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There’s an old trick to dry lettuce that involves putting lettuce into a pillowcaseand spinning it...

There’s an old trick to dry lettuce that involves putting lettuce into a pillowcaseand spinning it around one’s head in a horizontal circle. Remy has put a headof lettuce with a mass of 450 grams into a pillowcase 32 inches long, and spins itaround his head such that it moves in a circle at constant speed. Let’s simplifythe situation by treating the lettuce as a point mass and assuming the mass ofthe pillowcase and water is negligible.1. Draw a free body diagram for the head of lettuce.2. The lettuce/pillowcase makes 1 rotation in 1 second. What angle does thepillowcase make with the vertical?3. Would it be possible for the pillowcase to make a perfect 90◦angle withthe vertical? Explain your reasoning.

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