Little g lab Report

This report should adhere to a more formal lab report structure. You can see what that entails here.

Report Question 1

Why is this method not very good? What are the limitations?

Report Question 2

Let's consider how 'level' this track really is. Using uncertainty analysis, what is the uncertainty in the angle measurement of the track? Based on this uncertainty, our tracks are probably not exactly at $\theta = 0.000...$. In an ideal physics set up, even a very small angle $\theta$ should create an acceleration. So, why can you get the car to stand still? (here are some tips on uncertainties: Error Analysis)

Report Question 3

Based on this angle, estimate the static (or rolling) friction coefficient that is acting on the car when it's on the ramp. The mass of the cart is ~ 500grams. Essentially, what is the force that prevents it from rolling even if this track is not perfectly level. Include a free body diagram and use Newton's 2nd law with a Sum of forces to explain your calculations.

Report Question 4

Your task is to obtain a value for $g$ based on the measurements. You'll need to know the angle for each run so make sure you've carefully noted that variable.

The procedure will be to import the position data into excel, and use the excel curve fitting tools (aka a trendline) to analyse the data. We'll also use the $a = g \sin(\theta)$ relationship to obtain a value for $g$.

If you're not even sure where to begin, here is a quick introduction.

For each angle, perform the analysis separately. Do the three measurements all produce similar results for $g$? Why or why not? Comment on reasons why they might be different.

Report Question 5

Doing a similar analysis to this data as you did in the question above and determine the acceleration of the cart with and without the mass. Use your analysis to make a claim either that the mass affected the acceleration or that it did not. Would you expect it to based on our understanding of kinematics?

Report Question 6

More than likely, there are differences between some groups' estimation of $g$ shown in the table above. Comment on these discrepancies. If everyone had access to the same raw data (i.e. the video), shouldn't their results be the same? What could lead to variations in these results? Calculate the average value from $g$ based on these measurements. Is it within the uncertainty you would expect from the experiment?