The Physics of Worm Friction


Friction

In this episode, an Alaskan Bull Worm terrorizes Bikini Bottom and Sandy decides to take on this worm. She finds out that the worm is too large for her to handle. The worm speeds off with Spongebob and Sandy on its back and it is up to us to figure out how large the coefficient of friction had to be for them to not slip off the worm.
Spongebob, Sandy,
                and the Worm

http://img2.wikia.nocookie.net/__cb20121215101428/spongebob/images/thumb/9/9e/Alaskan_Bull_Worm%2C_Sandy%2C_%26_Spongebob.jpg/238px-Alaskan_Bull_Worm%2C_Sandy%2C_%26_Spongebob.jpg




Alaskan Bull Worm

http://img3.wikia.nocookie.net/__cb20120812051804/spongebob/images/3/34/Sandy_spongebob_and_the_worm.jpg


To find the coefficient of friction (μk), we know that the force of friction (Ff) has to be at least equal to the force trying to push them off (Fp). The worm sped up to 30 meters per second in 5 seconds and Sandy weighs 1 kg.

Ff=Fp

FP=m·a

Ff=FN·mk





The mass of Sandy is 1 kg (m) and the acceleration is 6m/s^2 (a), so (Fp) is 6N, and if you divide by the (FN) you get that (μk) is 0.612 or in other words, a little bit more friction than dry steel on steel.



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