A rocket is joined to a blob made of clay which weighs 0.270 kg. The power of rocket is 1.4 W. It applies a constant horizontal thrust for 20 s while the blob slides across the frictionless floor for a distance of 1.7 m; then the rocket shuts off. The blob slides an extra 0.2 m before colliding to and sticking to a box of mass 3.6 kg. The box is hanging from the ceiling by an ideal rope which is 2.4 m long. The combined blob + box swing up via a certain angle and then back down again.
i) Determine how fast was the combined blob plus box moving just subsequent to the collision?
ii) What is the greatest angle made by the rope, as measured from the vertical?