Analyzing Force vs. Time graphs

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To determine mass from a Force vs. Time graph, one must understand that impulse, represented by the area under the graph, equates to the change in momentum. The relationship between force, mass, and acceleration (F=ma) is crucial, as mass can be calculated if acceleration is known. In scenarios involving circular motion, knowing the velocity and radius allows for acceleration calculation using v^2/r. If the object is in free fall, the acceleration is constant at 9.8 m/s², simplifying mass determination. Overall, the context of the problem, such as whether it involves collisions or free fall, significantly influences how mass can be derived.
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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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