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An Introduction to Acceleration: More Practice
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An Introduction to Acceleration: More Practice
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An Introduction to Acceleration: More Practice
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An Introduction to Acceleration: More Practice
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An Introduction to Acceleration: More Practice
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An Introduction to Acceleration: More Practice
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Gravity
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Read “Going Ballistic”
Key Points: There is gravity between all objects with mass Whenever we throw an object, it travels in a parabola If it never hit the ground, the shape would be an ellipse
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Definitions Mass Weight the amount of matter in an object
Measured in kg Weight The amount of gravitational force acting on an object Measured in N
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Newton’s Law of Gravitational Attraction
There is a force of gravity between any two objects with mass Larger distance between them, smaller force
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g = 9.8 m/s2 [down] The acceleration due to the Earth’s gravity is
The magnitude of this acceleration is denoted by the letter g.
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Do all objects fall at the same rate?
Is there anything that can affect the rate they accelerate?
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Mass doesn’t matter No matter what your mass, everything falls at the same rate if we ignore air resistance Galileo is attributed with this discovery Video
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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:
Human m/s (190 km/h) Human with parachute 5 m/s (18 km/h) Dandelion seed 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 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 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.”
There is no such thing as zero gravity, gravity acts on you everywhere in the universe
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Fg = mg Where, Fg – Force of Gravity (N) m – mass (kg)
On Earth, Fg = mg Where, Fg – Force of Gravity (N) m – mass (kg) g – Gravitational Field Strength (N/kg) or acceleration due to gravity (m/s2) g = 9.8 m/s2 [down] or 9.8 N/kg[down]
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Example: Andrew has a mass of 68 kg, what is his weight?
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What is the mass of this ________?
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Homework Gravitational field strength worksheet
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