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Physics - Center of Mass Momentum and Collision

Practise 105 NTA Abhyas (JEE Main) questions on Center of Mass Momentum and Collision. Each question shows a quick preview so you can jump straight to the topic you want to revise.

Center of Mass Momentum and Collision has been asked in 0 of the 25 years of NTA Abhyas (JEE Main) papers analysed (2002–2026), with 105 questions in all. 100% of them were easy, 0% moderate and 0% tough. Most of its questions came from 2026, with 0 questions that year. In the last three years (2024–2026) it had 0 questions across 49 papers, about 0 per paper.

All of the chapter's questions come from a single topic, Uncategorized.

  1. 1A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly chan
  2. 2Consider a horizontal surface moving vertically upward with velocity 2 m s - 1 . A small ball of mass 2 kg is moving with velocity 2 i ^ – 2
  3. 3A small smooth disc of mass m and radius r moving with an initial velocity v along the positive x -axis collided with a big disc of mass 2 m
  4. 4The coefficient of restitution between a snooker ball and the side cushion is 1 3 . If the ball hits the cushion and then rebounds at right
  5. 5From a uniform solid cone of base radius R and height H , a symmetric cone of the base radius R 2 is removed as shown. Then the centre of ma
  6. 6Two blocks A and B of masses 3 k g and 6 k g are connected by a massless spring of force constant 1800 N m - 1 and then they are placed on a
  7. 7After a perfectly inelastic collision between two identical particles moving with the same speed in different directions, the speed of the p
  8. 8A body of mass m moving with velocity v collides head-on elastically with another body of mass 2 m which is initially at rest. The ratio of
  9. 9A ball of mass m 1 is moving with velocity 3 v . It collides head on elastically with a stationary ball of mass m 2 . The velocity of both t
  10. 10Three point masses 1 . 0 kg , 1 . 5 kg and 2 . 5 kg are placed at the vertices of a right-angle triangle of sides 4 . 0 cm , 3 . 0 cm and 5
  11. 11In the diagram shown, no friction at any contact surface. Initially, the spring has no deformation. What will be the maximum deformation in
  12. 12A neutron collides elastically with the stationary nucleus of an atom of mass number A . If the collision is perfectly elastic, then after t
  13. 13A thin bar of length L has a mass per unit length λ , that increases linearly with distance from one end. If its total mass is M and its mas
  14. 14The masses of five balls at rest and lying at equal distances in a straight line are in geometrical progression with ratio 2 and their coeff
  15. 15Two massless string of length 5 m hang from the ceiling very near to each other as shown in the figure. Two balls A and B of masses 0 . 25 k
  16. 16Three identical balls are connected by light inextensible strings with each other as shown and placed over a smooth horizontal table. Length
  17. 17A 500 g ball is released from a height of 4 m . Each time it makes contact with the ground, it loses 25 % of its kinetic energy. Find the ki
  18. 18Two particles of masses m and 3 m approach each other with different velocities. After collision, the particle of mass m has velocity v → in
  19. 19A tennis ball with (small) mass m 2 , sits on the top of a basketball with (large) mass m 1 . The bottom of the basketball is at a height h
  20. 20If linear density of a rod of length 3 m varies as =2+ x , then the position of the centre of gravity of the rod is
  21. 21A particle of mass 2 kg moving with a speed of 6 m/s collides elastically with another particle of mass 4 kg traveling in same direction wit
  22. 22Two blocks A and B of masses m and 2 m respectively, attached at opposite ends of a spring of constant K , placed on a smooth horizontal sur
  23. 23A ball starts falling under the effect of gravitational force from a height of 45 m . When it reaches a height of 25 m it explodes into two
  24. 24Two particles of masses 2 kg and 3 kg are projected horizontally in opposite directions from the top of a tower of height 39 . 2 m with velo
  25. 25A smooth sphere is moving on a horizontal surface with a velocity vector 2 i ^ + 2 j ^ m s - 1 immediately before it hits a vertical wall. T
  26. 26A gun (mass = M ) fires a bullet (mass = m ) with speed V r relative to the barrel of the gun which is inclined at an angle of 60 ° with hor
  27. 27A uniform thin rod AB of length L has linear mass density μ x = a + b x L , where x is measured from A. If the CM of the rod lies at a dista
  28. 28Two bodies of the same mass are connected with an inelastic string of length l are placed together on a horizontal surface. One of them is p
  29. 29A bullet is fired from a gun. The force on the bullet is given by F = 600 − 2 × 10 5 t , where F is in newton and t is in seconds. If the fo
  30. 30Two point masses connected by an ideal string are placed on a smooth horizontal surface as shown in the diagram. A sharp impulse of 10 k g m
  31. 31A body of mass 2 m moving with velocity v makes a head-on elastic collision with another body of mass m which is initially at rest. Loss of
  32. 32Two blocks A and B of equal mass are released on two sides of a fixed wedge C as shown in the figure. Find the acceleration of the centre of
  33. 33Particles of masses m , 2 m , 3 m , … . , n m are placed on the same line at distance L , 2 L , 3 L , . . n L from O . The distance of centr
  34. 34A ball falls freely from a height of 45 m . When the ball is at a height of 25 m , it explodes into two equal pieces. One of them acquires a
  35. 35A space-ship travelling in the interstellar medium is picking up dust at a rate d M d t = α v , where α is a positive constant, v is the ins
  36. 36A 12 kg bomb at rest explodes into two pieces of 4 kg and 8 kg . If the momentum of 4 kg piece is 20 Ns , the kinetic energy of the 8 kg pie
  37. 37A ball is dropped from a height h on a floor. The coefficient of restitution for the collision between the ball and the floor is e . The tot
  38. 38Two masses m and M ( m ) are joined by a light string passing over a smooth light pulley. The centre of mass of the system moves with an acc
  39. 39A hemispherical cavity of radius R is created in a solid sphere of radius 2 R as shown in the figure. The y -coordinate of the centre of mas
  40. 40The simple pendulum A of mass m A and length l is suspended from the trolley B of mass m B . If the system is released from rest at θ = 0 ,
  41. 41There is a thin uniform disc of radius R and mass per unit area σ , in which a hole of radius R / 2 has been cut out as shown in the figure.
  42. 42Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the tw
  43. 43Two particles A and B each of mass m are attached by a light inextensible string of length 2 l . The whole system lies on a smooth horizonta
  44. 44Two identical spheres, each of mass m are suspended by vertical strings such that they are in contact with their centres at the same level.
  45. 45A radioactive nucleus at rest having mass number A , emits an alpha-particle with speed v . The recoil speed of the daughter nucleus is
  46. 46A machine gun fires a bullet of mass 40 g with a velocity 1200 m s - 1 . The man holding it can exert a maximum force of 144 N on the gun. T
  47. 47A ball of mass m moving with velocity v strikes the bob of a pendulum at rest. The mass of the bob is also m . If the collision is perfectly
  48. 48A ball is dropped from height 5 m . What is the time (in seconds) after which ball stops rebounding if the coefficient of restitution betwee
  49. 49A system of two identical, uniform discs with identical circular cavities, is shown in the figure. Different relevant coordinates are given
  50. 50A body A of mass m = 0.1 k g has an initial velocity of 3 i ^ m s - 1 . It collides elastically with another body B of the same mass which h

Frequently Asked Questions

1.How many questions are available for Center of Mass Momentum and Collision?

This chapter includes 105 NTA Abhyas (JEE Main) questions.

2.Are these questions only from NTA Abhyas (JEE Main), or from other exams too?

These are NTA Abhyas (JEE Main) questions specifically for the Center of Mass Momentum and Collision chapter. Questions from other exams like JEE Main or JEE Advanced are organised separately under their respective exam sections.

3.What is the difficulty level of Center of Mass Momentum and Collision questions in NTA Abhyas (JEE Main)?

Of the 105 questions analysed for this chapter, 100% are easy, 0% moderate and 0% tough. 2026 had the most, with 0 questions.

4.Which topics in Center of Mass Momentum and Collision should I focus on?

All of this chapter's questions come from a single topic: Uncategorized.