How Can You Calculate Mass from Force if Acceleration is Zero?

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Homework Help Overview

The discussion revolves around calculating mass from a force exerted by a book on a desk, specifically when acceleration is zero. The problem is situated within the context of Newton's laws of motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of the acceleration formula and its implications, questioning how to handle the scenario where acceleration is zero. There are attempts to clarify the relationship between force and mass, particularly in the context of gravitational force.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the relevance of free body diagrams and the implications of zero acceleration on the forces acting on the book.

Contextual Notes

Participants are navigating the constraints of the problem, particularly the assumption that the acceleration is zero and how that affects the calculation of mass from force.

TheOGBacon
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Homework Statement


A book exerts a force of 19.6 Newtons on the top of a desk. What is it's mass?

Homework Equations


M= Force/Acceleration

The Attempt at a Solution


I tried using the acceleration formula, but that only added more variables.
 
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TheOGBacon said:
I tried using the acceleration formula, but that only added more variables.
Really? What is the acceleration due to gravity?
 
I meant I tried using the acceleration formula to get an expression that I could plug in for my force equation.
 
TheOGBacon said:
meant I tried using the acceleration formula
That's the one you quoted in post #1, right?
You have a force, you want to find the mass, so all you need is an acceleration, yes?
Presumably, the force is the weight of the book. If an object has mass m, what is its weight?
 
TheOGBacon said:
I meant I tried using the acceleration formula to get an expression that I could plug in for my force equation.
A somewhat different route to get there: When in doubt, always start with a free body diagram.

The acceleration of the book is zero. F=ma. So the net force on the book must be zero. What forces act on the book?
 

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