(a) A sphere made of rubber has a density of 1.14 g/cm3 and a radius of 8.00 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 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?
(a) A sphere made of rubber has a density of 1.14 g/cm3 and a radius of 8.00 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 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?
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(b)
From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance?
Transcribed Image Text:(a) A sphere made of rubber has a density of 1.14 g/cm³ and a radius of 8.00 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)?
- **Answer:** 63 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?
- **Answer:** (Blank space for input) m
Note: The problem involves calculating the terminal speed of a rubber sphere using its density, radius, and the air's density and drag coefficient. The second part of the problem involves determining the height needed to reach this speed in a vacuum.
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