SANTA's PHYSICS:

 

check book for conversions

 

Assumptions:

 

Population of Earth

 

Percentage that is children

            OR

Number of children on earth

 

Percentage of children that believe in Santa

            OR

Percentage of "Christian"s of population

 

CALCULATE: Number of children to deliver to

 

Number of children per household

 

CALCULATE: Number of Households

 

 

Mass of Santa's sleigh

 

Mass of Santa

 

Number of reindeer

 

Mass of a reindeer

 

Dimensions of Santa's sleigh

 

Volume of sleigh

 

Area of sleigh from below

 

 

 

 

Area of sleigh from front

 

Average present mass

 

Average present height

 

Average present bottom area

 

CALCULATE:

total mass of presents

 

total mass of sleigh, Santa, reindeer

 

total mass of sleigh, Santa, reindeer, presents

total height of presents (assuming they are not crushed)

 

 

what the density of the presents would need to be crushed to to fit in the sleigh and only be 2 meters tall

 

Assumption: Surface Area of earth:

196,940,400 square miles (509,917,870 square kilometers).

 

 

CALCULATE:

Assuming households evenly spread,

Average area between households,

 

Average distance between households

(square root of area)

 

 

 

 

 

ASSUMPTIONS:

average hours of nightfall on Dec. 21,

if mostly Northern Hemisphere

 

Rotation in hours of the earth:

 

CALCULATE: Total time for Santa to make the journey

 

Assumptions: Time spent in each household:

 

CALCULATE:

Average time between each household:

 

Average speed between each household:

(Average distance/average time)

 

maximum speed reached between each household

(average speed times two)

Santa accelerates to max speed for half the distance, half the time, then deaccelerates the rest of the way

 

the acceleration/deacceleration for each half of the trip between each household

 

the total force required by the reindeer

F=mA

 

the work required by the reindeer

W= Fd (half the distance)

the work required by Each reindeer

 

the power required by the reindeer

P =W/T

 

the power required by EACH reindeer

(in horsepower??)

in watts?

 

The work converted to thermal, electrical, or chemical energy units

 

 

 

 

The theoretical terminal velocity of the sleigh

 

 

 

The escape velocity (11 km/sec)

Sound = 334 m/s

 

 

 

 

** Given the thermal energy absorbed by each reindeer over the time of each trip, and its mass, you can calculate the new temperature of the reindeer (assuming it started at zero)...

 

You can then compare to the cooking/vaporizing temperature of reindeer meat!