UBC Undergraduate Research

Analyzing and Modelling the Dimensions of Craters Formed by Dropping Balls into Various Materials Bai, Pamela; Dyce, Josh

Abstract

Craters are a physical phenomenon present across the entire universe. In this experiment, we dropped different types of balls with varying radii and densities into separate materials of different properties. After measuring the dimensions of the crater that forms, we extrapolated linear trends between the crater dimensions and the impact energy. By assuming that the crater formed in each situation had the same shape of a cone with a spherical cap moulded to the shape of the ball, we used these trends to create a Python model that estimates crater dimensions, the final volume, and plots a cross-sectional diagram of the shape of the crater. By plotting the measured and modelled volume of the crater and analyzing errors using residual plots, we were able to determine the accuracy of our model and identify trends in the crater shapes in the different materials.

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Attribution-NonCommercial-NoDerivatives 4.0 International