Laws of Motion — practice questions
183 curated practice questions from Laws of Motion (Physics JEE Advanced, NTA Exams) — 161 hard, 22 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- A car of mass m is initially at rest on the boat of mass M tied to the wall of dock through a massless, inextensible…
- A bag P (mass M) hang by a long thread and a bullet (mass m) comes horizontally with velocity v and gets caught in the…
- Two bodies having masses m 1 and m 2 and velocity u _ 1 and u _ 2 collide and form a composite system. If m _ 1 u _ 1 +…
- When a bird of weight W sits on a stretched wire, the tension T in the wire is
- A ball strikes a horizontal floor at 45°.25% of its kinetic energy is lost in collision. Find the coefficient of…
- A circular plate of diameter d is kept in contact with a square plate of edge d as shown in figure. The density of the…
- A man has weight 80 N. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 5…
- A boy is standing at the centre of a boat, which is free to move on water. If the masses of the boy and the boat are m…
- Two bodies of massses m 1 and m 2 have equal momenta. If E 1 and E 2 be their respective K.E., the ratio E 1 : E 2 is…
- Two blocks of masses 5 kg and 3 kg are attached to the ends of a string passing over a smooth pulley fixed to the…
- A bullet of mass 0.01 kg and travelling at a speed of 500 m/s strikes a block of mass 2 kg, which is suspended by a…
- An automobile enters a turn whose radius is R. The road is banked at angle . friction is negligible between the wheels…
- Statement–1: If net force acting on a system is zero then centre of mass of the system always remains at rest…
- A circular plate of uniform thickness has a diameter of 28 cm. A circular portion of diameter 21 cm is removed from the…
- If is coefficient of friction between the tyres and road, then the minimum stopping distance for a car of mass m moving…
- Two masses m and M are attached with strings as shown. For the system to be in equilibrium we have:
- The entire mass of a system is assumed to be concentrated at a point, which we call the centre of mass. Such an…
- A projectile of mass 3 m explodes at highest point of its path. It breaks into three equal parts. One part retraces its…
- A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the…
- Assertion: Static frictional force is always greater than the kinetic frictional force. Reason: (Coefficient of static…
- In the figure, if F = 4N, m = 2kg, M = 4 kg then array l M =0 array
- In the figure, the blocks A, B and C of mass m each have acceleration a_ 1 , a_ 2 and a_ 3 respectively. F_ 1 , F_ 2…
- A 50 kg man is standing on a flat boat at rest in a river. He moves 5 m to north and halts. If the boat has a mass of…
- Assertion: The acceleration of a particle as seen from an inertial frame is zero if no external force acts on it…
- Ball A strikes with velocity u elastically with identical ball B at rest, inclined at an angle of 60° with line joining…
- An object comprises of a uniform ring of radius R and its uniform chord AB (not necessarily made of the same material)…
- A student performs two experiments to determine the coefficient of static and kinetic friction between a block of mass…
- A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k . The blocks are…
- A pendulum consists of a wooden bob of mass m and of lenght l . A bullet of mass m 1 is fired towards the pendulum with…
- A trolley car slides down a smooth inclined plane of angle of inclination . If a body is suspended from the roof of the…
- A motor cycle and a car are moving on a horizontal road with the same velocity. If they are brought to rest by the…
- Two blocks m 1 and m 2 are pulled on a smooth horizontal surface, and are joined together with a spring of stiffness k…
- Statement–1: A particle strikes head–on with another stationary particle such that first particle comes to rest after…
- The entire mass of a system is assumed to be concentrated at a point, which we call the centre of mass. Such an…
- Three identical blocks are suspended on two identical springs one below the other as shown in figure. If thread is cut…
- Three blocks A, B and C of mass 3M, 2M and M, respectively, are suspended vertically with the help of springs PQ and TU…
- Two identical spheres A and B of radius r are released simultaneously from the positions as shown, in a vessel C of…
- The force required to just move a body up the inclined plane is double the force required to just prevent the body from…
- A block of mass m is pushed towards a movable wedge of mass nm and height h, with a velocity u. All surfaces are…
- Statement–1 : when initial and final velocities are equal, a quick and slow collision between two bodies will be…
- All surfaces shown in figure are smooth. System is released with the spring unstretched. In equilibrium, compression in…
- A man of mass m moves with a constant speed on a plank of mass M and length l kept initially at rest on a frictionless…
- The momentum of a particle is given by P =(4 t i -4 t j ) kgm / s . Select the correct alternative(s).
- A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them…
- Two blocks A and B of mass 5 kg and 2 kg, respectively, connected by a spring of force constant 100 N/m are placed on…
- A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure…
- An insect crawls up a hemispherical surface very slowly (see figure) The co-efficient of friction between the insect…
- A block of mass 2 kg rests on a rough inclined plane making an angle of 30° with the horizontal. The co-efficient of…
- A trolley is accelerating down an incline of angle with acceleration g sin . Which of the following is not correct? (…
- A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended…
- A block of mass 5 kg moves along the x -direction subject to the force F = (−20 x + 10) N, with the value of x in…
- A body of mass 60 kg is dragged along a horizontal surface by a horizontal force which is just sufficient to start the…
- The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium…
- A projectile is moving at 60 m/s at its highest point, where it breaks into two equal parts due to an internal…
- For the arrangement shown in the figure the tension in the string is
- Two bodies with masses, m 1 and m 2 (m 1 > m 2 ) are joined by a string passing over a fixed pulley. The centres of…
- For the arrangement shown in the figure the tension in the string is given by
- A 20 kg block is placed on top of 50 kg block as shown in the figure. A horizontal force F acting on A causes an…
- Two balls of equal mass are projected from a tower simultaneously with equal speeds. One at angle θ above the…
- A block of mass m is resting on a wedge of angle as shown in the figure. The wedge is given an acceleration a. What is…
- Statement–1 : It is not possible to know details of final motion just by knowing details of initial motion and without…
- Assertion: When static friction acts between two bodies, there is no loss of mechanical energy. Reason: When kinetic…
- A wedge of mass 2m and a cube of mass m are shown in figure. Between cube and wedge, there is no friction. The minimum…
- A block of mass m is at rest on an inclined surface having a coefficient of friction > as shown in the figure. The…
- What is the maximum value of the force F such that the block shown in the arrangement, does not move?
- The inclined plane is smooth and horizontal plane is rough. The ball placed at A collides elastically with similar ball…
- Particles P and Q of masses 20 g and 40 g respectively are projected from positions A and B on the ground. The initial…
- What is the maximum value of the force F such that the block shown in the arrangement, does not move?
- A piece of wire is bent in the shape of a parabola y = kx 2 ( y -axis vertical) with a bead of mass m on it. The bead…
- A student performs two experiments to determine the coefficient of static and kinetic friction between a block of mass…
- Three particles A, B and C of equal masses move with equal speeds v along the medians of an equalateral triangle. They…
- Three masses of 1 kg, 6 kg and 3 kg are connected to each other with threads and are placed on a table as shown in…
- A block of mass M lies on a rough surface of coefficient of friction A force is applied on it an angle to the…
- The time taken by a body to slide down a rough 45º incline plane is twice that required to slide down a smooth 45º…
- .A sphere of mass m is held between two smooth inclined walls. For sin 37° = 3/5, the normal reaction of the wall (2)…
- Two blocks A and B are pushed against the wall with the force F. The wall is smooth but the surface in contact of A and…
- A force of 100 N need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of…
- In the arrangement shown, if the surface is smooth, the acceleration of the block m 2 will be:
- Two masses are connected by a string which passes over a pulley accelerating upward at a rate as shown. If a_ 1 and a_…
- When a particle of mass m moves on the x -axis in a potential of the form V ( x ) = kx 2 , it performs simple harmonic…
- The string shown in the figure is passing over small smooth pulley rigidly attached to trolley A. Speed of trolley is…
- Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant K . The…
- Statement-1 : It is easier to pull a heavy object than to push it on a level ground. Statement-2 : The magnitude of…
- A ball is suspended by a thread from the ceiling of a car. The brakes are applied and the speed of the car changes…
- A ball of mass m and radius ( R 10 ) is placed as shown, on a block B of mass 9 m which is placed on a smooth surface…
- In the figure, the blocks A, B and C of mass m each have acceleration a_ 1 , a_ 2 and a_ 3 respectively. F_ 1 and F_ 2…
- A body moving towards a body of finite mass at rest collides with it. It is possible that
- A sphere of mass m moving with a constant velocity u hits another stationary sphere of same mass. If e is the…
- A 10 kg block is placed on the top of a 40 kg block as shown in the figure. A horizontal force F acting on B causes an…
- In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley…
- A carpenter has constructed a toy as shown in the adjoining figure. If the density of the material of the sphere is 12…
- During pedalling of a bicycle, the force of friction exerted by the ground on the two wheels is such that it acts.
- Statement-1 : A block of mass m starts moving on a rough horizontal surface with a velocity v . It stops due to…
- A man of mass m stands on a plane plank of mass ( m 2 ) , lying on a smooth horizontal floor. Initially both are at…
- During paddling of a bicycle, the force of friction exerted by the ground on the two wheels is such that it acts
- Block A has a mass of 40 kg and block B has a mass of 15 kg, and F of 500 N is applied parallel to smooth inclined…
- Two masses A and B of 7 kg and 3 kg respectively are connected with a string passing over a frictionless pulley fixed…
- Match the columns : Column–I Column–II (a ) Elastic collision (P) Constant kinetic energy (b ) Inelastic collision (Q)…
- A ball A of mass 3 m is placed at a distance d from the wall on a smooth horizontal surface. Another ball B of mass m…
- Two blocks A and B of masses 2 m and m , respectively are connected by a massless and inextensible string. The whole…
- A mass m moves with a velocity v and collides inelastically with another identical mass. After collision the Ist mass…
- A ball A of mass m is given an initial velocity to slide down and collide with ball B of mass (2m) so that ball B now…
- A body is moving down along an inclined plane of angle of inclination The coefficient of friction between the body and…
- A block of mass m is placed on another block of mass M which itself is lying on a horizontal surface. The coefficient…
- In the shown arrangement mass of A = 1 kg, mass of B = 2 kg. Coefficient of friction between A and B = 0.2 . There is…
- Assertion: On a rainy day, it is difficult to drive a car or a bus at high speed. Reason: The value of coefficient of…
- A homogeneous chain of length L lies on a table. The coefficient of friction between the chain and the table is . The…
- A block of mass 3 kg is at rest on a rough inclined plane as shown in the figure. The magnitude of net force exerted by…
- A particle A of mass m initially at rest slides down a height of 1.25 m on a frictionless ramp, collides with and…
- A mass of 3 kg descending vertically downward supports a mass of 2 kg by means of a light string passing over a pulley…
- A body A of mass 2 kg is projected upward from the surface of the ground at t = 0 with a velocity of 20 m/s. One second…
- A ball thrown with velocity 30 m/s and making an anlge 37° with horizontal. The ball strikes a vertical wall at a…
- You are supplied with three identical rods of same length and mass. The length of each rod is 2π. Two of them are…
- A pendulum bob of mass m connected to the end of an ideal string of length l is released from rest from horizontal…
- Assertion: If a body is trying to slip over a surface then friction acting on the body is necessarily equal to the…
- In the arrangement shown in figure, there is a friction force between the blocks of masses m and 2m. The mass of the…
- A body of mass 5 kg is suspended by the strings making angles 60° and 30° with the horizontal as shown in the figure (g…
- A mass of 10 g moving horizontally with a velocity of 100 cm/s strikes a pendulum bob of mass 10 g. Length of string is…
- A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed…
- Statement–1: If a sphere of mass m moving with speed u undergoes a perfectly elastic head–on collision with another…
- Statement–1 : In one dimensional elastic collision between an incoming body A and body B which is at rest, mass of body…
- A block of mass m is on an inclined plane of angle q. The coefficient of friction between the block and the plane is m…
- A cracker is thrown into air with a velocity of 10 m/s at an angle of 45° with the vertical. When its is at a height of…
- The rear side of a truck is open, and a box of mass 20 kg is placed on the truck 4 m away from the open end…
- A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is m. If the…
- In the following figure the weight w is 60.0 N. Find the magnitudes of the horizontal forces F 1 and F 2 that must be…
- Three blocks A, B and C of mass 3M, 2M and M, respectively, are suspended vertically with the help of springs PQ and TU…
- A block of mass 0.1 kg is held against a wall by applying a horizontal force of 5 N on the block. If the coefficient of…
- A uniform rope of mass m hangs freely from a ceiling. A bird of mass M climbs up the rope with an acceleration a. The…
- The sphere A of mass m 1 moves with velocity V on a frictionless horizontal surface and strikes with sphere B of mass m…
- In a free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M distance D away from it…
- In the previous problem, if m B >> m A , which of the following will be greatest for ball B ?
- Statement-1 : A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the…
- A student performs two experiments to determine the coefficient of static and kinetic friction between a block of mass…
- A block of weight 5 N is pushed against a vertical wall by a force of 12 N. The coefficient of friction between the…
- Block A of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizontal surface. The…
- The entire mass of a system is assumed to be concentrated at a point, which we call the centre of mass. Such an…
- An isolated particle of mass m is moving in a horizontal plane (x, y) along the x–axis at a certain height above the…
- Statement–1 : Centre of mass of a body will continue to move with constant velocity, if external forces acting on it…
- The engine of a car produces acceleration of 4 m s^ -2 in car. If this car pulls another car of same mass, what will be…
- Assertion: Pulling (refer to the figure) is easier than pushing [refer to the figure] on a rough surface. Reason…
- A light string going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on…
- Three blocks A, B and C of mass 3M, 2M and M, respectively, are suspended vertically with the help of springs PQ and TU…
- Two particles of mass m each are tied at the ends of a light string of length 2 a . The whole system is kept on a…
- A small block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle q with the horizontal. A…
- A uniform chain of length l is placed on a rough table with length l /n (n > 1) hanging over the edge. If the chain…
- A rough vertical board has an acceleration a along the horizontal, so that a block of mass M pressing against it does…
- A man weighing 80 kg is standing on a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails…
- Block A and B are resting on a smooth horizontal surface given equal speeds of 2 m/s in opposite sense as shown in the…
- Two blocks of masses m 1 and m 2 are connected through a massless inextensible string. Block of mass m1 is placed at…
- At high altitude, a body explodes at rest into two equal fragments with one fragment receiving horizontal velocity of…
- A moving particle of mass m, makes a head on elastic collision with a particle of mass 2m, which is initially at rest…
- A body of mass m is suspended by two strings making angles and with the horizontal. Tensions in the two strings are
- Three idential spheres, each of mass 1 kg are placed touching each other with their centres on a straight line. Their…
- A parabolic bowl with its bottom at origin has the shape y= x^ 2 20 . Here, x and y are in metres. The maximum height…
- Block A has a mass of 40 kg and block B has a mass of 15 kg, and F of 500 N is applied parallel to smooth inclined…
- In a two block system an initial velocity v 0 with respect to ground is given to block A :
- Tension in the cable supporting an elevator, is equal to the weight of the elevator. From this, we can conclude that…
- In the following figure the weight w is 60.0 N. The tension in the diagonal string is
- Three identical uniform rods of the same mass M and length L are arranged in xy plane as shown. A fourth uniform rod of…
- A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each…
- Assertion: In figure the ground is smooth and the masses of both the blocks are different. Net force acting on each of…
- A block of mass 0.1 kg is held against a wall applying a horizontal force of 5 N on the block. If the co-efficient of…
- A block slides down an inclined plane of slope of angle with a constant velocity. It is then projected up the plane…
- The sphere A starts moving from one end with velocity V on the stationary wedge B of mass M, as shown, Find the…
- From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remainder is…
- A boy of mass m is standing on a block of mass M kept on a rough surface. When the boy walks from left to right on the…
- A cannon ball is fired with a velocity 200 m/s at an angle of 60° with the horizontal. At the highest point of its…
- Assertion: A reference frame attached to the earth is an inertial frame of reference. Reason: Newton's laws can be…
- A man of mass 60 kg is standing on a horizontal conveyor belt. When the belt is given an acceleration of 1 m s^ -2 …
- In the previous problem, when the string is taut the velocity of the centre of mass is :
- A smooth sphere is moving on a horizontal surface with velocity vector 2 i +2 j immediately before it hits a vertical…
- Two blocks are connected over a massless pulley as shown in figure. The mass of block A is 10 kg and the coefficient of…
- Statement – 1: If no external force acts on a system of particles, then the centre of mass will not move in any…
- Block A and B shown in the figure are having equal masses m. The system is released from rest with the spring…
- A circular ring of mass 6 kg and radius a is placed such that its centre lies at the origin. Two particles of masses 2…
- In the figure, m_ A =2 ~kg and m_ a =4 ~kg . For what minimum value of F, A starts slipping over B? (g = 10 m/s 2 )
- Two blocks A and B are placed on a table and joined by a string (figure). The limiting friction for both blocks is F…
- The acceleration of a particle as observed from two different frames S 1 and S 2 have equal magnitudes of 2 m s^ -2 .
- A block of mass m is kept on an inclined plane of a lift moving down with acceleration of 2 m s^ -2 . What should be…
- In a vertical plane inside a smooth hollow thin tube, a block of same mass as that of tube is released as shown. When…
- The ball B is at rest. A moving ball A collides elastically with it in one dimension. The masses of balls are equal…
- A block of mass 2 M is attached to a massless spring with spring constant k . This block is connected to two other…