Analyzing Force vs. Time graphs

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Homework Help Overview

The discussion revolves around analyzing a Force vs. Time graph, specifically in the context of determining the mass of an object based on the information provided by the graph. Participants explore the relationship between force, time, impulse, and momentum in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster seeks to understand how to derive the mass of an object from a Force vs. Time graph and questions what other data can be obtained from such a graph, including acceleration and velocity.
  • Some participants discuss the concept of impulse and its relation to momentum, while others suggest that calculating acceleration might be necessary to find mass.
  • There is mention of specific scenarios, such as circular motion and free-fall, that could influence the calculations.

Discussion Status

The discussion is active, with participants providing insights into the relationship between force, impulse, and mass. Various interpretations of the problem are being explored, particularly regarding the conditions under which mass can be determined from the graph.

Contextual Notes

Participants note potential constraints, such as the need for additional information like initial and final velocities or specific conditions like free-fall to facilitate calculations related to mass.

physics_wtf
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1. I REALLY need help here! I've been doing pretty good in physics so far this year, but a new quiz devastated me. Here's the problem:
I was given a Force vs. Time graph and a lot of the questions pertained to the mass of the object. How do I find the mass only given a F vs T graph?

Homework Equations


Is there any other data I can obtain from a Force/Time graph? (like acceleration, velocity, or something to do w/ friction)?
 
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A force time graph is all about impulse, and impulse is the change in momentum of an object.
 
Impulse is given by the area under an F-t graph.

As Kurdt said, impulse is the change in momentum of an object. ie. p2 - p1 or m(v2 - v1) [for constant mass].
 
If you're solely given the Force of an object over Time... I don't see how you could find the mass of the object unless you were somehow able to calculate the acceleration.

If the object was traveling around a circular path, and you were given the velocity or able to calculate the velocity and the radius of the circle, then you could substitute (v^2)/r as the acceleration...

But I believe, as in introductory physics, the equation F=ma has to come into play here.
(or F=(mv^2)/r)

NOW, you might have been told that this was a free-falling object, or a nuance similar. In which case, that gives you the acceleration (9.8 m/s^2)- so it may be tricky.
 
If it is analysing a collision, which F-t graphs are so often used for, and you know the initial and final velocities, then the mass can be found from the relationship in my last post.
 

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