Laws of Motion — practice questions

169 curated practice questions from Laws of Motion (Physics JEE Main, NTA Exams) — 150 easy, 14 hard, 5 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

• A machine gun fires a steady stream of bullets at the rate of n per minute into a stationary target in which the…
• In the above problem, the acceleration of the lighter mass will be
• A body of mass m strikes a stationary body of mass M and undergoes an elastic collision. After collision, m has a speed…
• A stone tied to the end of a 1 m long string is whirled in a horizontal circle with a constant speed. If the stone…
• Four identical sphere each of radius 10 cm and mass 1 kg are placed on a horizontal surface touching one another so…
• A ball is dropped from a height of 1 m. If coefficient of restitution between the surface and the ball is 0.6, the ball…
• Two bodies A and B are attracted towards each other due to gravitation. Given that A is much heavier than B, which of…
• A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F = kt2 acts on the block, where k =…
• A block of mass m moving at a velocity v collides with another block of mass 2 m at rest. The lighter block comes to…
• A block of mass 5 kg is kept on a horizontal floor having coefficient of friction 0.09 . Two mutually perpendicular…
• A spacecraft is accelerating uniformly at the rate of 2 ~m / s ^ 2 A car is traveling in a circular path with uniform…
• A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 30^ with the wall. It is reflected with…
• P and Q are two identical masses at rest suspended by an inextensible string passing over a smooth frictionless pulley…
• Given below are two statements. STATEMENT - 1: Mass is the measure of inertia. STATEMENT - 2: Force can be measured by…
• When a force F acts on a body of mass m, the acceleration produced in the body is a. If three equal forces F_ 1 =F_ 2…
• In a gravity free space, a man of mass M standing at a height h above the floor, throws a ball of mass m straight down…
• A man weighs 80 kg. He stands on a weighing scale in the lift, which is moving upwards with a uniform acceleration of 5…
• While walking on ice, one should take small steps to avoid slipping. This is because smaller steps ensure
• The acceleration of the 2 kg block, if the free end of string is pulled with a force of 20 N as shown is:
• A block is gently placed on a conveyor belt moving horizontally with constant speed. After t = 4 s, the velocity of the…
• A car having a mass of 1000 kg is moving at a speed of 30 m/s. Brakes are applied to bring the car to rest. If the…
• A monkey is accelerating down a string whose breaking strength is two third of his weight. The minimum acceleration of…
• A boy of mass M is applying a horizontal force to slide a box of mass M’ on a rough horizontal surface. The coefficient…
• Two particles of equal mass have co-ordinates (2m, 4m, 6m) and (6m, 2m, 8m). Of these one particle has a velocity v _ 1…
• A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The smaller fragment…
• A mass m with velocity u strikes a wall normally and returns with the same speed. What is magnitude of the change in…
• A mass m rests on a horizontal surface. The coefficient of friction between the mass and the surface is . If mass is…
• Two particles A and B initially at rest, move towards each other under a mutual force of attraction. At the instant…
• A block of mass M rests on a rough horizontal surface as shown. Coefficient of friction between the block and the…
• Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration a . The…
• A mass 'M' is connected to a rope of length and mass m on which an external force F is applied, the tension force at A…
• A uniform metal disc of radius R is taken and out of it, a disc of diameter R is cut-off from the end. The centre of…
• A 50 gram bullet moving with a velocity of 10 ms–1 gets embedded into a 950 g stationary body. The loss in K.E. of the…
• In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.12 × 10 –10 m. The…
• A particle is projected from a point at an angle with the horizontal. At any instant t, if p is the linear momentum and…
• In a situation the contact force by a rough horizontal surface on a body placed on it has constant magnitude. If the…
• The coefficient of friction of a surface is 1 3 . What should be the angle of inclination so that a body placed on the…
• Two ice skaters A and B approach each other at right angles. Skater A has a mass 30 kg and velocity 1 m/s skater B has…
• Four bodies of masses 2,3,5 and 8 kg are placed at the four corners of a square of side 2 m. The position of CM will be:
• Given below are two statements. STATEMENT - 1: Two particles moving in the same direction do not lose all their energy…
• A given object takes n times more time to slide down 45° rough inclined plane as it takes to slide down a perfectly…
• Given below are two statements. STATEMENT - 1: The force constant of a spring depends on the nature of the material…
• A box of mass 8 kg is placed on a rough inclined plane of inclination . Its downward motion can be prevented by…
• A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walk to…
• A body of mass M is kept on a rough horizontal surface (friction coefficient = μ). A person is trying to pull the body…
• Consider the following two statements : (A) Linear momentum of the system remains constant (B) Centre of mass of the…
• In the figure shown, if coefficient of friction is , then m2 will start moving upwards if:
• Given below are two statements. STATEMENT - 1: The coefficient of friction must be greater than 1. STATEMENT - 2: The…
• Given below are two statements. Statement I : Same force applied for the same time causes the same change in momentum…
• A block of mass 0.1 kg is held against a wall applying horizontal force of 5 N on the block. If coefficient of friction…
• The collision of two balls of equal mass takes place at the origin of co-ordinates. Before collision, the components of…
• Two bodies A and B having masses in the ratio 3 : 1 possess the same kinetic energy. The ratio of linear momentum of A…
• The coefficient of friction between the tyres and road is 0.4 . The minimum distance covered before attaining a speed…
• A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary…
• Given below are two statements. STATEMENT - 1: The coefficient of restitution for a perfectly inelastic collision is 0…
• Two weights W1 and W2 are suspended from the ends to a light string passing over a smooth fixed pulley. If the pulley…
• The upper half of an inclined plane of inclination is perfectly smooth while the lower half is rough. A block starting…
• A ship of mass 3 10^ 7 kg initially at rest is pulled by a force 5 10^ 4 N through a distance of 3m. Assuming that the…
• A rocket of mass 100 kg burns 0.1 kg of fuel per sec. If velocity of exhaust gas is 1 km/s, then it lifts with an…
• A particle of mass 15 kg and initial velocity v _ i = i -2 j m/s. It collides with another body and the impact time is…
• A bullet of mass 0.01 kg and travelling at a speed of 500 ~ms ^ -1 strikes a block of 2 kg, which is suspended by a…
• Three equal weights A, B and C of mass 2 kg each are hanging on a string passing over a fixed pulley which is…
• A body is projected along a rough horizontal surface with a velocity 6 m/s. If the body comes to rest after travelling…
• A body of mass 1 kg initially at rest, explodes and breaks into three fragments of masses in the ratio 1 : 1 : 3 . The…
• A lift weighing 1000 kg is moving upwards with an acceleration of 1 ~m / s ^ 2 . The tension in the supporting cable is
• A block of mass m is given an initial downward velocity v_ 0 and left on an inclined plane (coefficient of friction =…
• A block A kept on an inclined surface just begins to slide if the inclination is 30°. The block is replaced by another…
• If a body loses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before…
• A rocket with a lift-off mass 3.5 10^ 4 ~kg is blasted upwards with an acceleration of 10 ~m / s ^ 2 . The initial…
• A block is placed on the top of a smooth inclined plane of inclination kept on the floor of a lift. When the lift is…
• Two blocks, each having a mass M, rest on frictionless surfaces as shown in the figure. If the pulleys are light and…
• A body of mass m _ 1 moving with a uniform velocity of 40 m/s. collides with another of mass m _ 2 at rest and then the…
• A balloon of weight W is falling vertically downward with a constant acceleration a (<g). The magnitude of the air…
• A system consists of mass M and m (<< M). The centre of mass of the system is :
• For a system to be an inertial frame of reference, its displacement should be
• Two balls of equal mass have a head on collision with speed 6 m/s each in opposite direction. If the coefficient of…
• In the above problem, if a push of 5 N is applied on the lighter mass, the force exerted by the lighter mass on the…
• In order to stop a car in shortest distance on a horizontal road, one should
• The two pulley arrangements shown in the figure are identical. The mass of the rope is negligible. In (a) the mass m is…
• Three rods of the same mass are placed as shown in the figure. What will be the co-ordinate of centre of mass of the…
• A force vector applied on a mass is represented by F =6 i -8 j +10 k and accelerates with 1 ~m / s ^ 2 . What is the…
• A meter stick is placed vertically at the origin on a frictionless surface. A gentle push in +x direction is given to…
• A motor cyclist going round in a circular track at a constant speed has
• Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air :
• A constant force acts on a body of mass 0.9 kg at rest for 10s. If the body moves a distance of 250 m, the magnitude of…
• A 50 kg mass is travelling at a speed of 2 m/s. Another 60 kg mass travelling at a speed of 12 m/s in the same…
• Given below are two statements. STATEMENT - 1: When the lift is moving upwards with an acceleration, a person on it…
• A block of mass m, lying on a rough horizontal plane, is acted upon by a horizontal force P and another force Q…
• Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force F…
• A shell of mass m is moving horizontally with velocity v0 and collides with a wedge of mass M just above point A, as…
• A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. it strikes another mass of 1.00 kg and…
• A uniform square plate ABCD has mass of 10 kg. If two points masses of 5 kg each are placed at the corners C and D as…
• An object of mass 10 kg moves at a constant speed of 10 m/s. A constant force, that acts for 4 s on the object, gives…
• Masses of 2 kg each are placed at the corners B and A of a rectangular plate ABCD as shown in the figure. A mass of 8…
• A projectile is projected at 20 ~ms ^ -1 , at its highest point where it breaks into equal parts due to an internal…
• A bullet of mass m moving with velocity v strikes a suspended wooden block of mass M. If the block rises to a height h…
• A steel ball strikes a steel plate at an angle θ with the vertical. If the coefficient of restitution is e, the angle…
• When a ball of mass 5 kg hits a bat with a velocity 3 m/s, in positive direction and it moves back with a velocity 4…
• A uniform metal rod of length 1 m is bent at 90° so as to form two arms of equal length. The centre of mass of this…
• A rope of length L and mass M is hanging from a rigid support. The tension in the rope at a distance x from the rigid…
• A car is running on a highway turning having a curved track of radius 145 m banked at an angle of 11.5^ .Taking the…
• The pendulum hanging from the ceiling of a railway carriage makes angle 30° with the vertical, when it is accelerating…
• Three balls A, B and C (m_ A =m_ C =4 m_ B ) are placed on a smooth horizontal surface. Ball B collides with ball C…
• One projectile moving with velocity v in space, gets burst into 2 parts of masses in the ratio 1 : 3 . The smaller part…
• Two masses m 1 and m 2 are attached to a string which passes over a frictionless smooth pulley. When m1 = 10 kg, m2 = 6…
• A dynamometer D is attached to two bodies of masses M = 6 kg and m = 4 kg. Forces F = 20 N and f = 10 N are applied to…
• A bullet of mass 5 g is fired at a velocity 900 ~ms ^ -1 from a rifle of mass 2.5 kg. What is recoil velocity of the…
• A particle of mass m moving towards the east with speed v collides with another particle of the same mass and same…
• Two particles of masses 4 kg and 8 kg are separated by a distance of 12 m. If they are moving towards each other under…
• A smooth inclined plane of length L, having an inclination with horizontal is inside a lift which is moving down with…
• A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and…
• A shell is fired from cannon with a velocity v at an angle θ with the horizontal direction. At the highest point in its…
• The Earth (mass = 6 x 10 24 kg) revolves around the Sun with an angular velocity of 2 x 10 -7 rad/s in a circular orbit…
• A spacecraft of mass M moves with velocity V in free space at first, then it explodes, breaking into two pieces. If…
• A bag of mass M hangs by a long thread and a bullet of mass m comes horizontally with velocity v and gets caught in the…
• If a block moving up at =30^ with a velocity 5 m/s, stops after 0.5 sec, then coefficient of friction ( ) is [take 1 3…
• A mass M is suspended by a rope from a rigid support at A as shown. Another rope is tied at the end B and it is pulled…
• Two blocks of mass 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal…
• A 1 kg block and 0.5 kg block move together on a horizontal frictionless surface. Each block exerts a force of 6 N on…
• Consider the following two statements : (A) Linear momentum of a system of particles is zero (B) Kinetic energy of a…
• Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a frictionless horizontal surface. If we…
• Two particles are shown in the figure. At t=0 a constant force F =6 ~N starts acting on the 3 kg mass. Find the…
• All the particles of a body are situated at a distance R from the origin. The distance of centre of mass of the body…
• Consider the following two Statements: A. Linear momentum of a system of particles is zero B. Kinetic energy of a…
• A uniform circular disc of radius a is taken. A circular portion of radius b has been removed from its as shown in the…
• 10,000 small balls, each weighing 1 g, strike one square cm of area per second with a velocity 100 m/s in a normal…
• Pushing force making an angle to the horizontal (towards bottom of the block) is applied on a block of weight W placed…
• In the motion of a rocket, physical quantity which is conserved is
• In the above question, tension force at midpoint of the rope is
• Two blocks are connected over a massless pulley as shown in figure. The mass of block A is 10 kg and the coefficient of…
• A block of mass m is placed on a smooth wedge of inclination . The whole system is accelerated horizontally so that the…
• Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
• Ten coins are placed on top of each other on a horizontal table. If the mass of each coin is 10 g and acceleration due…
• The position of centre of mass of a system consisting of two particles of masses Il _ 1 and m _ 2 separated by a…
• The mass of a lift is 500 kg. What will be the tension in its cable when it is going up with an acceleration of 2.0 m /…
• A bullet weighing 50 gm leaves the gun with a velocity of 30 m/s. If the recoil speed imparted to the gun is 1 m/s, the…
• Force is the product of mass and acceleration. This formula cannot be deduced from Newton' second law of motion if
• A block of mass 2 kg collides with a horizontal massless spring of force constant 2 Nm–1 . The block compresses the…
• An object is resting at the bottom of two strings which are inclined at an angle of 120° with each other. Each string…
• Three forces acting on a body are shown in fig. To have the resultant force only along the y-direction, the magnitude…
• Two blocks are attached to the two ends of a string passing over a smooth pulley as shown in the figure. The…
• The magnitude of the impulse developed by a mass of 0.2 kg which changes its velocity from 5 i -3 j +7 k m/s to 2 i +3…
• Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between…
• Two blocks are in contact on a frictionless table. One has mass m and the other 2 m. A force F is applied on 2m as…
• Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3 : 1. What is the ratio of their linear…
• Given below are two statements. STATEMENT - 1: Friction can be decreased by lubrication. STATEMENT - 2: By lubrication…
• A square plate of side 20 cm has uniform thickness and density. A circular part of diameter 8 cm is cut out…
• Three blocks of masses 2 kg , 3 kg and 5 kg are connected to each other with light string and are then placed on a…
• A force of 50 N is required to push a car on a level road with constant speed of 10 m/s. The mass of the car is 500 kg…
• In the game of tug of wars, a condition of equilibrium exists. Both the teams pull the rope with a force of 10^ 4 N …
• In an elevator moving vertically up with an acceleration ‘g’, the force exerted on the floor by a passenger of mass M is
• For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is:
• A block of mass 10 kg is suspended by three strings as shown in the figure. The tension T_ 2 is:
• Determine the time in which the smaller block reaches other end of bigger block in the figure
• If the linear momentum is increased by 5%, the kinetic energy will increase by:
• In the above question normal reaction between ground and wedge will have magnitude equal to:
• A massive ball moving with speed v collides with a tiny ball of negligible mass. The collision is elastic. The second…
• A sphere is accelerated upwards with the help of a cord whose breaking strength is five times its weight. The maximum…
• An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the…
• An object of mass 2 kg is moving with a velocity of 3 m/s and collides head on with an object B of mass 1 kg moving in…
• A minimum force F is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle…
• Two cars of unequal masses use similar tyres. If they are moving at the same initial speed, the minimum stopping…
• A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of their momenta is
• Given below are two statements. STATEMENT - 1: The frictional force always acts in a direction so as to oppose the…
• A 50 kg boy stands on a platform spring scale in a lift that is going down with a constant speed 3 m/s. If the lift is…
• Given below are two statements. STATEMENT - 1: If net force acting on a system is zero then centre of mass of the…
• A body of mass m is acted upon by a force F and the acceleration produced is a. If three forces each equal to F and…
• A wooden box of mass 8 kg slides down an inclined plane of inclination 30° to the horizontal with a constant…
• A 2kg of block of wood rests on a long table top. A 5 g bullet moving horizontally with a speed of 150 m/s is shot into…

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