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Center of Mass, Momentum and Collision — NEET UG Physics PYQs

243 previous year questions from Center of Mass, Momentum and Collision with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

243 questionsPhysicsSolutions on every page
1

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point A ( = 2 ) with identical unifo

NEET 2026 Solution View → 2

Bob B of mass m at rest is hanging vertically from the ceiling via a massless string of length 10 m, as shown in the figure. Point mass A of mass m travelling horizontally with spe

NEET 2026 Solution View → 3

A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the gro

NEET 2025 Solution View → 4

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v₁ while body B is at rest before collision. The velocity of

NEET 2024 Solution View → 5

Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3 v , the speed of cent

NEET 2023 Solution View → 6

A 1 ~kg object strikes a wall with velocity 1 ~ms ⁻¹ at an angle of 60^ with the wall and reflects at the same angle. If it remains in contact with wall for 0.1 ~s , then the force

NEET 2023 Solution View → 7

A bullet of mass m hits a block of mass M elastically. The transfer of energy is the maximum, when

NEET 2023 Solution View → 8

A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1 . If the fragments having equal mass fly off along mutually perpendicula

NEET 2022 Solution View → 9

Two objects of mass 10   kg and 20   kg respectively are connected to the two ends of a rigid rod of length 10   m with negligible mass. The distance of the center o

NEET 2022 Solution View → 10

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R), Assertion (A): When a fire cracker (rocket) explodes in mid air, its fragm

NEET 2022 Solution View → 11

The distance covered by a body of mass 5 ~g having linear momentum 0.3 ~kg ~m / s in 5 ~s is:

NEET 2022 Solution View → 12

A ball of mass 0 . 15   kg is dropped from a height 10   m strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is g = 10 &#1

NEET 2021 Solution View → 13

Three identical spheres, each of mass M , are placed at the corners of a right angle triangle with mutually perpendicular sides equal to 2   m (see figure). Taking the point o

NEET 2020 Solution View → 14

Two particles of mass 5   kg and 10   kg respectively are attached to the two ends of a rigid rod of length 1   m with negligible mass. The centre of mass of the sys

NEET 2020 Solution View → 15

Assertion: There is no loss in energy in elastic collision. Reason : Linear momentum is conserved in elastic collision.

AIIMS 2019 Solution View → 16

A gun applies a force F on a bullet which is given by F= (100-0.5 10^5 t ) N . The bullet emerges out with speed 400 ~m ~s ⁻¹ . Then find out the impulse exerted till force on bull

AIIMS 2019 Solution View → 17

A spacecraft of mass 100 ~kg breaks into two when its velocity is 10^4 ~m ~s ⁻¹ . After the break, a mass of 10 ~kg of the spacecraft is left stationary. The velocity of the remain

AIIMS 2019 Solution View → 18

Body A of mass 4 m moving with speed u collides with another body B of mass 2 m at rest. The collision is head on and elastic in nature. After the collision the fraction of energy

AIIMS 2019 Solution View → 19

Assertion : A glass ball dropped on concrete floor can easily get broken compared if it is dropped on wooden floor. Reason : On concrete floor glass ball will take less time to com

AIIMS 2019 Solution View → 20

A toy truck of mass 2 m elastically collides with a toy car of mass m . speed of truck is v and car is at rest. Find the velocity of car after collision.

JIPMER 2019 Solution View → 21

One object of mass 20 kg is moving with speed 10 ~m / s in west direction another object of mass 10 kg is moving with 15 ~m / s in North direction. Both collide and stick together.

JIPMER 2019 Solution View → 22

Two objects of mass m each moving with speed u~m / s collide at 90^ , then final momentum is (assume collision is inelastic)

JIPMER 2019 Solution View → 23

If a ball of mass 0.1 kg hits the ground from the height of 20 m and bounce back to the same height, then find out the force exerted on the ball if the time of impact is 0.04 sec .

JIPMER 2019 Solution View → 24

An object flying in air with velocity (20 i +25 j -12 k ) suddenly breaks in two pieces whose masses are in the ratio 1: 5 . The smaller mass flies off with a velocity (100 i +35 j

NEET 2019 Solution View → 25

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 each speed v. The ene

NEET 2019 Solution View → 26

Body A of mass 4 m moving with speed u collides with another body B of mass 2 m at rest. The collision is head on and elastic in nature. After the collision, the fraction of energy

NEET 2019 Solution View → 27

A gun applies a force F on a bullet which is given by F= (100-0.5 10^5 t ) N . The bullet emerges out with speed 400 ~m ~s ⁻¹ . Then find out the impulse exerted till force on bull

NEET 2019 Solution View → 28

Body A of mass 4 m moving with speed u collides with another body B of mass 2 m at rest. The collision is head on and elastic in nature. After the collision the fraction of energy

NEET 2019 Solution View → 29

A spacecraft of mass 100 ~kg breaks into two when its velocity is 10^4 ~m ~s ⁻¹ . After the break, a mass of 10 ~kg of the spacecraft is left stationary. The velocity of the remain

NEET 2019 Solution View → 30

Assertion: There is no loss in energy in elastic collision. Reason : Linear momentum is conserved in elastic collision.

NEET 2019 Solution View → 31

Assertion : A glass ball dropped on concrete floor can easily get broken compared if it is dropped on wooden floor. Reason : On concrete floor glass ball will take less time to com

NEET 2019 Solution View → 32

A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 ~m ~s ⁻² . The fuel is finished in 1 ~min and it continues to move up. What is the maximum

AIIMS 2018 Solution View → 33

A body of mass m₁ collides elastically with another body of mass m₂ at rest. If the velocity of m₁ after collision becomes 2 / 3 times its initial velocity, the ratio of their mass

AIIMS 2018 Solution View → 34

Assertion : A rocket works on the principle of conservation of linear momentum. Reason : Higher the velocity, smaller is the pressure and vice-versa.

AIIMS 2018 Solution View → 35

Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is

AIIMS 2018 Solution View → 36

A bomb moving with velocity (40 i +50 j -25 k ) m s ⁻¹ explodes into two pieces of mass ratio 1: 4 . After explosion the smaller piece moves away with velocity (200 i +70 j +15 k )

AIIMS 2018 Solution View → 37

What will be the position of centre of mass of a half disc of uniform mass density as shown

AIIMS 2018 Solution View → 38

Centre of mass of a uniform ring of radius R will be at a position

AIIMS 2018 Solution View → 39

A moving block having mass m , collides with another stationary block having mass 4 m . The lighter block comes to rest after collision. When the initial velocity of the lighter bl

NEET 2018 Solution View → 40

Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is

NEET 2018 Solution View → 41

A body of mass m₁ collides elastically with another body of mass m₂ at rest. If the velocity of m₁ after collision becomes 2 / 3 times its initial velocity, the ratio of their mass

NEET 2018 Solution View → 42

Centre of mass of a uniform ring of radius R will be at a position

NEET 2018 Solution View → 43

A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 ~m ~s ⁻² . The fuel is finished in 1 ~min and it continues to move up. What is the maximum

NEET 2018 Solution View → 44

What will be the position of centre of mass of a half disc of uniform mass density as shown

NEET 2018 Solution View → 45

A bomb moving with velocity (40 i +50 j -25 k ) m s ⁻¹ explodes into two pieces of mass ratio 1: 4 . After explosion the smaller piece moves away with velocity (200 i +70 j +15 k )

NEET 2018 Solution View → 46

Assertion : A rocket works on the principle of conservation of linear momentum. Reason : Higher the velocity, smaller is the pressure and vice-versa.

NEET 2018 Solution View → 47

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by impact, the value of coefficient of re

AIIMS 2017 Solution View → 48

Assertion : A rigid body can be elastic. Reason : If a force is applied on the rigid body, its dimensions may change.

AIIMS 2017 Solution View → 49

Assertion : A particle strikes head-on with another stationary particle such that the first particle comes to rest after collision. The collision should necessarily be elastic. Rea

AIIMS 2017 Solution View → 50

A stick of length L and mass M lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed V collides elastically with the

JIPMER 2017 Solution View → 51

Which of the following statements are correct? (i) Centre of mass of a body always coincides with the centre of gravity of the body. (ii) Centre of mass of a body is the point at w

NEET 2017 Solution View → 52

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by impact, the value of coefficient of re

NEET 2017 Solution View → 53

Assertion : A rigid body can be elastic. Reason : If a force is applied on the rigid body, its dimensions may change.

NEET 2017 Solution View → 54

Assertion : A particle strikes head-on with another stationary particle such that the first particle comes to rest after collision. The collision should necessarily be elastic. Rea

NEET 2017 Solution View → 55

Assertion : KE is conserved at every instant of elastic collision. Reason : No deformation of matter occurs in elastic collision.

AIIMS 2016 Solution View → 56

If the linear momentum is increased by 50 % , then kinetic energy will increase by

AIIMS 2016 Solution View → 57

A gun of mass 10 ~kg fires 4 bullets per second. The mass of each bullet is 20 ~g and the velocity of the bullet when it leaves the gun is 300 ~m ~s ⁻¹ . The force required to hold

AIIMS 2016 Solution View → 58

A sphere of mass m moving with velocity v hits inelastically with another stationary sphere of same mass. The ratio of their final velocities will be (in terms of e )

JIPMER 2016 Solution View → 59

Particles of masses m, 2 m, 3 m, , n m are placed on the same line at distances L, 2 L, 3 L, , n L from O . The distance of centre of mass from O is

JIPMER 2016 Solution View → 60

A bullet of mass 10 g moving horizontally with a velocity of 400 m s - 1 strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5 m. As a r

NEET 2016 Solution View → 61

Two identical balls A and B having velocities of 0 . 5   m   s - 1 and - 0 . 3   m   s - 1 , respectively, collide elastically in one dimension. The velocities

NEET 2016 Solution View → 62

A rigid ball of mass, m strikes a rigid wall at 60 o and gets reflected without any loss of speed as shown in the figure below. The value of impulse imparted by the wall on the bal

NEET 2016 Solution View → 63

A gun of mass 10 ~kg fires 4 bullets per second. The mass of each bullet is 20 ~g and the velocity of the bullet when it leaves the gun is 300 ~m ~s ⁻¹ . The force required to hold

NEET 2016 Solution View → 64

If the linear momentum is increased by 50 % , then kinetic energy will increase by

NEET 2016 Solution View → 65

Assertion : KE is conserved at every instant of elastic collision. Reason : No deformation of matter occurs in elastic collision.

NEET 2016 Solution View → 66

A body weighing 8 g when placed in one pan and 18 g when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of

JIPMER 2015 Solution View → 67

A ball of mass m hits the floor with a speed v making an angle of incidence with the normal. The coefficient of restitution is e . The speed of reflected ball and the angle of refl

JIPMER 2015 Solution View → 68

The density of a rod having length l varies as =c+d x , where x is the distance from the left end. The centre of mass is

JIPMER 2015 Solution View → 69

On a frictionless surfaces, a block of mass M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block m

NEET 2015 Solution View → 70

Point masses m 1 and m 2 are placed at the opposite ends of rigid rod of length L , and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The positi

NEET 2015 Solution View → 71

Two spherical bodies of mass M and 5M and radii R and 2R released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravit

NEET 2015 Solution View → 72

Two particles of masses m 1 ,   m 2 move with initial velocities u 1 and u 2 . On collision, one of the particles get excited to higher level, after absorbing energy ε. I

NEET 2015 Solution View → 73

Two homogeneous spheres A and B of masses m and 2 m having radii 2 a and a respectively are placed in touch. The distance of centre of mass from first sphere is

AIIMS 2014 Solution View → 74

A heavy truck moving with a velocity of 60 ~km ~h ⁻¹ collides with a light drum at rest. If the collision be elastic, then the velocity of the drum immediately after collision will

AIIMS 2014 Solution View → 75

Assertion: A quick collision between two bodies is more violent than a slow collision, even when the initial and the final velocities are identical. Reason: The rate of change of m

AIIMS 2014 Solution View → 76

The force ‘ F ' acting on a particle of mass ‘ m ' is indicated by the force-time graph shown below. The change in momentum of the particle over the time interv

NEET 2014 Solution View → 77

A body of mass 4 m is lying in x - y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass m move perpendicular to each other with equal speeds υ . T

NEET 2014 Solution View → 78

A heavy truck moving with a velocity of 60 ~km ~h ⁻¹ collides with a light drum at rest. If the collision be elastic, then the velocity of the drum immediately after collision will

NEET 2014 Solution View → 79

Two homogeneous spheres A and B of masses m and 2 m having radii 2 a and a respectively are placed in touch. The distance of centre of mass from first sphere is

NEET 2014 Solution View → 80

Assertion: A quick collision between two bodies is more violent than a slow collision, even when the initial and the final velocities are identical. Reason: The rate of change of m

NEET 2014 Solution View → 81

Assertion : Centre of mass of a system does not move under the action of internal forces. Reason : Internal forces are non conservative forces.

AIIMS 2013 Solution View → 82

A moving body of mass m and velocity 3 ~km / h collides with a rest body of mass 2 m and stick to it. Now the combined mass starts to move. What will be the combined velocity?

JIPMER 2013 Solution View → 83

A person holding a rifle (mass of person and rifle together is 100 ~kg ) stands on a smooth surface and fires 10 shots horizontally, in 5 ~s . Each bullet has a mass of 10 ~g with

NEET 2013 Solution View → 84

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 ~kg moves with a speed of 12 ~ms ⁻¹ an

NEET 2013 Solution View → 85

Assertion : Centre of mass of a system does not move under the action of internal forces. Reason : Internal forces are non conservative forces.

NEET 2013 Solution View → 86

Assertion : In elastic collision, kinetic energy is conserved. Reason : Energy is always conserved.

AIIMS 2012 Solution View → 87

A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2: 3 . The smaller fragment moves with a velocity of 6 ~m / s . The kinetic energy of the la

JIPMER 2012 Solution View → 88

A body of mass m₁=4 ~kg moves at 5 i~ m / s and another body of mass m₂=2 ~kg moves at 10 i~ m / s . The kinetic energy of centre of mass is

JIPMER 2012 Solution View → 89

Two rectangular blocks A and B of masses 2 kg and 3 kg respectively are connected by a spring of spring constant 10.8 Nm ⁻¹ and are placed on a frictionless horizontal surface. The

JIPMER 2012 Solution View → 90

Two persons of masses 55 ~kg and 65 ~kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 ~m and weighs 100 ~kg . The 55 ~kg man walks up to the 65 ~k

NEET 2012 Solution View → 91

Three masses are placed on the x -axis : 300 ~g at origin, 500 ~g at x=40 ~cm and 400 ~g at x=70 ~cm . The distance of the centre of mass from the origin is

NEET 2012 Solution View → 92

Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity y along x -axis. After collision B has a velocity v 2 in a direct

NEET 2012 Solution View → 93

Assertion : In elastic collision, kinetic energy is conserved. Reason : Energy is always conserved.

NEET 2012 Solution View → 94

Assertion : KE is conserved at every instant of (elastic) collision. Reason : No deformation of matter occurs in elastic collision.

AIIMS 2011 Solution View → 95

A body of mass M hits normally a rigid wall with velocity y and bounces back with the same velocity. The impulse experienced by the body is

NEET 2011 Solution View → 96

A mass m moving horizontally (along the x -axis) with velocity v collides and sticks to mass of 3 m moving vertically upward (along the y -axis) with velocity 2 v . The final veloc

NEET 2011 Solution View → 97

Assertion : KE is conserved at every instant of (elastic) collision. Reason : No deformation of matter occurs in elastic collision.

NEET 2011 Solution View → 98

A ball moving with velocity 2 ~ms ⁻¹ collides head on with another stationary ball of double the mass. If the coefficient of restitution is 0.5 , then their velocities (in ms ⁻¹ )

NEET 2010 Solution View → 99

A man of 50 ~kg mass is standing in a gravity free space at a height of 10 ~m above the floor. He throws a stone of 0.5 ~kg mass downwards with a speed 2 ~ms ⁻¹ . When the stone re

NEET 2010 Solution View → 100

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2 v at any instant, then the speed of ce

NEET 2010 Solution View → 101

(1) Centre of gravity (CG) of a body is the point at which the weight of the body acts. (2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infi

NEET 2010 Solution View → 102

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity . Two objects each of mass m are attached gently to the opposite ends of a dia

NEET 2010 Solution View → 103

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 ~ms ⁻¹ . The mass per unit length of water in the pipe is 100 kgm ⁻¹ . W

NEET 2010 Solution View → 104

A ball is bouncing down a flight of stairs. The coefficient of restitution is e . The height of each step is d and the ball descends one step each bounce. After each bounce it rebo

AIIMS 2009 Solution View → 105

Assertion : Impulsive force is large and acts for a short time. Reason : Finite change in momentum should be produced by the force.

AIIMS 2009 Solution View → 106

Assertion : The bob of a simple pendulum is a ball full of water, if a fine hole is made in the bottom of the ball, the time period first increases and then decreases. Reason : As

AIIMS 2009 Solution View → 107

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 ~kg first part moving with a velocity of 12 ~ms ⁻¹ and 2 ~kg second par

NEET 2009 Solution View → 108

Two bodies of mass 1 ~kg and 3 ~kg have position vectors i +2 j + k and -3 i -2 j + k , respectively. The centre of mass of this system has a position vector

NEET 2009 Solution View → 109

An engine pumps water continuously through a hose. Water leaves the hose with a velocity y and m is the mass per unit length of the water jet. What is the rate at which kinetic ene

NEET 2009 Solution View → 110

Two bodies of mass 1 ~kg and 3 ~kg have position vectors i +2 j + k and -3 i -2 j + k , respectively. The centre of mass of this system has a position vector :

NEET 2009 Solution View → 111

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate which kinetic energy

NEET 2009 Solution View → 112

An explosion blows a rock into three parts Two parts go off at right angles to each other. These two are, 1 ~kg first part moving with a velocity of 12 ~ms ⁻¹ and 2 ~kg second part

NEET 2009 Solution View → 113

A ball is bouncing down a flight of stairs. The coefficient of restitution is e . The height of each step is d and the ball descends one step each bounce. After each bounce it rebo

NEET 2009 Solution View → 114

Assertion : The bob of a simple pendulum is a ball full of water, if a fine hole is made in the bottom of the ball, the time period first increases and then decreases. Reason : As

NEET 2009 Solution View → 115

Assertion : Impulsive force is large and acts for a short time. Reason : Finite change in momentum should be produced by the force.

NEET 2009 Solution View → 116

For inelastic collision between two spherical rigid bodies

JIPMER 2008 Solution View → 117

A small disc of radius 2 cm is cut from a disc of radius 6 cm . If the distance between their centres is 3.2 cm , what is the shift in the centre of mass of the disc?

JIPMER 2008 Solution View → 118

Sand is being dropped on a conveyor belt at the rate of M ~kg / s . The force necessary to keep the belt moving with a constant velocity of v ~m / s will be

NEET 2008 Solution View → 119

A shell of mass 200 ~g is ejected from a gun of mass 4 ~kg by an explosion that generates 1.05 ~kJ of energy. The initial velocity of the shell is

NEET 2008 Solution View → 120

A particle of mass m is projected with velocity v making an angle of 45^ with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentu

NEET 2008 Solution View →
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