Avengers Training:

The Avengers are trying to get prepared for their next possible battle by having a group workout session. However, they want to spice-up their routine up, so they have asked your team to help add new workouts. They want to create workouts that result in them doing the maximum work possible in each case.

The hulk wants to include another leg workout, so you decide to add a sled pull. He is not sure what object he should pull but knows he wants to reach at least a football fields length with it. Design the leg pull exercise and account for the amount of work it takes to complete the exercise.

Captain America tells you he really wants to burn some calories at an incline and the friction adds an extra challenge. He points at the really steep road down the street and says “Do you think I could push a truck up that hill?”. The incline is a full city block angled at about 30 degrees. Design the incline based exercise and account for the amount of work it takes to complete the exercise.

Lastly, Spider-man tells you he wants to add a new full-body workout using his web-shooting abilities. Spiders silk acts like stiff spring with a coefficient of 2000 N/m. He tells you he can hop from building to building pretty quick, his plan is to swing from building to building for 3 different buildings of 3 different heights starting with the lowest height building first and ending with the highest. Design the work out and account for the amount of work \underline{Spider-man does} during process of getting to the top of each building.

Design the three new workouts for these superheroes using what you have learned in class the last few weeks. Tony Stark wants all the physics worked out to see if you live up to what the others have said about your skills and he wants an overall work calculation for the maximum work completed carrying out the workouts.

A good solution is not just equations and numeric predictions, but will include commentary and discussion of those equations and predictions and reflections on what those predictions mean. We encourage you to use the simplest model that correctly captures the essential physics.