Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2012PhysicsCenter of Mass, Momentum and CollisionActual

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

Options

  1. A40 ~cm
  2. B45 ~cm
  3. C50 ~cm
  4. D30 ~cm

Correct answer

A. 40 ~cm

Step-by-step solution

aligned x_ CM & = m₁ x₁+m₂ x₂+m₃ x₃ m₁+m₂+m₃ & = 300(0)+500(40)+400(70) 300+500+400 & = 20000+28000 1200 & = 48000 1200 & =40 ~cm aligned

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

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 2026Bob 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 2026A 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 2025Two 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 2024Two 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 2023A 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 2023A bullet of mass m hits a block of mass M elastically. The transfer of energy is the maximum, when 2023A 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 2022 Full Center of Mass, Momentum and Collision list All NEET PYQs