Can You Determine the Mass of an Object from Free Fall Acceleration Data?

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SUMMARY

This discussion centers on determining the mass of an object using free fall acceleration data. The participant conducted an experiment measuring the time it took for a ball to fall a certain height, applying the equation y = 1/2g(t^2) to derive gravitational acceleration (g). The inquiry revolves around whether mass can be calculated from this data using the formula F = m * g. The consensus is that while gravitational force can be calculated, mass cannot be determined solely from free fall data without additional information.

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  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Basic knowledge of gravitational force
  • Concept of mass and weight
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  • Study Newton's second law of motion in detail
  • Explore the relationship between mass and weight
  • Investigate Galileo's experiments on gravity
  • Learn about free fall dynamics and air resistance effects
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dementor92337
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Homework Statement


Hi, I'm new here, and this may be a stupid question, but please bear with me. In my school, we had a lab where we measured the free fall acceleration. First we dropped a ball off a certain height and timed how long it took to reach the bottom. Then we used the equation:

y = v1t + 1/2a(t^2)

Note: v1 = 0 because we just dropped it, its initial velocity was 0. Also, the acceleration is "g". So the equation became:

y = 1/2g(t^2)

So we graphed y vs (t^2) and used the slope to find the value of "g".

My question is, using the information I told you, is it possible to find the mass of the object? If so, how?

I'm thanking you for your help in advance!

Homework Statement


Homework Equations


The Attempt at a Solution



What i thought of doing was somehow calculating the value of the force of gravity and then use the formula:

F = m * g

and then just solve for m, but i don't know how that is applicable here.
 
Last edited:
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Welcome to PF.

You might want to read up on Galileo's experiments in gravity.
 

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