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United States47024 Posts
On October 23 2008 08:41 Elvin_vn wrote:Show nested quote +On October 23 2008 08:06 travis wrote: here is my question.
2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? same shape + surface + size ==> same resistance ==> they will accelerate at the same rate
Read micronesia's explanation (I told you he'd have a better one).
Same force =/= same acceleration.
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On October 23 2008 08:33 TheYango wrote:Show nested quote +On October 23 2008 08:27 travis wrote: ok wait what? if in a vacuum they would accelerate at the same rate why would their rates of acceleration change when both subjected to an equal drag force ? Gah, I'll try to be clearer. Suppose at some time t, the two objects have the same velocity, and therefore, the same drag force. Since the drag FORCE is the same, we'll call it f. The equations for Newton's 2nd law would be m1a1 = m1g - f a1 = g - f/m1 m2a2 = m2g - f a2 = g - f/m2
ahh god i hate looking at this stuff.
ummm so, i thought drag force was the opposing force to gravity, here. but it's actually the opposing force to the force of the object? god this shit is confusing me.
Where a1 and a2 are the accelerations for objects 1 and 2, g is acceleration due to gravity, and m1 and m2 are their masses.Unless m1 and m2 are equal, those accelerations CANNOT be equal, which means the acceleration functions must be different. An equal change in force does not mean an equal change in acceleration. It only is so for cases in which the force is proportional to the mass (as with the force of gravity).
i am just so confused now, LOL
terminal velocity determines acceleration?
The time when you reach terminal velocity corresponds to a point on your acceleration function where a = 0. If a = 0 at different times for the two acceleration curves, doesn't that imply that the two curves must be different?[/QUOTE]
I assumed the rate of acceleration was constant, and at terminal velocity, acceleration stopped.
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United States47024 Posts
Read micronesia's explanation, its much clearer than mine.
Acceleration isn't constant when there's air drag, but reduces over time to zero. Since it reaches zero at different times, it has to get there at different rates.
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3 Lions
United States3705 Posts
On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns.
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United States24488 Posts
On October 23 2008 08:50 3 Lions wrote:Show nested quote +On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not.
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micronesia, i do not understand you say
When you apply a force to an object, it accelerates. The more mass it has, the more it resists accelerating (inertia). The formula is Fnet = m*a
I thought gravity was a constant for all objects. i don't know what role this equasion has
please bear with me I am probably a difficult student, understand I have no real background in mathematics I am better at just dealing with concepts and "the ways things work"
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United States24488 Posts
On October 23 2008 08:56 travis wrote:micronesia, i do not understand you say Show nested quote +When you apply a force to an object, it accelerates. The more mass it has, the more it resists accelerating (inertia). The formula is Fnet = m*a
I thought gravity was a constant for all objects. i don't know what role this equasion has
What I wrote there is a universal truth... and gravity has not even been mentioned yet. Gravity is just one type of force. Any force applied to an object can make it accelerate (speed up). But you know full well if you push a truck it won't accelerate as much as if you push a small car (because it has more mass)
Feel free to ask for clarification on any other aspects of it since it's a somewhat advanced topic to discuss at length.
please bear with me I am probably a difficult student, understand I have no real background in mathematics I am better at just dealing with concepts and "the ways things work" Oh good just like my students :p
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On October 23 2008 08:52 micronesia wrote:Show nested quote +On October 23 2008 08:50 3 Lions wrote:On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not.
but... force is not equal, I thought. are not the forces of the 2 objects different?
the heavier one would surely hurt more if it fell on you
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United States24488 Posts
On October 23 2008 08:59 travis wrote:Show nested quote +On October 23 2008 08:52 micronesia wrote:On October 23 2008 08:50 3 Lions wrote:On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not. but... force is not equal, I thought. are not the forces of the 2 objects different? the heavier one would surely hurt more if it fell on you You are engaging a common misconception that objects carry force. A force is an interaction between two or more objects. No one object can have a force.
A heavier object will hurt more because it has more energy and hits you with more momentum.
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On October 23 2008 08:57 micronesia wrote:Show nested quote +On October 23 2008 08:56 travis wrote:micronesia, i do not understand you say When you apply a force to an object, it accelerates. The more mass it has, the more it resists accelerating (inertia). The formula is Fnet = m*a
I thought gravity was a constant for all objects. i don't know what role this equasion has What I wrote there is a universal truth... and gravity has not even been mentioned yet. Gravity is just one type of force. Any force applied to an object can make it accelerate (speed up). But you know full well if you push a truck it won't accelerate as much as if you push a small car (because it has more mass) Feel free to ask for clarification on any other aspects of it since it's a somewhat advanced topic to discuss at length. Show nested quote +please bear with me I am probably a difficult student, understand I have no real background in mathematics I am better at just dealing with concepts and "the ways things work" Oh good just like my students :p
micronesia, under what assumptions are you stating that the accelerations will be different?
In a vacuum, the accelerations are equal, regardless of mass.
F=mg ma=mg a=g
The force exerted on the different mass objects are different, because the force is dependent on mass.
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United States24488 Posts
On October 23 2008 09:00 Mooga wrote:Show nested quote +On October 23 2008 08:57 micronesia wrote:On October 23 2008 08:56 travis wrote:micronesia, i do not understand you say When you apply a force to an object, it accelerates. The more mass it has, the more it resists accelerating (inertia). The formula is Fnet = m*a
I thought gravity was a constant for all objects. i don't know what role this equasion has What I wrote there is a universal truth... and gravity has not even been mentioned yet. Gravity is just one type of force. Any force applied to an object can make it accelerate (speed up). But you know full well if you push a truck it won't accelerate as much as if you push a small car (because it has more mass) Feel free to ask for clarification on any other aspects of it since it's a somewhat advanced topic to discuss at length. please bear with me I am probably a difficult student, understand I have no real background in mathematics I am better at just dealing with concepts and "the ways things work" Oh good just like my students :p micronesia, under what assumptions are you stating that the accelerations will be different? In a vacuum, the accelerations are equal, regardless of mass. F=mg ma=mg a=g The force exerted on the different mass objects are different, because the force is dependent on mass. Acceleration will be equal if the force changes according to the mass (specifically if the force is proportional to the mass)
edit: I don't believe I said anything to the contrary.
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On October 23 2008 09:02 micronesia wrote:Show nested quote +On October 23 2008 09:00 Mooga wrote:On October 23 2008 08:57 micronesia wrote:On October 23 2008 08:56 travis wrote:micronesia, i do not understand you say When you apply a force to an object, it accelerates. The more mass it has, the more it resists accelerating (inertia). The formula is Fnet = m*a
I thought gravity was a constant for all objects. i don't know what role this equasion has What I wrote there is a universal truth... and gravity has not even been mentioned yet. Gravity is just one type of force. Any force applied to an object can make it accelerate (speed up). But you know full well if you push a truck it won't accelerate as much as if you push a small car (because it has more mass) Feel free to ask for clarification on any other aspects of it since it's a somewhat advanced topic to discuss at length. please bear with me I am probably a difficult student, understand I have no real background in mathematics I am better at just dealing with concepts and "the ways things work" Oh good just like my students :p micronesia, under what assumptions are you stating that the accelerations will be different? In a vacuum, the accelerations are equal, regardless of mass. F=mg ma=mg a=g The force exerted on the different mass objects are different, because the force is dependent on mass. Acceleration will be equal if the force changes according to the mass (specifically if the force is proportional to the mass) edit: I don't believe I said anything to the contrary.
Oh, I thought you disagreed that the accelerations are, in fact, equal.
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On October 23 2008 09:00 micronesia wrote:Show nested quote +On October 23 2008 08:59 travis wrote:On October 23 2008 08:52 micronesia wrote:On October 23 2008 08:50 3 Lions wrote:On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not. but... force is not equal, I thought. are not the forces of the 2 objects different? the heavier one would surely hurt more if it fell on you You are engaging a common misconception that objects carry force. A force is an interaction between two or more objects. No one object can have a force. A heavier object will hurt more because it has more energy and hits you with more momentum.
ok so, the force of the objects is defined by gravity, which is a constant - so that is why their force is equal?
and their masses are different so their acceleration must be different
well, now I am just confused by the equation F=M x A
why is acceleration part of an equasion for force? shouldn't it be velocity, not acceleration?
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United States24488 Posts
On October 23 2008 09:12 travis wrote:Show nested quote +On October 23 2008 09:00 micronesia wrote:On October 23 2008 08:59 travis wrote:On October 23 2008 08:52 micronesia wrote:On October 23 2008 08:50 3 Lions wrote:On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not. but... force is not equal, I thought. are not the forces of the 2 objects different? the heavier one would surely hurt more if it fell on you You are engaging a common misconception that objects carry force. A force is an interaction between two or more objects. No one object can have a force. A heavier object will hurt more because it has more energy and hits you with more momentum. ok so, the force of the objects is defined by gravity, which is a constant - so that is why their force is equal? The first force is determined by gravity. It is the weight of the object. The more weight there is, the more the Earth pulls the object down. The weights are actually not equal. What is equal is the force of friction (air resistance). This is because air resistance depends on the shape/size of an object as well as the speed it is moving at, and the objects have the same shape and surface area.
and their masses are different so their acceleration must be different Keep in mind when there are two forces, you can't determine the acceleration of an object until you add both of those forces together. That why it's called the net force in the formula.
well, now I am just confused by the equation F=M x A
why is acceleration part of an equasion for force? shouldn't it be velocity, not acceleration? F=ma just talks about how objects respond to forces in general. The more force an object experiences, the more it will accelerate (as per f=ma). The only other factor to consider is mass. The more mass it has, the less it will accelerate.
The way we determine the value of actual forces is different. The weight of an object (for example) is equal to its mass (say, in kilograms) times the acceleration due to gravity on Earth (much higher than say, gravity on the moon).
edit: also, the only force in this discussion where velocity should be in the formula is the force due to air resistance (friction).
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micronesia, what is the role of "drag force" in all of this?
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Gravity will exert a higher force on the larger object (because gravity is greater for objects with greater mass). It exerts a force on the larger object such that the acceleration of both objects will be equal.
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On October 23 2008 09:17 micronesia wrote:Show nested quote +On October 23 2008 09:12 travis wrote:On October 23 2008 09:00 micronesia wrote:On October 23 2008 08:59 travis wrote:On October 23 2008 08:52 micronesia wrote:On October 23 2008 08:50 3 Lions wrote:On October 23 2008 08:06 travis wrote: 2 objects, same shape, surface, and size. different masses.
both are dropped from an airplane.
before either object reaches terminal velocity, will they accelerate at the same rate? Force = Mass x Acceleration Force is equal, but mass is different, so they will not accelerate at the same rate. 9th grade physical science owns. I think this suffices as the short answer, believe it or not. but... force is not equal, I thought. are not the forces of the 2 objects different? the heavier one would surely hurt more if it fell on you You are engaging a common misconception that objects carry force. A force is an interaction between two or more objects. No one object can have a force. A heavier object will hurt more because it has more energy and hits you with more momentum. ok so, the force of the objects is defined by gravity, which is a constant - so that is why their force is equal? The first force is determined by gravity. It is the weight of the object. The more weight there is, the more the Earth pulls the object down. The weights are actually not equal. What is equal is the force of friction (air resistance). This is because air resistance depends on the shape/size of an object as well as the speed it is moving at, and the objects have the same shape and surface area. Keep in mind when there are two forces, you can't determine the acceleration of an object until you add both of those forces together. That why it's called the net force in the formula. Show nested quote +well, now I am just confused by the equation F=M x A
why is acceleration part of an equasion for force? shouldn't it be velocity, not acceleration? F=ma just talks about how objects respond to forces in general. The more force an object experiences, the more it will accelerate (as per f=ma). The only other factor to consider is mass. The more mass it has, the less it will accelerate. The way we determine the value of actual forces is different. The weight of an object (for example) is equal to its mass (say, in kilograms) times the acceleration due to gravity on Earth (much higher than say, gravity on the moon). edit: also, the only force in this discussion where velocity should be in the formula is the force due to air resistance (friction).
Yeah, that is all correct, so to sum this all up:
In a vacuum (neglect air resistance) The accelerations of both objects are equal
In air (with air resistance) The object with more mass accelerates faster.
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United States24488 Posts
On October 23 2008 09:22 travis wrote: micronesia, what is the role of "drag force" in all of this? The drag force is the force of friction, which is due to air resistance. If there was no air (vacuum) then the objects would fall exactly the same. But since there is air, there is an upward force acting on each of the objects. This opposes the force of gravity, and when this drag force gets big enough, the object achieves terminal velocity.
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On October 23 2008 09:25 micronesia wrote:Show nested quote +On October 23 2008 09:22 travis wrote: micronesia, what is the role of "drag force" in all of this? The drag force is the force of friction, which is due to air resistance. If there was no air (vacuum) then the objects would fall exactly the same. But since there is air, there is an upward force acting on each of the objects. This opposes the force of gravity, and when this drag force gets big enough, the object achieves terminal velocity.
To expound on drag force a little bit: The terminal velocity occurs when the drag force is equal and opposite to the inertial force (when drag force= -mg)
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On October 23 2008 09:25 micronesia wrote:Show nested quote +On October 23 2008 09:22 travis wrote: micronesia, what is the role of "drag force" in all of this? The drag force is the force of friction, which is due to air resistance. If there was no air (vacuum) then the objects would fall exactly the same. But since there is air, there is an upward force acting on each of the objects. This opposes the force of gravity, and when this drag force gets big enough, the object achieves terminal velocity.
so it comes down to:
drag force VS force of gravity
and the force of gravity is based upon mass of the objects?
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