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Archimede's Principle Problems (1)

Archimede's Principle Problems (1) - h =1.7 x10-1 kg/m 3...

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Name__________________________________ Archimede’s Principle 1) A raft is constructed of wood having a density of 600 kg/m 3 . Its surface area is 5.7 m 2 and its volume is 0.60 m 3 . When the raft is placed in fresh water of density 1.0 x 10 3 kg/m 3 to what depth does the raft sink in the water? 2) A spherical helium balloon of radius 0.15 meters is released into the atmosphere. Determine the acceleration of the balloon if the density of helium is 1.79 x 10 -1 kg/m 3 , the density of air is 1.29 kg/m 3 , and the empty balloon has a mass of 0.012 kg. (assume there is no resistive force acting on the balloon)
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3) A basketball filled with air is released from the bottom of a 3 meter deep pool w =1000 kg/m 3 ). The mass of the basketball filled with air is 0.660 kg and the radius is 0.17 meters. Determine the time it takes for the ball to reach the surface of the pool. 4) A hollow sphere of mass 0.01 kilograms is filled with helium (ρ
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Unformatted text preview: h =1.7 x10-1 kg/m 3 ). The sphere is then tied to the bottom of a pool of fresh water (ρ w =1000 kg/m 3 ) by a string. Determine the tension in the string if the radius of sphere is 0.10 meters. 5) A solid foam ball (ρ= 100 kg/m 3 ) of radius 0.15 meters is dropped from a height of 3 meters above the surface of a pool (ρ= 1000 kg/m 3 ). Neglecting air resistance and any fringe effects(as the ball enters the pool) determine: (a) the acceleration of the ball while its in the air (density of air = 1.29 kg/m 3 ) (b) the velocity of the ball just before it hits the water (c) the acceleration of the ball while it is in the water (d) the depth to which the ball goes before stopping 6) A block of wood of mass 30 kg is floating in a pond of density 1000 kg/m 3 such that half of the block is submerged. Determine the density of the object....
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