Two masses are connected by a light string that goes over a light, frictionless pulley. The 8.5-kg mass m1 is released and falls through a vertical distance of h = 1.87 m before hitting the ground. Use conservation of mechanical energy to determine:
a) how fast the 2.1-kg mass m2 is moving just before the 8.5-kg mass hits the ground; and
b) the maximum height attained by the 2.1-kg mass.