PhysicsPhysics QuestionsNewton’s Laws Of Motion- New Questions for CBSE Class 11th

Newton’s Laws Of Motion- New Questions for CBSE Class 11th

A bullet weighing 50 g leaves the muzzle of the gun with a velocity of 30 m/s. If the recoil speed imparted to the gun is 1 m/s, the mass of the gun:

A gun of mass M fires a bullet of mass m, with a Kinetic energy E. The total kinetic energy in the firing process is

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    A gun of mass M fires a bullet of mass m with a velocity v relative to the gun. The average force required to bring the gun to rest in 0.5 sec. is

    A surface is hit elastically and normally by n balls per unit time, all the balls having the same mass m and moving with the same velocity u .The force on the surface is:

    A lead ball strikes a wall and falls down. A tennis ball having the same mass and velocity strikes the same wall and bounces back. Which is the correct statement?

    A coin is dropped in a lift. It takes time t 1 to reach the floor when lift is stationary. It takes time t 2 when lift is moving up with constant acceleration. Then

    A person weighing 60 kg in a small boat of mass 140 kg which is at rest, throws a 5 kg stone in the horizontal direction with a velocity of 14 ms -1 . The velocity of the boat immediately after the throw is ( in m/s)

    Two blocks of masses m and M are placed on a horizontal frictionless table connected by light spring as shown in the figure . Mass M is pulled to the right with a force F. If the acceleration of mass m is a, then the acceleration of mass M will be

    A professional diver of mass 60 kg performs a dive from a platform 10 m above the water surface. Find the magnitude of the average impact force experienced by him if the impact time is 1s on collision with water surface. Assume that the velocity of the diver just after entering the water surface is 4ms -1 .

    A ball is suspended by a thread from the ceiling of a tram car. The brakes are applied and the speed of the car changes uniformly from 36 kmh –1 to zero in 5 s. The angle by which the ball deviates from the vertical is (g = 10 ms –2 )

    A block is kept on a frictionless inclined surface with angle of inclination a . The incline is given an acceleration ‘a’ to keep the block stationary. Then ‘a’ is equal to

    A man sits on a chair supported by a rope passing over a frictionless fixed pulley. The man who weighs 1,000 N exerts a force of 450 N on the chair downwards while pulling the rope on the other side. If the chair weighs 250N, then the acceleration of the chair is

    A particle of mass 5 m at rest suddenly breaks on its own into three fragments. Two fragments of mass m each move along mutually perpendicular direction with speed v each. the energy released during the process is :

    Statement A : If the force varies with time in a complicated way then the average force is measured by the total change in momentum of the body divided by the time during which the force acted . Statement B : Change in momentum and impulsive force are numerically equal

    A bomb falling freely bursts after 10 sec. (g=10ms -2 ) into two fragments of masses in the ratio of 2:1. The velocity of heavier fragment immediately after the explosion is 200 ms -1 vertically downwards. The velocity of the lighter fragment immediately after the explosion is

    A radioactive nucleus initially at rest decays by emitting an electron and neutron at right angles to one another. The momentum of the electron is 3 . 2 × 10 – 23 kgm/s and the momentum of neutron is 6.4 x 10 – 23 kgm/sec. The direction of the recoiling nucleus with that of the electron motion is:

    A vessel at rest explodes breaking it into three pieces. Two pieces having equal mass fly off perpendicular to one another with the same speed of 30 m/s. The third piece has three times the mass of each other piece. What is the direction (w.r.t. the pieces having equal masses) and magnitude of its velocity immediately after the explosion?

    A boy and a block, both of same mass, are suspended at the same horizontal level, from each end of a light string that moves over a frictionless pulley as shown. The boy starts moving upwards with an acceleration 2.5 m / s 2 relative to the rope. If the block is to travel a total distance l0 m before reaching at the pulley, the time taken by the block in doing so is equal to:

    A ball reaches a racket at 60 m/s along + X direction, and leaves the racket in the opposite direction with the same speed. Assuming that the mass of the ball as 50gm and the contact time is 0.02 second, the force exerted by the racket on the ball is

    A ball of mass ‘m’ moves normal to a wall with a velocity ‘u’ and rebounds with a velocity ‘v’. The change in momentum of the ball during the rebounding is

    If a force of 250N acts on a body, the momentum required is 125kgms -1 .The period for which the force acts on the body is

    A truck of mass 500kg is moving with constant speed 10ms -1 .If sand is dropped into the truck at the constant rate 10kg/min, the force required to maintain the motion with constant velocity is

    A 5000 kg rocket is set for vertical firing.The exhaust speed is 800 ms -1 .To give an upward acceleration of 20 ms -2 , the amount of gas ejected per second to supply the needed thrust is (g =10ms -2 )

    A small sphere of mass m = 2kg moving with a velocity u – = 4 i ^ − 7 j ^ m / s collides with a smooth wall and returns with a velocity v ¯ = − i ^ + 3 j ^ m / s . The magnitude of the impulse received by the ball is

    A ball of mass ’m’ is thrown at an angle is ‘ θ ’ with the horizontal with an initial velocity ‘u’. The change in its momentum during its flight in a time interval of ‘t’ is

    A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and 6s is

    An object of mass 3 kg is at rest. Now a force F = 6 t 2 i ^ + 2 t j ^ N is applied on the object. Find the velocity of the object at t = 3 sec.

    An impulse “I” given to a body changes its velocity from ” v 1 to v 2 “. The increase in the kinetic energy of the body is given by

    Three blocks of masses m 1 , m 2 and m 3 are connected by a massless string as shown in figure on a frictionless table. They are pulled with a force T 3 = 40N. If m 1 =10kg , m 2 = 6kg and m 3 = 4kg , then tension T 2 will be

    A horizontal force F pushes a 4 kg block (A) which pushes against a 2 kg block (B) as shown. The blocks have an acceleration of 3m/s 2 to the right. There is no friction between the blocks and the surfaces on which they slide. What is the net force B exerts on A?

    Two masses (M + m) and (M – m) are attached to the ends of a light inextensible string and the string is made to pass over the surface of a smooth fixed pulley. When the masses are released from rest, the acceleration of the system is

    A man and a cart move towards each other. The man weighs 64 kg and the cart weighs 32kg. The velocity of the man is 5.4 km/hr and that of the cart is 1.8 km/hr. When the man approaches the cart, he jumps on to it. The velocity of the cart carrying the man will be

    A bomb of mass 6 kg initially at rest explodes in to three identical fragments. One of the fragments moves with a velocity of 10 3 i ^ m / s , another fragment moves with a velocity of 10 j ^ m / s , then the third fragment moves with a velocity of magnitude.

    Two bodies of masses 5kg and 4kg are tied to a string as shown. If the table and pulley are smooth, then acceleration of 5kg mass will be

    The object at rest suddenly explodes into three parts with the mass ratio 2:1:1.The parts of equal masses move at right angles to each other with equal speed ‘v ’.the speed of the third part after explosion will be

    A mass of 10 kg is suspended by a rope of length 2.8m from a ceiling. A force of 98 N is applied at the midpoint of the rope as shown in figure. The angle which the rope makes with the vertical in equilibrium is

    A 0.2 kg object at rest is subjected to a force ( 0 .3 i ^ − 0 .4 j ^ ) N . What is its velocity vector after 6 sec

    A body of mass 2 kg is moving with a velocity of u = 3 i ^ + 4 j ^ m / s . A steady force F = i ^ − 2 j ^ N begins to act on it. After four seconds , the body will be moving along.

    A ball of mass ’m’ moves normal to a wall with a velocity ‘u’ and rebounds with the same speed. The change in momentum of the ball during the rebounding is

    Bullets of 0.03 kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 30 m/s. The average force acting on the plate in newton is

    Ten coins are placed on top of each other on a horizontal table. If the mass of each coin is 10g and acceleration due to gravity is 10 ms -2 , what is the magnitude and direction of the force on the 7th coin (counting from the bottom) due to all the coins above it?

    An impulse is supplied to a moving object with the force at an angle120 0 with the velocity vector. The angle between the impulse vector and the change in momentum vector is

    A vehicle of mass 100 kg is moving with a velocity of 5 ms -1 .To stop it in 1/10 sec the required force in opposite direction is

    A 20 kg body is pushed with a force of 7N for 1.5 sec then with a force of 5N for 1.7 sec and finally with a force of 10N for 3 sec, the total impulse applied to the body and change in velocity will be

    A body is acted on by a force given by F = (10 + 2t ) N . The impulse received by the body during the first four seconds is

    A unidirectional force F varying with time t as shown in the Fig. acts on a body initially at rest for a short duration 2T. Then the velocity acquired by the body is

    A 6.0kg object is suspended by a vertical string from the ceiling of an elevator which is accelerating upward at a rate of 2.2ms -2 .the tension in the string is

    If the average velocity of a body moving with uniform acceleration under the action of a force is “v” and the impulse it receives during a displacement of “s” is “I”, the constant force acting on the body is given by

    A young man of mass 60 kg stands on the floor of a lift which is accelerating downwards at 1m/ s 2 then the reaction of the floor of the lift on the man is (Take g = 9.8m/ s 2 )

    Three equal masses A, B and C are pulled with a constant force F. They are connected to each other with strings. The ratio of the tension between AB and BC is

    A coin is dropped in a lift. It takes time t 1 to reach the floor when lift is stationary. It takes time t 2 when lift is moving up with constant acceleration. Then

    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 masses is

    A pendulum bob is hanging from the roof of an elevator with the help of a light string. When the elevator moves up with uniform acceleration ‘a’ the tension in the string is T 1 .When the elevator moves down with the same acceleration, the tension in the string is T 2 .If the elevator were stationary, the tension in the string would be

    Three bodies are lying on a frictionless horizontal table and these are connected as shown in the figure. They are pulled towards right with a force T 3 = 60N If m 1 , m 2 and m 3 are equal to 10 kg,20kg and 30kg respectively, then the values of T 1 and T 2 will be

    A bullet of mass 20gm is fired from a riffle of mass 8 kg with a velocity of 100m/s. The velocity of recoil of the rifle is

    A space craft of mass 2000 kg moving with a velocity of 600m/s suddenly explodes into two pieces. One piece of mass 500 kg is left stationary. The velocity of the other part must be ( in m/s)

    A horizontal jet of water coming out of a pipe of area of cross-section 20cm 2 hits a vertical wall with a velocity of 10ms -1 and rebounds with the same speed. The force exerted by water on the wall is,

    A rocket of mass 40 kg has 160 kg fuel. The exhaust velocity of the fuel is 2 kms -1 .The rate of consumption of fuel is 4 kgs -1 .Calculate the ultimate vertical speed gained by the rocket.

    A particle of mass m, initially at rest is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle. Then

    A ball of mass 0.2kg strikes an obstacle and moves at 60° to its original direction. If its speed also changes from 20m/s to 10m/s, the magnitude of the impulse received by the ball is

    The block is placed on a frictionless surface in gravity free space. A heavy string of a mass m is connected and force F is applied on the string, then the tension at the middle of rope is

    Two persons are holding a rope of negligible weight tightly at its ends so that it is horizontal. A 15 kg weight is attached to rope at the midpoint which now no more remains horizontal. The minimum tension required to completely straighten the rope is

    A straight rope of length ‘L’ is kept on a frictionless horizontal surface and a force ‘F’ is applied to one end of the rope in the direction of its length and away from that end. The tension in the rope at a distance ‘l’ from that end is

    Consider three blocks of masses m 1 , m 2 ,m 3 interconnected by strings which are pulled by a common force F on a frictionless horizontal table as in the figure. The tension T 1 and T 2 are also indicated a) T 2 > T 1 if m 2 > m 1 b) T 2 = T 1 if m 2 = m 1 c) T 2 > T 1 always d) acceleration of the system = F m 1 + m 2 + m 3

    A man fires a bullet of mass 200 gm horizontally at a speed of 5 m/s’ The gun is of one kg mass. By what velocity the gun rebounds backward ?

    A space craft of mass M is moving with velocity v in free space when it explodes and breaks in two. After the explosion, a mass m of the space craft is Left stationary. What is the velocity of other part ?

    A shell is fired from a cannon with velocity v m/sec at an angle 0 with the horizontal direction’ At the highest point it its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in m/sec of the other piece immediately after the explosion is

    A particle of mass 5 m initially at rest explodes into three fragments with mass ratio g : 1 : 1. Two of the fragments each of mass m are found to move with a speed 60 m/s in mutually perpendicular directions.Then velocity of the third fragment (in m/s) will be

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