The Physics of Pre-Hibernation Week



Friction, Work, and Thermodynamics

Sandy Sand Boarding
.gif made by Austin Head
special thanks to Stephen Hillenburg

In this episode, Sandy is getting ready for hibernation by doing all kinds of crazy activities with Spongebob. While sandboarding down Sand Mountain, she manages to catch on fire due to water resistance. We are going to look at the equations for work and heat transfer to understand the physics of Bikini Bottom.


   

W = (FF + Fa) × d


    Using the above equation, we can plug in the force of friction (Ff), the force of air resistance (Fa), and the distance that she has traveled (d) to be able to solve for work. To make things interesting we will assume that she is above water, it's 30 degrees Celsius, and her suit is made of cotton doused with 1 kg of lighter fluid. Lighter fluid has an auto ignition point of 230 degrees Celsius.


Q = mcΔT


    Using the above equations we can calculate how many Joules of energy it takes to increase the temperature of 1 kg of lighter fluid 200 degrees centigrade. We plug in the mass 1 kg for (m), the specific heat of the main ingredient in lighter fluid 1.72 kJ/(kg x K) for (c), and 200 degrees for change in temperature (ΔT).

   
    We find that it would take 344 kilojoules of work to cause her lighter fluid soaked space suit to catch on fire. When we divide by a distance of about a quarter of a kilometer, we find that the force of friction plus air resistance must be 1.38 kN, an unbelievable amount of force acting on an Eastern Grey Squirrel that weighs about 0.5 kg. It ends up being 282 times the force of gravity acting on her.



Sandy Sand Boarding Down Sand
                Mountain
.gif made by Austin Head
special thanks to Stephen Hillenburg



            
Home

Next