please WRITE all equations used and circle final answer. draw diagrams and use equations covered in work, energy, and momentum. please show work neatly

1.a bomb at rest explodes, breaking into three pieces. Two of the pieces have equal mass and first one fly off with speed of 80 m/s to 38 NE, and second piece fly off with speed of 70.0 m/sec to 25 NW. The third pieces have two times the mass of each other piece. What are the magnitude and the direction of the third piece immediately after the explosion?(Apply conservation of momentum in two dimension)

2.a 2500 kg elevator cabin is 90.0 m above a heavy-duty spring when the cable holding the cabin breaks. The cabin hits the spring and compress the spring to 50 cm. What is the spring constant of the spring?(apply conservation of Energy)