Centre of Mass & Linear Momentum — JEE Main PYQs & Practice Questions

Centre of Mass & Linear Momentum is a Physics chapter in the JEE Main syllabus. This page brings together 57 previous-year and practice questions on Centre of Mass & Linear Momentum, organised into 4 topics: Centre of Mass, Conservation of Linear Momentum, Impulse-Momentum Theorem and Rocket Propulsion. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Centre of Mass & Linear Momentum JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Centre of Mass

• Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which…
• In a system two particles of masses m₁=3 kg and m₂=2 kg are placed at certain distance…
• Two blocks of masses 10 kg and 30 kg are placed on the same straight line with…
• The center of mass of a thin rectangular plate (fig - x ) with sides of length a and b…
• Given below are two statements : Statement I : For a mechanical system of many particles…
• Consider a circular disc of radius 20 cm with centre located at the origin. A circular…
• Two identical bodies A and B of equal masses have initial velocities v₁⃗=4î m/s and…
• A circular hole of radius ( a/2 ) is cut out of a circular disc of radius 'a' as shown…
• The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat…
• The position of center of mass of three masses 2 kg,3 kg and 15 kg placed with respect…
• The disc of mass M with uniform surface mass density σ is shown in the figure. The…
• A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10…
• Two masses 1 kg and 3 kg are placed 4 m apart. The distance (in m) of the centre of mass…
• A body of mass 14 kg initially at rest explodes and breaks into three fragments of…
• The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of…
• Three identical spheres each of mass M are placed at the corners of a right angled…
• Two point masses 2 kg and 3 kg are placed at x = 0 and x = 5 m respectively. The…
• Three identical spheres each of mass 2 M are placed at the corners of a right angled…
• A rod of length L has non-uniform linear mass density given by ρ(x) = a + b( x/L )²…
• Two bodies of mass 1 kg and 3 kg have position vectors î+2 ĵ+k̂ and -3 î-2 ĵ+k̂…

Conservation of Linear Momentum

• A body of mass 1000 kg is moving horizontally with a velocity 6 m / s. If 200 kg extra…
• A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two…
• A nucleus disintegrates into two smaller parts, which have their velocities in the ratio…
• A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio…
• Two particles having masses 4 g and 16 g respectively are moving with equal kinetic…
• Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg…
• A stationary particle breaks into two parts of masses m_A and m_B which move with…
• Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear…
• Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of…
• A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute…
• A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2…
• An artillery piece of mass M₁ fires a shell of mass M₂ horizontally. Instantaneously…
• A block moving horizontally on a smooth surface with a speed of 40 ms⁻¹ splits into two…
• A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of…

Impulse-Momentum Theorem

• The figure represents the momentum time (p-t) curve for a particle moving along an axis…
• A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the…
• An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g…
• In two different experiments, an object of mass 5 kg moving with a speed of 25 ms⁻¹ hits…
• 100 balls each of mass m moving with speed v simultaneously strike a wall normally and…
• A spherical body of mass 100 g is dropped from a height of 10 m from the ground. After…
• A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms⁻¹ and bounces back…
• A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler…
• A bullet of 10 g leaves the barrel of gun with a velocity of 600 m / s. If the barrel of…
• Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as…
• A cricket player catches a ball of mass 120 g moving with 25 m / s speed. If the…
• Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest…

Rocket Propulsion

• The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should be burnt…
• A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate…
• A spaceship in space sweeps stationary interplanetary dust. As a result, its mass…

More Physics chapters

• Basic Mathematics for Physics
• Units, Dimensions & Errors
• Rectilinear Motion
• Vectors
• Projectile Motion & Relative Motion
• Newton's Laws of Motion
• Friction
• Circular Motion
• Work, Energy & Power
• Collision
• Rotational Motion
• Gravitation
• Simple Harmonic Motion
• Elasticity
• Fluid Mechanics
• Surface Tension
• Thermometry & Calorimetry
• Kinetic Theory of Gases
• Thermodynamics
• Heat Transfer
• Mechanical Waves
• Sound Waves
• Experimental Skills
• Electrostatics I — Charges, Field & Gauss's Law
• Electrostatics II — Potential & Capacitance
• Current Electricity
• Moving Charges & Magnetism
• Magnetism & Matter
• Electromagnetic Induction
• Alternating Current
• Electromagnetic Waves
• Ray Optics
• Wave Optics
• Dual Nature of Radiation & Matter
• Atomic Physics
• Nuclear Physics
• Semiconductors & Electronic Devices
• Communication Systems

Frequently asked questions

How many Centre of Mass & Linear Momentum questions are there for JEE Main?

PrepWiser has 57 Centre of Mass & Linear Momentum questions for JEE Main, grouped into 4 topics such as Centre of Mass, Conservation of Linear Momentum and Impulse-Momentum Theorem.

Are these Centre of Mass & Linear Momentum questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Centre of Mass & Linear Momentum questions?

Open any Centre of Mass & Linear Momentum question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.