Maximum terminal velocity only exists because Earth has an atmosphere, which creates frictional forces on falling objects. This frictional force counterbalances the gravitational force such that the velocity of the falling object reaches a constant.
F(gravity) = mg, where m is the mass of the falling object and g is Earth's gravitational acceleration (9.8 m/s/s)
F(air friction) = -(1/2)CρAv^2, where ρ is the air density, A the cross-sectional area of the falling object, C is a numerical drag coefficient, and v is the velocity of the falling object.
Setting F(gravity) = F(air friction), we get:
v(terminal) = sqrt(2mg/CρA)
So needless to say, if there were no atmosphere and no frictional forces to counterbalance gravity, then the object will keep accelerating, and hence its terminal velocity is the velocity of the object that the point of impact with the ground. Ouch!
2006-09-19 15:18:52
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answer #1
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answered by PhysicsDude 7
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If there is no air resistance, than there is no terminal velocity. Without air resistance, you would accelerate at 9.8 meters per second per second until you hit the ground. So how fast you would be going when you hit the ground would depend only on how high you started from.
2006-09-19 15:03:14
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answer #2
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answered by kris 6
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evaluate the forces on the article. In loose fall, the forces are gravity and air resistance that exerts a rigidity tending to oppose gravity. Gravity could bring about a relentless 9.8m/s^2 acceleration on the article, yet as speed will develop, the rigidity of air resistance will develop, too. For some gadgets, there's a speed at which the two forces equivalent one yet another - the terminal speed. without rigidity appearing on the physique, it maintains to go at a relentless fee. by definition, then, there could be no terminal speed without atmospheric forces. An merchandise could proceed to enhance up until result. An merchandise with great aerodynamics will possibly no longer have a terminal speed in any respect, even in atmosphere, while some ojects pose such great air resistance that they attain terminal speed at low stages (think of parachute)
2016-10-17 07:31:51
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answer #3
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answered by ? 4
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without air resistance, terminal velocity has no meaning
2006-09-19 14:58:14
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answer #4
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answered by zrogerz69 4
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gravity acceleration g does not depend on the air resistance
2006-09-19 14:55:41
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answer #5
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answered by oracle 5
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loss of velocity due to atmosphere resistance can be calulated if datas are available .
2006-09-27 03:59:57
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answer #6
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answered by deepak57 7
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kris has the simplest, most accurate answer. Most excellent!
2006-09-24 13:59:02
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answer #7
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answered by 2Horses 2
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9.8 m/s^2
2006-09-19 14:56:26
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answer #8
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answered by sur2124 4
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