Concept questions - Laws of Motion

AI Thread Summary
The discussion revolves around interpretations of Newton's laws of motion, specifically addressing a scenario involving a ball rolling on a pool table and the dynamics of parachuting individuals of different weights. Participants explore how Aristotle and Galileo would view the ball's motion, with friction being a key factor in its eventual stop. For the parachuting question, two perspectives emerge: one suggests both individuals hit the ground simultaneously due to equal acceleration, while the other argues that the heavier person reaches the ground first due to a higher terminal velocity. The conversation emphasizes the relationship between gravitational force, mass, and terminal velocity, clarifying that a heavier person experiences greater terminal velocity because it takes more force to balance their weight against drag. Understanding these concepts is crucial for accurately applying Newton's laws in practical scenarios.
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Homework Statement



Newton's 1st Law of Motion

A ball rolled across the top of a pool table and slowly rolls to a stop. How would Aristotle interpret this behavior? Galileo? You?

Newton's 2nd Law of Motion

If a heavy person and a light person parachute together form the same altitude, and each wears the same size parachute, who should reach the ground first?

Homework Equations



* Fnet = m * a

* Faction = -Freaction

The Attempt at a Solution

 
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What are your answers?

What have you tried? Where are you stuck?

I see that you have 28 posts on this site. You should know the drill by now.
 
SammyS said:
What are your answers?

What have you tried? Where are you stuck?

I see that you have 28 posts on this site. You should know the drill by now.

I edited out the ones I'm not stuck on, I'm not sure how I would interpret the ball rolling and stopping on the table (friction?) and about the heavy/light person parachute thing I'm getting two answers:

1) g = Fg/m, right? so they would be similar ratios but one has a higher mass and bigger Fg, but they would both reach at the same acceleration --> same time reach the ground

2) the lighter person reaches terminal velocity first but the heavier person keeps accelerating (not sure how) so the heavier person hits ground first

which is right?
 
page123 said:
I edited out the ones I'm not stuck on, I'm not sure how I would interpret the ball rolling and stopping on the table (friction?) and about the heavy/light person parachute thing I'm getting two answers:

1) g = Fg/m, right? so they would be similar ratios but one has a higher mass and bigger Fg, but they would both reach at the same acceleration --> same time reach the ground

2) the lighter person reaches terminal velocity first but the heavier person keeps accelerating (not sure how) so the heavier person hits ground first

which is right?
"g = Fg/m, right?" Wow, that's hard to read. Looks like g should cancel. --- But I presume you mean that:

g = (Fg)/m .

Your answer #2 is the better of the two. Actually another factor is that terminal velocity is greater for the heavier person. Can you explain why that is true?
 
SammyS said:
"g = Fg/m, right?" Wow, that's hard to read. Looks like g should cancel. --- But I presume you mean that:

g = (Fg)/m .

Your answer #2 is the better of the two. Actually another factor is that terminal velocity is greater for the heavier person. Can you explain why that is true?

Is it because terminal velocity is defined as when the force of gravity is balanced by the force of drag? So since a heavier person has a heavier weight, the terminal velocity will be greater because it takes more time to balance out the weight while accelerating?
 
Not because it takes more time per se.

How is force of drag related to speed?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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