How to find the magnitude of Force from an A vs Mass Graph

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Homework Help Overview

The discussion revolves around interpreting a graph that plots acceleration against mass, with the goal of determining the magnitude of force acting on objects of varying mass. The original poster seeks clarification on how to correctly apply the relationship between force, mass, and acceleration.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the formula F=ma, questioning the correctness of the original poster's calculations and unit usage. There is a focus on ensuring the correct interpretation of mass units and their conversion.

Discussion Status

The discussion is active, with participants providing feedback on the calculations and suggesting unit conversions to clarify the results. There is no explicit consensus on the final answer, but various interpretations and approaches are being explored.

Contextual Notes

Participants note potential confusion regarding the units of mass (grams vs. kilograms) and the implications of this on the calculated force. The original poster's initial calculation appears to be based on a misunderstanding of these units.

Eram Ahmed
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Homework Statement


I have attached the graph which displays Acceleration vs Mass. It shows the acceleration of objects of different mass that experience the same force. I need to get the magnitude of the force from this.​

Homework Equations



F= ma

The Attempt at a Solution


I used F=ma for this but it was incorrect. If anyone can give me the right approach to this problem, it would be really helpful![/B]
 

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It should be correct. Please show your working.

Perhaps check your units?
 
From the graph, I multiplied 600m*6m/s^2= 3600 Newtons. But the answer is coming out as wrong.
 
Eram Ahmed said:
600m*6m/s^2= 3600 Newtons
It's not 600m you're multiplying (m means mass in that context) it's 600g.
 
Hiero said:
It's not 600m you're multiplying (m means mass in that context) it's 600g.
Yes sorry that was a typo, I meant 600 g. So shouldn't the answer be 3600 Newtons then? F=ma?
 
Eram Ahmed said:
So shouldn't the answer be 3600 Newtons then?
No, the answer should then be 3600 g⋅m/s2
 
You could also convert mass from grams to kilograms then multiply by acceleration in m/s2 to get a numerical answer in Newtons.
 

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