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ANSWER ALL QUESTIONS PLZ We're gonna need a bigger boat On March 23, 2021, BeatyMeBeatFaee the Ever Given became wedged diagonally across the Suez Canal,

ANSWER ALL QUESTIONS PLZ

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We're gonna need a bigger boat On March 23, 2021, BeatyMeBeatFaee the Ever Given became wedged diagonally across the Suez Canal, creating shipping delays and wreaking havoc with global trade. In this problem, we'll model the mighty little tugboat that can usually pull a ship like this, provided it's not run aground. Here's a sketch (not to scale): barge NOTE: I've chosen realistic quantities for this question, and some of the values are quite close to each other. Enter your answers to 0.1% precision instead of the usual 1%. a) A tugboat's engine can apply 49 tons of force. They typically stay 330 m in front of the barge they're pulling, which can be 29 m taller than they are. If the tugboat is moving at a constant speed, what is the tension in the tow line? Ignore viscous drag of the tugboat (its friction with the water). tons b) What is that force in N? N U c) What is the drag force being experienced by the barge being towed? N H d) Tugboats typically stay so far in front because boats don't have brakes! There's also a tension reason for this: tow lines attached at shallow angles experience A LOT of force. Even if the line doesn't snap, it can melt from the pressure at the connection points. If this happens when there's about 101 tons of force on the line, at what angle is the towline? 0 H e) What distance would the tugboat be when this happens? m U

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