# Which object would fall to the ground faster: a heavy mass or a feather? (Please correct my logic).

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**I know that both objects will fall to the ground at the same time b/c of acceleration due to gravity** However, my logic does not correspond to this answer:

1. Upon drawing an FBD of the heavy mass and the feather, I realize that the only force acting on both is Fg.

2. If Fg = **m** g, then Fg of mass will be greater than the Fg of the feather.

3. Therefore, Fg = Fnet. Fnet is proportional to acceleration. If Fnet of mass is greater than Fnet of feather, then mass should accelerate faster to the ground than the mass.

**What is wrong with my reasoning?** Help! Thank you.

**I know that both objects will fall to the ground at the same time b/c of acceleration due to gravity** However, my logic does not correspond to this answer:

1. Upon drawing an FBD of the heavy mass and the feather, I realize that the only force acting on both is Fg.

2. If Fg = **m** g, then Fg of mass will be greater than the Fg of the feather.

3. Therefore, Fg = Fnet. Fnet is proportional to acceleration. If Fnet of mass is greater than Fnet of feather, then mass should accelerate faster to the ground than the mass.

**What is wrong with my reasoning?** Help! Thank you.

Heavy mass (for various reasons), however, in an ideal situation with no atmosphere, both object would fall at the same time.

Now that we know that all objects fall at the same speed due to gravity, let's talk about uniform matter.

The confusing part now is that air resistance, or the friction/drag component in an FBD, must also be considered.

When an object has a large surface area and its mass is significantly smaller than its counterpart, air resistance increases.

Because there is only gravity on the Moon and no atmosphere, if we were to take the feather and the heavier object—let's say a rock—and drop them at the same time, they would fall at the exact same time.

Because the rock's air resistance is lower than the feather's, it fell first.

I hope this is helpful.

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In a vacuum, both objects would fall to the ground at the same rate due to the absence of air resistance. However, in a non-vacuum environment like Earth's atmosphere, the heavy mass would fall faster than the feather due to its greater inertia and ability to overcome air resistance more effectively. This is because air resistance affects lighter objects more significantly than heavier ones, causing the feather to experience greater drag and fall more slowly compared to the heavy mass.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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