Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

Three 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 . 0 cm , as shown in the figure. The centre of mass of the system is

Options

  1. A0 . 6 cm right and 2 . 0 cm above 1 kg mass
  2. B2 . 0 cm right and 0 . 9 cm above 1 kg mass
  3. C0 . 9 cm right and 2 . 0 cm above 1 kg mass
  4. D1 . 5 cm right and 1 . 2 cm above 1 kg mass

Correct answer

C. 0 . 9 cm right and 2 . 0 cm above 1 kg mass

Step-by-step solution

Let us assume that the origin of the coordinate system is at the location of 1 kg mass, then x cm = 1 × 0 + 1 . 5 × 3 + 2 . 5 × 0 5 = 0 . 9   cm y cm = 1 × 0 + 1 . 5 × 0 + 2 . 5 × 4 5 = 2   cm

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 NTA Abhyas JEE Main PYQs