A new Dutchman Day activity allows people to leap from the top of the Humanities building onto a giant pillow on the ground below. The distance between the top of the Humanities building and the top of the pillow is 11.2 m. The giant pillow compresses 1.14 m as it brings a 95.8-kg person to rest. Find the magnitude of the force (in N) exerted by the giant pillow on the person. You may assume this force is constant during the time that the person is in contact with the pillow. (Hints: Draw a free body diagram for a person in the air, after leaving the top of the Humanities building, before hitting the giant pillow. Indicate all of the vertical forces that act on the person. You may ignore air resistance. Find out the velocity of the person just before he hits the pillow. Then, draw a free body diagram for a person in c

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A new Dutchman Day activity allows people to leap from the top of the Humanities building onto a giant pillow on the ground below. The distance between the top of the Humanities building and the top of the pillow is 11.2 m. The giant pillow compresses 1.14 m as it brings a 95.8-kg person to rest. Find the magnitude of the force (in N) exerted by the giant pillow on the person. You may assume this force is constant during the time that the person is in contact with the pillow. (Hints: Draw a free body diagram for a person in the air, after leaving the top of the Humanities building, before hitting the giant pillow. Indicate all of the vertical forces that act on the person. You may ignore air resistance. Find out the velocity of the person just before he hits the pillow. Then, draw a free body diagram for a person in contact with the giant pillow. Indicate all of the vertical forces that act on the person. You may again ignore air resistance.)
 
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