How can the mass of an object be determined with given variables?

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SUMMARY

The discussion centers on determining the mass of an object in free fall using the provided variables: displacement (Δx = 82.9056 m ± 1m), acceleration (a = 9.8 m/s²), initial velocity (v0 = 0.2424 m/s), final velocity (v1 = 40.3106 m/s), and time (t = 4.11 s). Participants concluded that the mass cannot be determined solely from the given information, as the acceleration due to gravity (g) remains constant regardless of mass. The equation a = f/m indicates that mass cancels out, reinforcing that additional data is required to solve for mass.

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  • Understanding of Newton's second law of motion (a = f/m)
  • Familiarity with kinematic equations for free fall
  • Basic knowledge of gravitational acceleration (g = 9.8 m/s²)
  • Ability to manipulate algebraic equations
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Homework Statement


Δx = 82.9056 m ± 1m
a = 9.8 m/s/s ( its gravity object is in free fall)
v0 = .2424 m/s
v1 = 40.3106
t = 4.11

I need to find the mass of an object and i have lots of variables to play with but couldn't figure out :( .

Homework Equations



Ohh well this looks dumb.

a= f/m ( f = force of gravity since its in free fall)


The Attempt at a Solution



a= mg/m
and if i do this mass cancels out and i am left with a = g so please help


thank you for helping
 
Last edited:
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an object in free fall will accelerate at the same rate (g) regardless of its mass, so either the problem is missing some information, or the mass cannot be found based on the given information.
 

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