 · 4 Apr · Shift 1 · Q78 · MCQ
Two forces $\overline{F}_{1}$ and $\overline{F}_{2}$ are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle…2024 · 4 Apr · Shift 1 · Q87 · Numerical
A $2 kg$ brick begins to slide over a surface which is inclined at an angle of $4 5^{\circ}$ with respect to horizontal axis. The co-efficient of static friction between their surfaces is:2024 · 4 Apr · Shift 2 · Q62 · MCQ
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 cylinder together go down with an…2024 · 5 Apr · Shift 1 · Q80 · MCQ
Three blocks $M_{1}, M_{2}, M_{3}$ 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 $1, T_{1}$ … Includes diagram2024 · 5 Apr · Shift 1 · Q83 · Numerical
A particle moves in $x$ - $y$ plane under the influence of a force $F$ such that its linear momentum is $p (t) = \hat{i} cos (kt) - \hat{j} sin (kt)$ . If $k$ is constant, the…2024 · 5 Apr · Shift 2 · Q63 · MCQ
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 :2024 · 5 Apr · Shift 2 · Q66 · MCQ
A light string passing over a smooth light pulley connects two blocks of masses $m_{1}$ and $m_{2} ($ where $m_{2} > m_{1})$ . If the acceleration of the system is $\frac{g}{2}$ , then the ratio of the masses $\frac{m _{1}}{m _{2}}$ …2024 · 6 Apr · Shift 1 · Q67 · MCQ
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 $g = 10 m / s^{2}$ ) :2024 · 6 Apr · Shift 2 · Q63 · MCQ
A player caught a cricket ball of mass $150 g$ moving at a speed of $20 m / s$ . If the catching process is completed in $0.1 s$ , the magnitude of force exerted by the ball on the hand of the player is:2024 · 8 Apr · Shift 1 · Q68 · MCQ
A given object takes $n$ times the time to slide down $4 5^{\circ}$ rough inclined plane as it takes the time to slide down an identical perfectly smooth $4 5^{\circ}$ inclined plane. The coefficient of kinetic friction between the…2024 · 8 Apr · Shift 2 · Q69 · MCQ
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 $θ$ with the horizontal. The weight experienced by the person is :2024 · 9 Apr · Shift 1 · Q74 · MCQ
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 is $\frac{g}{8}$ , then the ratio of the masses $\frac{m _{2}}{m _{1}}$ is :2024 · 9 Apr · Shift 1 · Q75 · MCQ
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 $4 5^{\circ}$ with respect to the vertical axis… Includes diagram2024 · 9 Apr · Shift 2 · Q79 · MCQ
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 force of kinetic friction is independent of the area of…2024 · 27 Jan · Shift 2 · Q63 · MCQ
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 : Includes diagram2024 · 30 Jan · Shift 1 · Q76 · MCQ
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 above the ground at which block can be placed without slipping is:2024 · 30 Jan · Shift 2 · Q66 · MCQ
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 : Includes diagram2024 · 30 Jan · Shift 2 · Q74 · MCQ
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 coefficient of friction between the surface of the plane… Includes diagram2024 · 31 Jan · Shift 1 · Q64 · MCQ
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 force required to… Includes diagram2024 · 31 Jan · Shift 2 · Q66 · MCQ
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: Includes diagram2024 · 31 Jan · Shift 2 · Q70 · MCQ
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 distance of $50 m$ in an…2023 · 1 Feb · Shift 1 · Q57 · MCQ
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 $3 0^{\circ}$ , with horizontal. For $μ_{s} = 0.25$ , the block will just start to move for the value of F : [Given $g = 10 ms^{- 2}$ … Includes diagram2023 · 1 Feb · Shift 2 · Q57 · MCQ
Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest in figure. Includes diagram2023 · 1 Feb · Shift 2 · Q63 · MCQ
At any instant the velocity of a particle of mass $500 g$ is $(2 t \hat{i} + 3 t^{2} \hat{j}) ms^{- 1}$ . If the force acting on the particle at $t = 1 s$ is $(\hat{i} + x \hat{j}) N$ . Then the…2023 · 8 Apr · Shift 1 · Q57 · MCQ
A body of mass $500 g$ moves along $x$ -axis such that it's velocity varies with displacement $x$ according to the relation $v = 10 x m / s$ the force acting on the body is:-2023 · 11 Apr · Shift 2 · Q55 · MCQ
Three forces $F_{1} = 10 N, F_{2} = 8 N, F_{3} = 6 N$ are acting on a particle of mass $5 kg$ . The forces $F_{2}$ and $F_{3}$ are applied perpendicularly so that particle…2023 · 12 Apr · Shift 1 · Q50 · MCQ
The position vector of a particle related to time $t$ is given by $r = (10 t \hat{i} + 15 t^{2} \hat{j} + 7 \hat{k}) m$ The direction of net force experienced by the particle is :2023 · 15 Apr · Shift 1 · Q53 · MCQ
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 = 10 m/s $^{2}$ ) Includes diagram2023 · 24 Jan · Shift 1 · Q46 · MCQ
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 by the floor of an elevator on the foot of a person…2023 · 24 Jan · Shift 1 · Q61 · MCQ
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 times the force required to just prevent it from sliding down, the coefficient of… Includes diagram2023 · 25 Jan · Shift 2 · Q52 · MCQ
A block of mass $m$ slides down the plane inclined at angle $3 0^{\circ}$ with an acceleration $\frac{g}{4}$ . The value of coefficient of kinetic friction will be:2023 · 29 Jan · Shift 1 · Q56 · MCQ
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 value of force will be:2023 · 29 Jan · Shift 2 · Q46 · MCQ
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 $^{\circ}$ incline plane. The coefficient of kinetic friction between the object and the incline plane is :2023 · 29 Jan · Shift 2 · Q53 · MCQ
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 $3 0^{\circ}$ with the wall. The tension $T$ is:… Includes diagram2023 · 30 Jan · Shift 2 · Q55 · MCQ
As shown in figure, a $70 kg$ garden roller is pushed with a force of $F = 200 N$ at an angle of $3 0^{\circ}$ with horizontal. The normal reaction on the roller is (Given $g = 10 m s^{- 2}$ ) Includes diagram2023 · 31 Jan · Shift 1 · Q61 · MCQ
A body of mass $10 kg$ is moving with an initial speed of $20 m / s$ . The body stops after $5 s$ due to friction between body and the floor. The value of the coefficient of friction is: (Take…2023 · 31 Jan · Shift 2 · Q54 · MCQ
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 covered by the block before coming to rest is : [use g = 9.8 ms $-$ …2022 · 24 Jun · Shift 1 · Q49 · MCQ
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 motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 ms…2022 · 24 Jun · Shift 2 · Q56 · MCQ
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 $x =$ . Includes diagram2022 · 25 Jul · Shift 1 · Q62 · Numerical
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 with positive x-axis so that the net acceleration of body is zero? Includes diagram2022 · 25 Jul · Shift 2 · Q49 · MCQ
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 $\frac{a}{b}$ will…2022 · 25 Jun · Shift 1 · Q70 · Numerical
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 = . Includes diagram2022 · 25 Jun · Shift 2 · Q66 · Numerical
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. The… Includes diagram2022 · 26 Jul · Shift 1 · Q46 · MCQ
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 acceleration…2022 · 26 Jul · Shift 1 · Q61 · MCQ
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 acceleration of the system is $a_{1}$ . When the… Includes diagram2022 · 26 Jul · Shift 2 · Q56 · MCQ
A person is standing in an elevator. In which situation, he experiences weight loss?2022 · 26 Jun · Shift 1 · Q43 · MCQ
In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Which of the following relation is true for this arrangement? Includes diagram2022 · 26 Jun · Shift 2 · Q48 · MCQ
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. Tension on the string between the 7th and 8th ball is … Includes diagram2022 · 26 Jun · Shift 2 · Q66 · Numerical
A bag is gently dropped on a conveyor belt moving at a speed of $2 m / s$ . The coefficient of friction between the conveyor belt and bag is $0.4$ . Initially, the bag slips on the belt before it stops due to friction. The…2022 · 27 Jul · Shift 1 · Q50 · MCQ
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 will be :2022 · 27 Jul · Shift 2 · Q43 · MCQ
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 the incline is changed to 45 $^{\circ}$ , the time taken by the block, to slide down the…2022 · 27 Jul · Shift 2 · Q44 · MCQ
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 10 m. After reaching the Point B the… Includes diagram2022 · 27 Jul · Shift 2 · Q65 · Numerical
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 horizontal force F that can be applied to the block of mass M… Includes diagram2022 · 27 Jun · Shift 1 · Q45 · MCQ
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 upper half of the rope with vertical is $θ$ = tan $-$ 1…2022 · 27 Jun · Shift 2 · Q63 · Numerical
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 its length ' $L - l$ ' is hanging on the other… Includes diagram2022 · 28 Jul · Shift 2 · Q43 · MCQ
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 pulled by 2 Mg force. In this situation, tension in the… Includes diagram2022 · 28 Jun · Shift 1 · Q66 · Numerical
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 force in this range of rough surface is related to distance by F = $-$ kx where k = 12…2022 · 28 Jun · Shift 2 · Q52 · MCQ
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 rest. The force exerted by the… Includes diagram2022 · 29 Jul · Shift 2 · Q56 · MCQ
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 coefficient of kinetic friction between the surface and block is… Includes diagram2022 · 29 Jun · Shift 2 · Q56 · MCQ
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 'a' will be2022 · 29 Jun · Shift 2 · Q58 · MCQ
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 wall is 0.5. A force F is also applied on the block vertically upward (as shown in figure).… Includes diagram2022 · 30 Jun · Shift 1 · Q47 · MCQ
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, M = 16 kg Assume all the surfaces shown in the figure to be… Includes diagram2021 · 1 Sep · Shift 2 · Q52 · MCQ
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 surface profile. The correct applied force vs distance graph will be : Includes diagram2021 · 1 Sep · Shift 2 · Q60 · MCQ
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 body slides down from the rest along a rough inclined plane making the same angle and…2021 · 1 Sep · Shift 2 · Q69 · Numerical
A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $θ$ as shown in figure. The coefficient of kinetic friction is $μ$ k. then, the block's acceleration 'a' is given by : (g is… Includes diagram2021 · 16 Mar · Shift 1 · Q46 · MCQ
A body of mass 2 kg moves under a force of $(2 i + 3 j + 5 k)$ N. It starts from rest and was at the origin initially. After 4s, its new coordinates are (8, b, 20). The value of b is …2021 · 16 Mar · Shift 2 · Q66 · Numerical
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 the two blocks is $\frac{3}{7}$ . Then the maximum horizontal force that can be applied on… Includes diagram2021 · 17 Mar · Shift 1 · Q69 · Numerical
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 exert on the rope so that the piece of wood does not move from its… Includes diagram2021 · 17 Mar · Shift 2 · Q67 · Numerical
A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction $\frac{1}{3}$ . It is desired to make the body move by applying the minimum possible force F N. The value of F will be …2021 · 17 Mar · Shift 2 · Q68 · Numerical
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 bullet before hitting the wood is 10 m/s and it slows down with uniform deceleration, then…2021 · 18 Mar · Shift 1 · Q70 · Numerical
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/s2. The normal reaction R' by the floor if mass of the iron… Includes diagram2021 · 20 Jul · Shift 1 · Q55 · MCQ
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 the body and plane is $\frac{x}{5}$ if the time of ascent is half of the time of…2021 · 20 Jul · Shift 2 · Q65 · Numerical
An inclined plane is bent in such a way that the vertical cross-section is given by $y = \frac{x ^{2}}{4}$ where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of…2021 · 24 Feb · Shift 1 · Q67 · Numerical
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 should be applied on the block to keep it adhere to the wall will be …2021 · 24 Feb · Shift 1 · Q69 · Numerical
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 from the origin i.e. ma = $- α$ x2. The distance at which the particle stops :2021 · 24 Feb · Shift 2 · Q46 · MCQ
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 :2021 · 25 Jul · Shift 2 · Q49 · MCQ
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 gases come out at a relative speed of 500 ms $-$ 1 with respect to the rocket : [Use g =…2021 · 26 Aug · Shift 1 · Q59 · MCQ
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. (take g = 10 ms-2) Includes diagram2021 · 26 Aug · Shift 2 · Q72 · Numerical
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 acceleration of 1.8 m/s2 will be N. [g = 10 m/s2]2021 · 26 Feb · Shift 1 · Q64 · Numerical
A boy pushes a box of mass 2 kg with a force $F = (20 i + 10 j) N$ on a frictionless surface. If the box was initially at rest, then m is displacement along the…2021 · 26 Feb · Shift 1 · Q69 · Numerical
As shown in the figure, a block of mass $3$ kg is kept on a horizontal rough surface of coefficient of friction $\frac{1}{3 3}$ . The critical force to be applied on the vertical surface as shown at an angle 60 $^{\circ}$ with… Includes diagram2021 · 26 Feb · Shift 1 · Q72 · Numerical
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 moving away from mass B with acceleration 'a', then the acceleration of mass B will be : Includes diagram2021 · 26 Feb · Shift 2 · Q62 · MCQ
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 strike the ground starting from rest. (use g = 10 m/s2) Includes diagram2021 · 27 Aug · Shift 2 · Q43 · MCQ
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 $F = F_{0} [1 - (\frac{t - T}{T})^{2}]$ Where F0 and T…2021 · 27 Jul · Shift 2 · Q61 · MCQ
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 suspended by a string from the roof of the car. The angle in degrees which the string makes…2021 · 31 Aug · Shift 1 · Q72 · Numerical
Statement : 1 If three forces $F_{1}, F_{2}$ and $F_{3}$ are represented by three sides of a triangle and $F_{1} + F_{2} = - F_{3}$ ,…2021 · 31 Aug · Shift 2 · Q52 · MCQ
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 maximum height attained by the ball is :2020 · 4 Sep · Shift 2 · Q58 · MCQ
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $\frac{d M ( t )}{d t}$ = bv2(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite…2020 · 5 Sep · Shift 2 · Q53 · MCQ
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. If the coefficient of friction between the ground and the insect is 0.75, then h is : (g…2020 · 6 Sep · Shift 1 · Q45 · MCQ
A particle moving in the xy plane experiences a velocity dependent force $F = k (v_{y} i + v_{x} j)$ , where vx and vy are the x and y components of its velocity $v$ . If $a$ …2020 · 6 Sep · Shift 2 · Q48 · MCQ
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 top half of the rope makes an angle of 45o with the vertical. Then F equal : (Take g = 10…2020 · 7 Jan · Shift 2 · Q49 · MCQ
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 friction between the plane and the block is 0.6. What should be the minimum value of force P,… Includes diagram2019 · 9 Jan · Shift 1 · Q69 · MCQ
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 angle of 45o at the roof point. If the suspended mass is at equilibrium, the magnitude…2019 · 9 Jan · Shift 2 · Q62 · MCQ
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 $γ$ u2 (where m is mass of the ball, u is its instantaneous velocity and $γ$ is a…2019 · 10 Apr · Shift 1 · Q59 · MCQ
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 between B and the surface of the table is also 0.2. The maximum force F that can be… Includes diagram2019 · 10 Apr · Shift 2 · Q48 · MCQ
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 resistance of 2.5 × 10–2 N, the speed of the bullet after emerging from the other side of the…2019 · 10 Apr · Shift 2 · Q63 · MCQ
Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle $θ$ with each other. If the force Q is doubled, then their resultant also gets doubled. Then, the angle $θ$ is -2019 · 10 Jan · Shift 2 · Q63 · MCQ
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 in the figures. The coefficient of friction between the block and floor is $μ$ = 0.2.… Includes diagram2019 · 12 Apr · Shift 2 · Q48 · MCQ
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 n is an integer. The ratio k1/k2 of the corresponding force constant, k1 and k2 will be :2019 · 12 Apr · Shift 2 · Q65 · MCQ
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 force up the inclined plane that does not move the block is 10 N. The coefficient of… Includes diagram2019 · 12 Jan · Shift 2 · Q61 · MCQ
A given object takes n times more time to slide down a $4 5^{\circ}$ rough inclined plane as it takes to slide down a perfectly smooth $4 5^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is :2018 · 15 Apr · Shift 1 · Q68 · MCQ
A body of mass 2 kg slides down with an acceleration of 3 m/s2 on a rough inclined plane having a slope of $3 0^{o}$ . The external force required to take the same body up the plane with the same acceleration will be : (g = 10 m/s2)2018 · 15 Apr · Shift 2 · Q67 · MCQ
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 coefficient of friction of horizontal surface is 0.15. The minimum weight m that should be put on… Includes diagram2018 · Shift 0 · Q65 · MCQ
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 rocket, making an angle $θ$ with the horizontal, a point object of mass m is kept. The…2016 · 9 Apr · Shift 1 · Q67 · MCQ
A particle of mass m is acted upon by a force F given by the empirical law F = $\frac{R}{t ^{2}} v (t) .$ If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :2016 · 10 Apr · Shift 1 · Q49 · MCQ
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 shown. If the coefficient of friction between the blocks is 0.1 and between block $B$ and the… Includes diagram2015 · Shift 0 · Q65 · MCQ
A block of mass $m$ is placed on a surface with a vertical cross section given by $y = \frac{x ^{3}}{6} .$ If the coefficient of friction is $0.5,$ the maximum height above the ground at which the block can be placed without slipping is:2014 · Shift 0 · Q72 · MCQ
A particle of mass $m$ is at rest at the origin at time $t = 0.$ It is subjected to a force $F (t) = F_{0} e^{- b t}$ in the $x$ direction. Its speed $v (t)$ is depicted by which of the following curves?2012 · Shift 0 · Q55 · MCQ
Two fixed frictionless inclined planes making an angle $3 0^{\circ}$ and $6 0^{\circ}$ with the vertical are shown in the figure. Two blocks $A$ and $B$ are placed on the two planes. What is the relative vertical acceleration of $A$ with… Includes diagram2010 · Shift 0 · Q72 · MCQ
A block of mass $m$ is connected to another block of $ma ss M$ by a spring (massless) of spring constant $k .$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant…2007 · Shift 0 · Q97 · MCQ
A block is kept on a frictionless inclined surface with angle of inclination $^{'} α^{'} .$ The incline is given an acceleration $a$ to keep the block stationary. Then $a$ is equal to Includes diagram2005 · Shift 0 · Q146 · MCQ
A smooth block is released at rest on a $4 5^{\circ}$ incline and then slides a distance $^{'} d^{'}$ . The time taken to slide is $^{'} n^{'}$ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is2005 · Shift 0 · Q174 · MCQ
A particle of mass 0.3 kg subjected to a force $F = - k x$ with $k = 15 N / m$ . What will be its initial acceleration if it is released from a point 20 cm away from the origin?2005 · Shift 0 · Q175 · MCQ
Consider a car moving on a straight road with a speed of $100 m / s$ . The distance at which car can be stopped is $[μ_{k} = 0.5]$ 2005 · Shift 0 · Q176 · MCQ
Two masses $m_{1} = 5 k g$ and $m_{2} = 4.8 k g$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move? $(g = 9.8 m / s^{2})$ Includes diagram2004 · Shift 0 · Q182 · MCQ
A block rests on a rough inclined plane `making an angle of $3 0^{\circ}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8.$ If the frictionless force on the block is $10 N,$ the mass of the…2004 · Shift 0 · Q190 · MCQ
Three forces start acting simultaneously on a particle moving with velocity, $v .$ These forces are represented in magnitude and direction by the three sides of a triangle $A B C$ . The particle will now move with velocity Includes diagram2003 · Shift 0 · Q152 · MCQ
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 wall is $0.2$ . The weight of the block is Includes diagram2003 · Shift 0 · Q153 · MCQ
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 stationary. If the lift moves downward with an acceleration of $5 m / s^{2}$ , the reading of the spring…2003 · Shift 0 · Q175 · MCQ
A marble block of mass $2 k g$ lying on ice when given a velocity of $6 m / s$ is stopped by friction in $10 s .$ Then the coefficient of friction is2003 · Shift 0 · Q176 · MCQ
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 rope, the force exerted by the rope on the block is2003 · Shift 0 · Q177 · MCQ
A light spring balance hangs from the hook of the other light spring balance and a block of mass $M k g$ hangs from the former one. Then the true statement about the scale reading is2003 · Shift 0 · Q178 · MCQ
A rocket with a lift-off mass $3.5 \times 1 0^{4} k g$ is blasted upwards with an initial acceleration of $10 m / s^{2} .$ Then the initial thrust of the blast is2003 · Shift 0 · Q179 · MCQ
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 tension that the rope can bear is $360 N .$ With what value of maximum safe acceleration (in $m s^{- 2}$ … Includes diagram2002 · Shift 0 · Q144 · MCQ
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 the lift and a man standing stationary on the ground are respectively2002 · Shift 0 · Q171 · MCQ
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 the particle remains stationary. If the force $F_{1}$ is now removed then the acceleration of the…2002 · Shift 0 · Q172 · MCQ
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. Then the magnitudes of the forces are2002 · Shift 0 · Q173 · MCQ
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 system is $g /8$ , then the ratio of the masses is2002 · Shift 0 · Q174 · MCQ
Three identical blocks of masses $m = 2 k g$ are drawn by a force $F = 10.2 N$ with an acceleration of $0.6 m s^{- 2}$ on a frictionless surface, then what is the tension (in $N$ ) in the string between the blocks $B$ and $C$ ? Includes diagram2002 · Shift 0 · Q175 · MCQ