Quick question on experimental errors

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Homework Help Overview

The discussion revolves around an experimental setup involving kinematic equations for uniformly accelerated motion. A student is measuring the fall time of plastic balls from a height of 3 m and is encountering a significant discrepancy between predicted and measured times, prompting an exploration of potential causes for the error.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to identify the cause of a 35% error in measured fall time, considering various factors such as the shape of the balls and the uniformity of acceleration. Participants discuss the implications of non-spherical shapes and air resistance on the results.

Discussion Status

Participants are engaging in a productive dialogue, with some clarifying the relationship between shape and drag forces. There is acknowledgment of the dominant effect of air resistance on acceleration, and the conversation is exploring the nuances of how these factors interact.

Contextual Notes

Participants are examining assumptions about the physical properties of the balls and the effects of air resistance, with some uncertainty regarding the definitions and implications of non-uniform acceleration.

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Homework Statement



A student is testing the kinematic equations for uniformly accelerated motion by measuring the time it takes for light-weight plastic balls to fall to the floor from a height of 3 m in the lab. The student predicts the time to fall using g as 9.80 m/s^2, but finds the measured time to be 35% greater. Which of the following is the most likely cause of the large percent error?

A) acceleration due to gravity is 70% greater than 9.80 m/s^2 at this location.
B) acceleration due to gravity is 70% less than 9.80 m/s^2 at this location.
C) air resistance increases the downward acceleration.
D) the acceleration of the plastic balls is not uniform
E) The plastic balls are not truly spherical.

Homework Equations



basic kinematics and common sense

The Attempt at a Solution



I was able to narrow it down to E and D. If a ball is not truly spherical (and has more of a plate-like shape), then I thought that would increase surface area for the drag forces that would increase flight time. However, the solutions say this the correct answer is D. Could anyone please explain to me why I am wrong and they are right?

Thanks in advance!
 
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Well! However, non spherical "ball" it may be! It won't have a plate like shape!
 
I mean it will have a bulging shape... more surface area... more drag?
 
A non-spherical shape is a small correction to the dominant effect of (D), which should be phrased as "air resistance reduces the acceleration" (but it also leads to a non-constant acceleration).
 
OK thanks! That makes sense!
 

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