Buoyancy & Buoyant Force Video Lessons

Concept

# Problem: Three balls with the same volume 1.0 × 10-6 m3 are in m open tank of water that has a density (ρ) equal to 1.0 × 103 kg/m3. The balls are in the water at different levels. Ball 1 floats in water with a part of it above the surface, ball 2 is completely submerged in the water, and ball 3 rests on the bottom of the tank Any movement of the water obeys Bernoulli's equation:, where P1 and P2 are the pressures at elevations y1 and y2, and v1 and v2 are the speed of the water. (Note: Unless otherwise noted, the water and the balls are stationary). Assume that the density of ball 1 is 8.0 × 102 kg/m3. Ignoring atmospheric pressure, what fraction of ball 1 is above the surface of the water?A. 5/4B. 3/4C. 1/4D. 1/5

###### FREE Expert Solution

Density is expressed as:

$\overline{){\mathbf{\rho }}{\mathbf{=}}\frac{\mathbf{m}}{\mathbf{V}}}$'

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###### Problem Details

Three balls with the same volume 1.0 × 10-6 m3 are in m open tank of water that has a density (ρ) equal to 1.0 × 103 kg/m3. The balls are in the water at different levels. Ball 1 floats in water with a part of it above the surface, ball 2 is completely submerged in the water, and ball 3 rests on the bottom of the tank Any movement of the water obeys Bernoulli's equation:

, where P1 and P2 are the pressures at elevations y1 and y2, and v1 and v2 are the speed of the water. (Note: Unless otherwise noted, the water and the balls are stationary).

Assume that the density of ball 1 is 8.0 × 102 kg/m3. Ignoring atmospheric pressure, what fraction of ball 1 is above the surface of the water?

A. 5/4

B. 3/4

C. 1/4

D. 1/5

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