Two metal spheres, suspended by vertical cords, initially touch. The small sphere with mass m = 80 g is pulled to the left to height km = 70 cm and released from rest. After swinging down, it undergoes an elastic collision with the large sphere whose mass is m = 200 g. What is the velocity of the small and big spheres just after collision, and what is the maximum height that the large sphere can gain? Assume that spheres have negligible radii. Hint: Use conservation of momentum and energy.