Halliday, Resnick & Walker — Oscillations: Problem Problem_22

Figure 15.15 shows block 1 of mass \(0.200\text{ kg}\) sliding to the right over a frictionless elevated surface at a speed of \(8.00\text{ m/s}\). The block undergoes an elastic collision with stationary block 2, which is attached to a spring of spring constant \(1208.5\text{ N/m}\). (Assume that the spring does not affect the collision.) After the collision, block 2 oscillates in SHM with a period of \(0.140\text{ s}\), and block 1 slides off the opposite end of the elevated surface, landing a distance \(d\) from the base of that surface after falling height \(h = 4.90\text{ m}\). What is the value of \(d\)?