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203_Buoyancy

203_Buoyancy - Buoyancy 9 A mass floats with a portion of...

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m Buoyancy Row 203 9. A mass floats with a portion of the mass sticking above the surface of the water. It displaces 2.0 L of water. Determine the mass of the object. F buoy = F g ! fluid gV fluid = m obj g 1000 ( ) 0.002 ( ) = m obj m obj = 2.0kg b. ! cube = m cube V cube ! cube = 5.0 ( ) 0.10 ( ) 3 = 5000kg m 3 c. F buoy = ! gV = 1000 ( ) 9.8 ( ) 0.10 " 0.10 " 0.10 ( ) = 9.8N d. F buoy + F s = F g F s = F g ! F buoy = 5.0 ( ) 9.8 ( ) ! 9.8 ( ) = 39.2 N 10. A 5.0 kg cube with 10 cm sides is suspended at equilibrium by a spring, as shown in a tank of fresh water. As a result the spring is stretched 25 cm. a. Draw the FBD for the mass. b. Determine the density of the cube. c. Determine the buoyant force. d. Determine the force that the spring exerts to keep the system at equilibrium. e. Determine the spring constant. a. e. F s = kx k = F s x = 39.2 ( ) 0.25 ( ) = 156.8N m b. x = 1 2 at 2 a = 2 x t 2 = 2 3.5 ( ) 4.6 ( ) 2 = 0.33m s 2 11. A 2.5 kg cube with 10 cm sides is released at the surface of an 25.0 m deep lake. The density of water will create significant resistance to motion. a. Draw the FBD for the mass. b. Assume the mass accelerates
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