Question of Physics

Question

A block of mass of 2m comes with initial speed v0 and collides with a system of two particles connected by a spring of spring constant k perfectly inelastic on a frictionless horizontal table, each having mass of m. Find the maximum amount of the compression of the spring.

Answer 1

Kinetic Energy before Collision = 1/2 M v²

= 1/2 (2m ) v₀ ²

This get converted into potential energy of spring

PE = 1/2 K X²

Equating two

m v₀ ² = 1/2 K X²

Where X = compression of spring

Find X