Answer to Question #221353 in Physics for Qvbideal

Question

Two blocks moves on a horizontal,frictionless surface and are attached to spring as shown .The block has mass m and spring constant k .The Right block has mass 2m and spring constant 2k .The masses just touch each other at X=0 at which point both spring are at equilibrium (i.e un compressed).The left mass is pulled to the left a distance

Answer 1

$$f_1=\frac{1}{2\pi}\sqrt{\frac{k}{m}}\\ f_2=\frac{1}{2\pi}\sqrt{\frac{2k}{2m}}=\frac{1}{2\pi}\sqrt{\frac{k}{m}}=f_1$$