Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Highly selective Backlog Qs for JEE MainPhysicsCenter of Mass, Momentum and Collision

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 and the second part of mass 2 ~kg moves with 8 ~ms ⁻¹ speed. If the third part flies off with 4 ~ms ⁻¹ speed, then its mass is

Options

  1. A3 ~kg
  2. B5 ~kg
  3. C7 ~kg
  4. D17 ~kg

Correct answer

B. 5 ~kg

Step-by-step solution

We have p₁+p₂+p₃=0 [ p=m v] aligned & 1 12 i+2 8 j+p₃=0 & 12 i +16 j + p ₃=0 & P ₃=-(12 i +16 j ) & p ₃= (12)^2+(16)^2 & = 144+256 & =20 ~kg - m / s aligned Now, p₃=m₃ v₃ m₃= p₃ V₃ = 20 4 =5 ~kg

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

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v₁ = 4 i m/s and v₂ = 4 j m/s respectively. The body A has acceleration a₁ = 6 i + 6 j m/s ^2 while the acceler 2026The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point ( p ) of normal bisector, as shown in the figure is _______. 2026Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown in the figure below. The masses are held at 2026The position of an object having mass 0.1 kg as a function of time t is given as r = (10t^2 i + 5t^3 j ) m. At t = 1 s, which of the following statements are correct ? A. The linea 2026A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2: 2: 3 . The two pieces of equal masses fly off perpendicular to each other 2026In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite directions with speeds of 10 ~m / s and 30 ~m / s , respec 2026Given below are two statements : Statement I : For a mechanical system of many particles total kinetic energy is the sum of kinetic energies of all the particles. Statement II : Th 2026In a scattering experiment, a particle of mass 2 m collides with another particle of mass m , which is initially at rest. Assuming the collision to be perfectly elastic, the maximu 2025 Full Center of Mass, Momentum and Collision list All Highly selective Backlog Qs for JEE Main PYQs