Calculate the net force acting on a sphere with a radius of 30cm and a density of 0.1g/cm³ if it is completely submerged in water (density = 1g/cm³). Be sure to give both the magnitude and direction. Assume this occurs on Earth. Show your work using the equation editor or the symbols +-*/=.
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The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \] where \( r \) is the radius of the sphere. Given \( r = 30 \) cm, we have: \[ V = \frac{4}{3} \pi (30)^3 = \frac{4}{3} \pi (27000) = 36000 \pi \, \text{cm}^3 \] Show more…
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An small sphere made of metal was placed in water ($ ho=1000 kg/m^3$). If the radius of the sphere was 2.67 cm and the density was 7,369 kg/m3, determine the buoyant force acting on the sphere. (sphere volume is $frac{4}{3}pi r^3$ and g = 9.80 m/s2)
An small sphere made of metal was placed in water (ρ = 1000 kg/m3). If the radius of the sphere was 2.67 cm and the density was 7,369 kg/m3, determine the buoyant force acting on the sphere. (sphere volume is 4/3πr3 and g = 9.80 m/s2)
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