Lucy is measuring the acceleration due to gravity in Melbourne by dropping a ball through a vertical distance 1.00 m and timing how long it takes.
The ball starts at rest, and Lucy times its fall four times. The results are: 0.47 s, 0.42 s, 0.48 s and 0.41 s. The uncertainty in her distance measurement is 1 cm and theuncertainty in the timer is 0.01 s. What is the uncertainty in the value of g that Lucy calculates?
a. at least 0.01 ms−2 and at most 0.03ms−2.
b. more than 0.03 ms−2but at most ms−2.
c. more than 0.1 ms−2 but at most 0.4 ms−2.
d. more than 0.4 ms−2 but at most 0.6 ms−2.
e. more than 0.6ms−2 but at most 2ms−2.http://asoeonline.edu.au/theme/image.php/essential/core/1427682940/i/grade_correct
I am not sure about the equations to use, but I think that these ones might help:
GPE = mgh
F = ma
The Attempt at a Solution
Average of time values = 0.45s
Uncertainty = 0.45s +/- 0.04 s
Distance uncertainty = 1m +/- 0.01m
This is as far as I go. How do I calculate the g values from here on?
Thanks in advance :)