Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2014PhysicsCenter of Mass, Momentum and CollisionActual

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 . The total kinetic energy generated due to explosion is:

Options

  1. Am υ 2
  2. B3 2 m υ 2
  3. C2 m υ 2
  4. D4 m υ 2

Correct answer

B. 3 2 m υ 2

Step-by-step solution

The total momentum of the system will be conserved before and after explosion. Then, p i = p f O = m v i ^ + m v j ^ + 2 m v → v → = - v 2 i ^ - v 2 j ^ v → = v 2 Total kinetic energy generated due to explosion is K E = v 2 m v 2 + v 2 m v 2 + v 2 2 m v 2 2 = m v 2 + m v 2 2 = 3 2 m v 2

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