Project 15: Choose your own adventure
Your group is to design a problem that incorporates the three main principles the p-cubed course has focused on:
- Conservation of Energy
- Conservation of Momentum
- 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.
Good Luck!
Project 15: Indiana Jones & The Temple of the Boar Tiger
Indiana Jones is trying to steal a boar tiger idol from another dank cave. Unfortunately for him he has triggered another boulder trap and must escape with his life and the idol. The boulder of radius 2.5 meteres is sitting on top of a 4.5m incline and the trap is set into motion when a stalactite of mass of 20kg falls moving with a velocity of 31 m/s just before impact onto the 500 kg boulder and embeds perfectly into the boulder setting it in motion. At the bottom of the incline it flattens out so it is perfectly horizontal. Indiana is wearing his rubber shoes and is at the bottom of the incline about to jump onto a vine that is angled 58 degrees from the cave ceiling and reaches to the ground of the incline. The chasm Indiana needs to get across is 11.3 meters. At the otherside of the chasm is a 1.2 meter concrete platform that then runs into a ton of spikes on the wall. The platform is 7.056 meters below the jumping off point for Indiana Jones. What velocity does Indiana need to jump with and where on the vine should he jump to in order to make it across the chasm and avoid the spikes. Also does the boulder impale on the spikes before or after Indiana makes it across the chasm.