Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Plan (concepts) Plan (math) Execute & evaluate Total Do this problem on your own

ID: 1491126 • Letter: P

Question

Plan (concepts) Plan (math) Execute & evaluate Total Do this problem on your own an d turn it in at the beginning of next Friday's mastery problem (due 4/8). As part of an interview for a summer job with the Coast Guard, you are asked to help determine the search area or two sunken ships by calculating their velocity just after they collided. According to the last radio transmission from the 50,000-ton cruise ship, the Hangover, it was going due west at a speed of 20 knots in calm seas through the fog just before it was struck broadside by the 70,000-ton ore freighter, the Ironhorse, which was traveling north at 10 knots. The transmission also noted that when the freighter's bow pierced the hull of the liner, the two ships stuck together and sank together Your answer must be organized, clear, and complete. See the mastery problem rubric for a reminder of what should be included for a perfect score.

Explanation / Answer

conserving momentum along west direction

50000 x 20 = (50000+70000) Vw

Vw = 8.3 knots

conserving momentum along north direction

70000x10 = (12000) Vn

Vn = 5.833 knots

V = sqrt ( Vw^2 Vn^2)

V = 10.1448 knots