A body of mass 1 kg falls freely from a height of 100 m, on a platform of mass 3 kg which is mounted on a spring having spring constant k = 1.25 × 106 N/m. The body sticks to the platform and the spring's maximum compression is found to be x. Given that g = 10 ms–2, the value of x will be close to :
(1) 2 cm
(2) 40 cm
(3) 80 cm
(4) 8 cm