About acceleration and mass....

[Sundown444]

Now, if I recall correctly, lighter objects with smaller inertia do go faster in terms of acceleration and farther than objects with heavier mass or inertia when the same force is exerted on them. But what about same accelerations? If a light object and a heavy object were to undergo the same accelerations even though they are exerted upon by different forces, which one would go farther before stopping whether by friction or something else exerting the same amount of force on both of them into stop them?

 

[BvU]

if I recall correctly, lighter objects with smaller inertia do go faster and farther than objects with heavier mass or inertia when the same force is exerted on them

You don't recall correctly. They accelerate faster according to Newton 2: F = m$\times$a

And, conversely, they decelerate slower [edit] oops: faster , which answers your

which one would go farther before stopping whether by friction or something else exerting the same amount of force on both each of them

 

[Sundown444]

You don't recall correctly. They accelerate faster according to Newton 2: F = m$\times$a

And, conversely, they decelerate slower, which answers your

For the first part, so I made a small error. I did mean they accelerate faster rather than go faster, but I didn't think it would matter either way I put it. I can see I was wrong, but with what I was thinking, what I actually said aside, I was technically not incorrect, if you know what I mean.

Still, which one decelerates slower, both of them?

 

[BvU]

I goofed too: lighter masses decelerate faster. The acceleration and the force simply point in the other direction

 

[kuruman]

But what about same accelerations? If a light object and a heavy object were to undergo the same accelerations even though they are exerted upon by different forces, which one would go farther before stopping whether by friction or something else exerting the same amount of force on both of them into stop them?

Galileo supposedly did that experiment 400 years ago. Two different masses in free fall experience different forces but have the same acceleration, $g$. The kinematic equations that we now know predict that the two masses will hit the ground at the same time. This means that neither goes farther in the same amount of time.

 

[Sundown444]

Galileo supposedly did that experiment 400 years ago. Two different masses in free fall experience different forces but have the same acceleration, $g$. The kinematic equations that we now know predict that the two masses will hit the ground at the same time. This means that neither goes farther in the same amount of time.

Unless air resistance is there and affects the motion of the object. Otherwise, got it. That helped really well, thanks.