Newton's 2nd Law: Force, Mass and Acceleration

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Discussion Overview

The discussion centers on Newton's 2nd Law, specifically exploring the relationship between force, mass, and acceleration, while questioning the role of velocity in this relationship. Participants engage in conceptual clarifications and debates regarding the definitions and implications of force in various scenarios.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions how force can depend only on mass and acceleration, suggesting that a punch delivered at constant velocity should still exert force.
  • Another participant argues that it is not feasible to punch something at constant velocity, as contact will result in acceleration changes for both the fist and the object.
  • Some participants clarify that while a fist may not exert force while moving at constant velocity, force comes into play upon contact, where acceleration occurs.
  • There is a discussion about the distinction between net force and individual forces acting on the fist, emphasizing that net force can be zero if opposing forces are equal.
  • One participant introduces the idea that while Newton's 2nd Law describes how forces affect momentum, it does not specify the dependencies of forces, noting that some forces can depend on velocity, such as drag.
  • Another participant points out that forces typically depend on position and velocity rather than acceleration, citing examples from gravitational and electromagnetic forces.
  • A participant highlights that weight, as a force, does not require velocity, only acceleration, using the example of gravitational force on a mass at Earth's surface.

Areas of Agreement / Disagreement

Participants express differing views on the role of velocity in the context of force, with no consensus reached on the implications of force in scenarios involving constant velocity versus acceleration. The discussion remains unresolved regarding the broader definitions and dependencies of forces.

Contextual Notes

Some statements depend on specific interpretations of force and acceleration, and there are unresolved assumptions about the practicalities of delivering a punch at constant velocity versus the theoretical considerations involved.

ttesss
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I´m currently studying Newtons 2nd law and I don't get how can force only depend on mass and acceleration and not on velocity..
I mean, if I punch something with my fist going at constant velocity ( acceleration=0) it stills has a force right?
 
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ttesss said:
...going at constant velocity ( acceleration=0) it stills has a force right?
No.
 
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ttesss said:
I mean, if I punch something with my fist going at constant velocity ( acceleration=0) it stills has a force right?
You can't punch something with constant velocity. The instant you make contact, it will accelerate and your fist will decelerate (and both will deform).

Have you studied momentum yet? That's the concept you are looking for.
 
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russ_watters said:
You can't punch something with constant velocity.
[sigh] Before I get a "but what if...?" Ok, sure, it is theoretically possible, but practically speaking it is really not.
 
ttesss said:
Summary:: F=m x a

I mean, if I punch something with my fist going at constant velocity ( acceleration=0) it stills has a force right?

When you say it still has a force what do you mean by "it"? If you're talking about your fist then you need to look at the net force on your fist. The thing that your fist hits will exert a force on your fist. But the rest of your body also exerts a force on your fist. If the two forces exerted on your fist are equal but opposite, then the net force on your fist is zero and the acceleration of your fist is also zero.
 
ttesss said:
Summary:: F=m x a

it stills has a force right?
Whilst it's on its way, at a constant velocity, your fist 'has' no force. The force comes into the situation during actual contact when the fist or the object or both, changes velocity - i.e. accelerates. Then the force is its mass times the acceleration. If there is something resilient in the way (a cushion or spring) then the acceleration may be less so the force will also be less (but spread over a longer distance).
 
ttesss said:
Summary:: F=m x a

I´m currently studying Newtons 2nd law and I don't get how can force only depend on mass and acceleration and not on velocity..

Newton 2 just tells you what forces do (changing the momentum of a body with the rate m·a) but not what they depend or not depend on. That is subject of force laws. Of course there can be forces that depend on velocity (e.g. drag). Than you have F(v) = m·a.
 
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I'm a bit puzzled by this question since forces usually depend on position and velocity but not on acceleration. The paradigmatic examples are Newton's gravitational interaction
$$\vec{F}_{12}=-\frac{G m_1 m_2 (\vec{r}_1-\vec{r}_2)}{|\vec{r}_1-\vec{r}_2|}$$
and Lorentz's force on a charge in an electromagnetic field (in SI units)
$$\vec{F}=q [\vec{E}(t,\vec{x}) + \vec{v} \times \vec{B}(t,\vec{x})],$$
where ##\vec{x}## is the position of the particle and ##\vec{v}## its velocity.

Except for gravitational interactions forces usualy don't depend on mass either.
 
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This is a reply to ttess (posting #1)
Weight is a force and as we know force = mass * acceleration, (where acceleration = 9.80665 meters / sec²).
A mass of 1 kilogram on the Earth's surface has a force of 9.80665 Newtons.
Basically, we know that objects don't need velocity to have weight (or force), just acceleration.
 

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