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AP® Physics C: Mechanics

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Center of Mass: Stacking Capybaras on an Elephant

APPHMC-H739NP

TOMIHIRO ONO. Created for Albert.io. Copyright 2016. All rights reserved.

An elephant has mass $7500 kg$ and has a height of $2.7 m$.

If you could stack $73.5 kg$ capybaras each $50cm$ in height high on top of the elephant, at how many capybaras added would the center of mass of the system be vertically outside the elephant, that is to say $y_{CM} > 2.7 m$?

For the purposes of this problem, treat the elephant and capybaras as a uniform masses (each animal has its center of mass at its vertical center).

A

$n = 6$

B

$n = 24$

C

$n = 52$

D

$n = 103$

E

$n = 206$