A rocket is attached to a blob made of clay which weighs 0.270 kg. The rocket's power is 1.4 W. It applies a constant horizontal thrust for 20 s while the blob slides across a frictionless floor for a distance of 1.7 m; then the rocket shuts off. The blob slides an additional 0.2 m before colliding to and sticking to a box of mass 3.6 kg. The box is suspended from the ceiling by an ideal rope which is 2.4 m long. The combined blob+box swing up through a certain angle and then back down again.
a) How fast was the combined blob+box moving just after the collision?
b) What is the maximum angle made by the rope, as measured from the verticle?