Does the Force Formula F=m x 10 N/kg Apply to Bodies at Rest or in Motion?

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SUMMARY

The force formula F = m × 10 N/kg, which equates to F = mg, applies to bodies both at rest and in motion, specifically near the Earth's surface. This formula is derived from the gravitational force acting on an object, where g is approximately 10 m/s². The discussion clarifies that while the formula is often associated with weight, it is applicable in dynamic scenarios as well, provided the gravitational acceleration is considered constant at 10 N/kg. Understanding this concept is crucial for physics students, particularly in the context of Newtonian mechanics.

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Homework Statement


Does the force formula ##F=m χ 10\frac{N}{kg}## which means ##F=G##, apply for bodies on rest or motion?


Homework Equations


##F=G=m χ 10\frac{N}{kg}##

The Attempt at a Solution


I think it only applies for bodies in rest.

I'm waiting an answer , thanks!
 
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The formula W = mg gives you the weight of a mass m, regardless of whether it's at rest or in motion.
 
Weight is G, not W.., anyways I wasn't asking about other formulas, i was asking about my formula ##F=mχ10\frac{N}{kg}##
 
-Physician said:
Weight is G, not W..,
:rolleyes:
anyways I wasn't asking about other formulas, i was asking about my formula ##F=mχ10\frac{N}{kg}##
Where did you get that formula? It sure looks like 'mg' to me, which is weight. Seems like you're using g = 10 m/s^2.
 
I see you don't know that formula,we use that to find the Pushing force or weight of a body using the mass, which i think that the body is in rest. For example if we have a body with mass 2g, then the weight would be:

##G=mχ10\frac{N}{kg}=\frac{2}{1000}kg χ 10\frac{N}{kg} = \frac{200}{1000}N##(btw. kilogram and kilogram get simplified )

What I wanted to ask is if that formula applies also if the body is in motion
 
-Physician said:
I see you don't know that formula,we use that to find the Pushing force or weight of a body using the mass, which i think that the body is in rest. For example if we have a body with mass 2g, then the weight would be:

##G=mχ10\frac{N}{kg}=\frac{2}{1000}kg χ 10\frac{N}{kg} = \frac{200}{1000}N##(btw. kilogram and kilogram get simplified )

What I wanted to ask is if that formula applies also if the body is in motion

No ! Doc Al got you correct. Your formula is nothing but of weight which is mass times gravity.

F=mg

Newton per kg in your unit gives you gravitational pull..

1 N/kg = 1 m/s2

You are assuming gravity in your formula to be 10 m/s2.

So you state that weight = mg = m*10 N/kg
OR
weight = m*10 m/s2
Of course , I guess everyone here know that kg and kg gets simplified..:rolleyes:

Your formula is nothing but simple mg where you substituted for g by 10 metre per second squared.

Edit : Of course this formula applies when body is in motion. Doc Al already stated that in previous posts.
 
So, the gravity is not always ##10\frac{N}{kg}##, then why is the Weight/Force formula
##F=mχ10\frac{N}{kg}##
 
-Physician said:
So, the gravity is not always ##10\frac{N}{kg}##, then why is the Weight/Force formula
##F=mχ10\frac{N}{kg}##
That formula applies near the Earth's surface.
 
Thank you very much, I am new on physics, I am only on the first grade so , I need to learn more :) Thanks@!
 
  • #10
Anyways, can the body near the Earth surface be in motion and in rest aswell, or only in rest or only in motion?
----------------------
Would...:
##1\frac{N}{kg}=1\frac{m}{s^2}## because :
##1\frac{N}{kg}=1\frac{m}{s^2}=1\frac{kg\frac{m}{s^2}}{kg}=1\frac{m}{s^2}##kg and kg get simplified ##=1\frac{m}{s^2}=1\frac{m}{s^2}##
 
  • #11
-Physician said:
Anyways, can the body near the Earth surface be in motion and in rest aswell, or only in rest or only in motion?
I don't know what you mean. A rock (for example) can be in motion or at rest. (Not at the same time within the same reference frame, of course.)

----------------------
Would...:
##1\frac{N}{kg}=1\frac{m}{s^2}## because :
Sure, those units are equivalent.
 

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