Understanding the Relationship Between Mass and Gravity: A Comprehensive Guide

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Homework Help Overview

The discussion revolves around understanding the relationship between mass, weight, and gravity, particularly focusing on the units involved in these concepts. Participants are exploring how mass is defined, how weight is calculated, and the implications of using different units in these calculations.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to clarify the relationship between mass and gravity, questioning whether their understanding of the formulas and units is correct. Some participants provide insights into the definitions of mass and weight, while others raise questions about the implications of expressing mass in different units.

Discussion Status

The discussion is ongoing, with participants providing comments and clarifications about the relationships between mass, weight, and force. There is a mix of interpretations regarding the expression of mass in different units, and while some guidance has been offered, there is no explicit consensus yet.

Contextual Notes

Participants are navigating potential confusion around the units of mass and force, particularly in the context of Newton's laws and the acceleration due to gravity. There is an acknowledgment of the need for clarity in unit expressions, which may lead to misunderstandings.

mushhhy
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I hope this is in the proper section, if not sorry.
I need help understanding therelationships between gramass and gravity
masss is m weight is w gravity is g m=w/g, if w is expressed in kg and g in (m/s^2) the resultant will be in Newtons. Is this right or wrong ?

If I am trying to obtain the force F exerted on an object (in Newtons) and the mass is expressed in Newtons and multiplied by the acceleration in (m/s^2) will the answer still be in Newtons ?

Please explain this process to me
 
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I'm not exactly sure what you are trying to do, but I'll make a few comments. An object has mass, which is measured in kg. The object's weight is the gravitational force exerted on it. Force is measured in Newtons. For an object on the Earth's surface, the weight equals mg, where "g" is the "acceleration due to gravity", which is about 9.8 m/s^2. Thus: w = mg.

All of this relates to Newton's 2nd law: F = ma, in which force has units of Newton, mass has units of kg, and acceleration has units of m/s^2. (Note that this is just one common system of units; there are others.)
 
Thanks, can you help with my other posts :bugeye:
 
This might be a cruel lesson in units if you meant that the mass was expressed in Newtons divided by the acceleration, instead of Newtons multiplied by the acceleration.

F=ma, therefore, m=F/a, and units for m could be N/m/s^2.

I have a book that is 2 kg.
I have a book that is 2 N/(m/s^2)

They are the same thing, but people will look at you funny if you express it the 2nd way.

And if this is what they meant, yes, the resulting force will be in Newtons.
 

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