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An Introduction to Acceleration: More Practice
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Gravity and Free-Fall: Student Learning Goals Students will conduct an inquiry to measure gravitational acceleration, and calculate the percentage error of their experimental value (B2.3, B2.10)
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Gravity and Free-Fall SPH4C
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g The acceleration due to the Earth’s gravity is 9.8 m/s 2 [down]. The magnitude of this acceleration is denoted by the letter g.
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Up, then Down An object feels this acceleration when travelling up (when it slows them down) and when travelling down (when it speeds them up).
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Mass doesn’t matter Note that all objects, regardless of mass, experience the same acceleration.
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Galileo This discovery is attributed to Galileo. http://www.youtube.com/watch?v=5C5_dOE yAfk
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Drag However, some objects are slowed by atmospheric drag more than others.
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Terminal velocity At a given speed, the drag will equal the gravity, and the object will stop accelerating, i.e. reach “terminal velocity.”
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Terminal velocities Typical terminal velocities: Human53 m/s (190 km/h) Human with parachute5 m/s (18 km/h) Dandelion seed0.5 m/s (1.8 km/h)
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The fastest man On August 16th, 1960 U.S. Air Force Captain Joe Kittinger broke the sound barrier (1240 km/h) during a free-fall from the high altitude balloon Excelsior III, at an altitude of approximately 31 km.
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Highest fall survived (without a parachute) Flight attendant Vesna Vulovič fell 10,000 m on January 26, 1972 when she was aboard a plane that was brought down by explosives over the Czech Republic. She suffered a broken skull, three broken vertebrae (one crushed completely), and was in a coma for 27 days, but she survived!
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g’s Accelerations are often given in terms of g. For example,
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Blackout A typical person can handle about 5 g before loss of consciousness, “blackout,” occurs. The record for the most g forces on a roller coaster belongs to Mindbender at Galaxyland Amusement Park in Edmonton, Alberta, at 5.2 g.
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Greyout Through the combination of special g- suits and efforts to strain muscles — both of force blood back into the brain— modern pilots can typically handle 9 g or more. They may experience a “greyout” (temporary loss of colour vision, tunnel vision, or an inability to interpret verbal commands) between 6 and 9 g.
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Negative g’s Resistance to "negative" or upward g’s, which drive blood to the head, is much less (typically in the -2 to -3 g range). During “redout,” vision goes red, probably due to capillaries in the eyes bursting under the increased blood pressure.
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“g -Force ” Acceleration perpendicular to the spine is more tolerable. Acceleration pushing the body backwards (“eyeballs in”) is tolerable up to 17g, and pushing the body forwards (“eyeballs out”) up to 12g.
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Strongest g-forces survived Voluntarily: Colonel John Stapp in 1954 sustained 46.2 g in a rocket sled, while conducting research on the effects of human deceleration
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Strongest g-forces survived Involuntarily: Formula One racing car driver David Purley survived an estimated 178 g in 1977 when he decelerated from 173 km/h to 0 in a distance of 66 cm after his throttle got stuck wide open and he hit a wall
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Everyday g-forces Coughing: 3.5 g Sneezing: 2.9 g
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Free fall Objects in free-fall feel 0 g, or “weightlessness.”
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