Q. An asteroid is discovered heading straight toward Earth at 13 . An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 , after which the asteroid is moving at 29 to its original path at a speed of 18. Find its average acceleration.
Q. A package of mass 9 kg sits at the equator of an airless asteroid of mass 3.0 1020 kg and radius 3.5 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 159 m/s. We have a large and powerful spring whose stiffness is 1.6 105 N/m. How much must we compress the spring?