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A piece of string is connected between two adjacent houses to form a clothesline. The houses are separated by d = 22 m, and

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A piece of string is connected between two adjacent houses to form a clothesline. The houses are separated by d = 22 m, and both ends of the string are the same height off the ground. A sweater is hung on the clothesline near one of the houses so that the string forms two segments that meet at a right angle. The shorter segment of string has length L = 1.6 m and - tension T = 36 N. What is the mass m of the sweater? For the limit check, investigate what happens to m if the tension in the shorter segment becomes extremely small (70). while everything else remains the same. (Hint: you'll need. to introduce an angle into the diagram that allows you to describe the direction of the rope segments. But you should be able to immediately rewrite sin and cos in terms of the given lengths.) Representation Physics Concept(s) (Refer to the list posted on Carmen) (1) Representation: Physics Concept(s): Initial Equation(s): Symbolic Answer: Units Check: Limits Check: Neatness:: Total: Correct Answer: 0 1 2 0 1 2 0 0.5 1 0 1 1 0 0.5 0 0.5 -2 -1 0 1 4 Show Your Equation Work On Next Page Y N Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As T0, what limit does m approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

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