# Hi, I have a Physics’ problem which I would like to have it solved. Could you please help me out?The

**Hi, I have a Physics’ problem which I would like to have it solved. Could you please help me out?**

The

problem is: **A pair of blocks (mass m and 4m) are separated by a spring (constant k, compression distance d) as they rest upon a level surface. When the spring expands, the blocks move apart. The ‘4m’ block collides with a block (5m) connected to a spring (constant 6k) to form system A, while the ‘m’ block collides with a block (2m) connected to a spring (constant 3k) and forms system B. Both collisions are perfectly inelastic and both systems subsequently display simple harmonic motion.**

**a) Calculate the ratio of the periods of oscillation, T****A****/T****B.**** Simplify your result.**

**b) Calculate the ratio of the oscillation amplitudes, A****A****/A****B****. Simplify your result.**

**c) Calculate the ratio of the sum of the system energies to the initial energy stored in the****spring of the ‘exploding’ blocks, (E****A****+E****B****)/[0.5(kd****2****)]. Simplify your result. **