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Elon Musk wants to shoot confetti out of his cannon whose radius R equals 1 m and whose angle upward relative to the ground
Elon Musk wants to shoot confetti out of his cannon whose radius R equals 1 m and whose angle upward relative to the ground equals 60. He has explosives within the cannon to generate enough pressure to propel the cylinder as described below. Note that one ton of explosives can generate one atmosphere of pressure. He has placed the confetti in a cylinder that fits snuggly in the cannon except for a thin layer of water around it of thickness = 0.01 m. That cylinder measures 30 m in length and has the equivalent specific weight of 200 times that of air at 15C. Internal friction within the cannon equals 1/10 of the shear stress the cylinder generates as it slides through the interior of the cannon. How many tons of explosives should Elon Musk use to propel the confetti so that it reaches a speed of 1,000 m/s before it leaves the cannon? (His artificial intelligence calculations tell him this is the speed necessary to spray confetti all over his guests, who are gathered together on a spot away from the cannon.) Boom! Relm 103 m/s 7 30m 0=60 Thin layer of fluid between the cylinder that carries the confetti and the interior wall of the cannon of thickness = 0.01 m 8=200+8air
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