Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20198 Apr 2019Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A body of mass m 1 moving with an unknown velocity of v 1 i ^ , undergoes a collinear collision with a body of mass m 2 moving with a velocity v 2 i ^ . After the collision, m 1 and m 2 move with velocities of v 3 i ^ and v 4 i ^ , respectively. If m 2 = 0.5 m 1 and v 3 = 0.5 v 1 , then v 1 is:

Options

  1. Av 4 - v 2 4
  2. Bv 4 - v 2 2
  3. Cv 4 + v 2
  4. Dv 4 - v 2

Correct answer

D. v 4 - v 2

Step-by-step solution

From the conservation of linear momentum, m 1 v 1 + m 2 v 2 = m 1 v 3 + m 2 v 4 m 1 v 1 + 0.5   m 1   v 2 = m 1 0.5   v 1 + 0.5   m 1   v 4 0.5   v 1 + 0 . 5   v 2 = 0.5   v 4 v 4 = v 1 + v 2 v 1 = v 4 - v 2

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 JEE Main PYQs