SAMPLE: History

Title: Avast, Ye Scurvy Vector!

Background: Pirates occupy a fascinating place in Maritime history. Although distorted by myth, their story is full of intrigue and excitement. An interesting characteristic of successful pirate crews was a high level of honor and cooperation. Two American illustrators renowned for their dramatic depictions of pirate life are Howard Pyle and Frank Schoonover.

Questions:

1. a) Anne Bonny left port and sailed her ship 120 km 55⁰ before turning and sailing 70 km 80⁰ until a deserted island is reached and a mutinous pirate marooned. What is her ship's displacement (distance and direction) from its starting point? Please locate Howard Pyle's art works at: http://www.udel.edu/delart/collection.alpha.html and print Marooned.

b) A freshening wind allowed acceleration for the first 8 min after she left port. If the ship travelled 1.2 km during that time, what was its final velocity at the end of that distance?

2. A treasure ship travels 900 m 170⁰ and then 1 500 m 205⁰. A pirate ship can take what more direct route in order to try and catch up? Please print Pyle's An Attack on a Galleon.

3. a) Mary Read's ship can make 3.4 knots and she wants to cross a 1 500 m wide current flowing south at 0.6 knots. At what angle and speed must the ship be directed in order to reach a point directly ahead?

b) How long does the crossing take?

4. a) During the loading of Blackbeard's famous ship, the Revenge, a 250 N crate is slid up a 25⁰ inclined plane. If the µ is 1.7, what force must be exerted to just keep the crate moving? Please print the image of the ship at: http://www.pirates-of-nassau.com/quayside.htm

b) What will happen if four pirates exert 3 000 N against the crate?

5. What force is required to push a 400 N treasure chest down the inclined plane?

6. A 70 kg bale of cotton is left on the inclined plane. As the tide comes in, the rising ship increases the angle of the inclined plane. At what angle will the bale start sliding back down the inclined plane?

7. A 90 kg barrel of molasses is hanging from a rope slung between two uprights. The left segment of rope angles up at 35⁰ and the right angles up at 50⁰. What is the tension in each segment?

8. A 150 N platform is attached to a rope that can support a 9 000 N load. If four pirates winding up the rope on a windlass can create an acceleration of 0.7 m/s², what mass of cargo can be hoisted?

9. A bowsprit projects out beyond the bow of a ship. A supporting rope runs back up to an attachment point on the mast. If the rope angles up at 60⁰, what forces are involved in supporting a 680 N pirate lookout standing on the bowsprit? Please print Frank Schoonover's image of The Privateers of '76 found at: http://www.udel.edu/Archives/Collection/JPEG/privat76.JPEG