Why is a paper falling slower than a heavier object?

In summary: EO-In summary, the paper experiences greater air resistance because of its smaller mass. This greater air resistance causes the paper to take longer to approach the ground than a heavier object.
  • #1
jrm2002
57
0
Why is that a paper which is freely falling down takes a longer time to approach the ground than a heavier object say a ball which is freely falling?
 
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  • #2
The ratio of air resistance to the body's mass. In a vacuum, feathers and paper sheets and bowling balls fall at the same rate.
 
  • #3
You mean because the mass of the paper is less it experiences greater air resistance?
Can we interpret as follows:
1.The paper experiences gravitational acceleration
2.Acceleration due to resisting force acting through the air.
Then, since the mass of the paper is less it experiences gretaer acceleration due to the resisting force acting through the air(a=F/m).Right?
The gravitational acceleration is independent of the mass.
 
  • #4
The air resistance has nothing directly to do with the mass. The air resistance creates a retarding force to the downward motion of the body. The greather the mass of the object, the better it can overcome this retarding force, and the closer the acceleration will be to the maximum of g.

It's helpful to work out the math behind this kind of situation, to help convince yourself of what is happening. I did it once after I had (lost) and argument with somebody about bicycles going down a hill. I said (incorrectly) that the mass of the riders should not matter, but it turns out that the masses do matter. Hold the rolling resistance and air resistance constant, and add mass to one rider -- do the calculation to figure out which bicycle goes faster down the hill...
 
  • #5
Let's equalize surface area and material air flow resistance perturbations:
Take 2 objects, the first being a 1-foot diameter solid sphere of lead, and the second being a 1-foot solid sphere of balsa wood.

Both objects are then coated on the outside with whatever same substance and polished, such as to render equal any air resistance concerns.

On an ultra-calm day with no winds, drop them from the same height and at the same time from a tall building.
Which ball hits the ground first? The lead ball, the balsa wood ball, or both at the same time?
 
  • #6
pallidin said:
Let's equalize surface area and material air flow resistance perturbations:
Take 2 objects, the first being a 1-foot diameter solid sphere of lead, and the second being a 1-foot solid sphere of balsa wood.
Or a 1-foot diameter balloon filled with air...
 
  • #7
berkeman said:
Or a 1-foot diameter balloon filled with air...

A good extension, though I would not use a gas balloon in a serious experiment even in a calm wind environment due to the gases ultra-sensitivity and commensurate volume displacement from thermal influence which could affect the wind drag.
In addition, even in a calm wind, an ultra light balloon could be seriously influenced by even the smallest whisper of wind.
Nonetheless, your point is well taken.
 
  • #8
jrm2002 said:
Why is that a paper which is freely falling down takes a longer time to approach the ground than a heavier object say a ball which is freely falling?

Here is something that may help you see what all the fuss is about... the Apollo 15 Hammer-Feather Drop experiment - on the MOON!

Go here jrm:
http://nssdc.gsfc.nasa.gov/planetary/lunar/apollo_15_feather_drop.html

-LD
 

Related to Why is a paper falling slower than a heavier object?

1. Why do objects of different weights fall at the same rate in a vacuum?

According to the theory of gravity, all objects, regardless of their weight, will fall at the same rate in a vacuum because there is no air resistance pushing against the objects. This means that in the absence of air resistance, the force of gravity is the only force acting on the objects, causing them to accelerate at the same rate.

2. Why does a heavier object fall faster in the real world?

In the real world, objects of different weights do not fall at the same rate due to the presence of air resistance. Air resistance acts as a force that slows down the fall of objects by pushing against them as they fall through the air. Heavier objects have a larger mass, which means they have more inertia and are less affected by air resistance, allowing them to fall faster.

3. How does air resistance affect the falling speed of an object?

Air resistance is a force that opposes the motion of objects falling through the air. The amount of air resistance depends on the shape, size, and speed of the falling object. As an object falls, air resistance increases, which means that the object will reach a maximum speed and will not continue to accelerate. This is why objects of different weights fall at different speeds in the real world.

4. Why does a paper fall slower than a heavier object?

While a paper and a heavier object may have the same mass, the paper has a larger surface area and is less dense than the heavier object. This means that the paper experiences more air resistance as it falls, slowing down its descent. On the other hand, the heavier object has a smaller surface area and is more dense, allowing it to fall faster as it is less affected by air resistance.

5. Can air resistance be reduced to make objects fall at the same rate?

In order for objects of different weights to fall at the same rate in the real world, air resistance must be eliminated. This can be achieved by creating a vacuum, where there is no air resistance present. In a vacuum, objects will fall at the same rate regardless of their weight, just like in the theory of gravity. However, in our everyday lives, air resistance cannot be completely eliminated, so objects will continue to fall at different rates based on their weight and other factors.

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