Your group is to design a problem that incorporates the three main principles the p-cubed course has focused on:

1. Conservation of Energy
2. Conservation of Momentum
3. Conservation of Angular Momentum

Your design should include both the problem statement (storyline, just look at any of ours for details) and the solution to the problem. Imagination is a plus. You should use the four quadrants and include any appropriate sketches (including appropriate measurements and any necessary free-body diagrams). You can write it up on the sheets provided and on the white boards. Try to include a motivation within the problem for all 3 laws of conservation and not just include them randomly.

A good solution will not just be equations but will include some commentary.

We encourage you to take this opportunity to review any physics you had particular difficulty with and the tutors are here to help you consider the correctness of the physics you are trying to include in your problem.

You are being graded as per usual, and so everybody in the group should understand the physics behind the problem you are designing.

The winners of the “choose your own adventure problem” will receive the following:

• A 100% grade on the weeks problem.
• Get to act as TA's on Thursday.

Good Luck!

You, Carth Orasi, are part of the Red Squadron, a group of X-Wing star fighters serving as part of the Rebel Alliance. Admiral Ackbar has tasked your group with the destruction of the Empire's galactic super-weapon: the Death Star. In order to destroy the space station, you must overload its generator.

The generator looks like a windmill and consists of two solid rods rotating about their center with an initial angular velocity of 2,000 rad/s. Each rod as a length of 8 m and has a mass of 2,000 kg. The generator is anchored down but is free to rotate. In order to overload the generator, it must reach an angular velocity of 10,000 rad/s.

Your plan to overload the generator needs two X-Wing fighters. The first will shoot a solid, spherical bullet of mass 100 kg towards the generator. The second X-Wing fighter will shoot a proton torpedo. The torpedo is launched with a spring constant of 1.8×10$^{13}$ and has a mass of 50 kg. The bullet and torpedo collide mid-air and fly towards the generator.

How far must the X-Wing's spring be compressed and how fast must the bullet be fired on order to destroy the Death Star?

Self Assessment For this week's in-class score, you will self assess. In this, each group member should write out a summary of this week's work focusing on both individual and group contributions. In addition, you should assign yourself a score between 0 and 100, with 100 being max for each of the categories:

* Group Understanding … out of 100

* Group Focus … out of 100

* Individual Understanding … out of 100

Fall 2019 Project 14