(a) A sphere made of rubber has a density of 1.18 g/cm³ and a radius of 9.00 cm. It falls through air of density 1.20 kg/m³ and has a drag coefficient of 0.500. What is its terminal speed (in m/s)? 63.8 X At terminal speed, what is the acceleration? How are the weight and drag force related? How is drag related to speed, air density, and cross sectional area? Watch units when doing calculations with densities. m/s (b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance? m

University Physics Volume 1
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Chapter14: Fluid Mechanics
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Problem 91P: (a) Calculate the retarding force due to viscosity of the air layer between a cart and a level air...
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(a) A sphere made of rubber has a density of 1.18 g/cm³ and a radius of 9.00 cm. It falls through air of density 1.20 kg/m³ and has a drag coefficient of 0.500.
What is its terminal speed (in m/s)?
63.8
At terminal speed, what is the acceleration? How are the weight and drag force related? How is drag related to speed, air density, and cross sectional area?
Watch units when doing calculations with densities. m/s
(b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance?
m
Transcribed Image Text:(a) A sphere made of rubber has a density of 1.18 g/cm³ and a radius of 9.00 cm. It falls through air of density 1.20 kg/m³ and has a drag coefficient of 0.500. What is its terminal speed (in m/s)? 63.8 At terminal speed, what is the acceleration? How are the weight and drag force related? How is drag related to speed, air density, and cross sectional area? Watch units when doing calculations with densities. m/s (b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance? m
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