Time horse and Chiranjeevi should have stopped

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Alluda
Maja
ka
అల్లుడా మజాకా
Lindsay Krause & Ellen Sederdahl
Video Explanation
•Chiranjeevi is being chased by over a dozen men on either
horseback or in Jeeps
•He steals one of their horses and continues to be chased
•As he and the horse continue down the road, a tractor trailer
completely blocks the intersection
•In order to elude his followers, he gets the horse to fall, to slide
underneath the inconvenient tractor trailer, and get back
up again, continuing his chase
Physics Explanation
• Find the force of friction
• Use distance formula to find the
stopping distance in the movie
• Use force of friction to determine acceleration
• Use acceleration to determine the time it should
have taken the horse and Chiranjeevi to stop
• Substitute the new time into the distance formula to
find the distance they should have traveled
Estimations
Chiranjeevi
•5’9”
•Average weight
•165 lbs = 75 kg
Horse
•Average weight of riding horse
•1,200 lbs = 544kg
Total Weight
75 kg + 544 kg = 619 kg
Estimations
Chiranjeevi begins at a
distance of approximately 4
cars (3 cars and one car-sized
space between the first car
and the tractor trailer)
Approx. 1 ft between each car
Length of Car
•Approximately 6.5 tires
•1 tire = 20 approx. inches
20 in.
Calculations
6.5 (length of one car in tires)
X 20 (tire length in inches)
130 inches per car
130 (car length)
X 4 (number of cars + car sized space)
520 total inches of cars & space (43.3 feet)
520 (total inches of cars & space)
+ 24 (distance between the three cars)
544 = 13.817 meters
Distance traveled before fall:
13.817 meters
Calculations
Time traveling before fall:
3:64 seconds
Velocity before fall
Velocity = distance
time
Velocity = 13.8 m
3.63 sec
Velocity = 3.8 m/s
Calculations
Coefficient of friction (µ)
(brick and sand)
µ = .4
Force of Friction
Fk = µ·Fnorm = µ·m·g
Fk = .4(619 kg)(9.81 m/s²)
Fk = 2,429 N
Calculations
Stopping Distance
d = ½(vi + vf)t
d = ½(3.8 m/s)(4.54 sec)
d = 8.6 meters
Calculations
Time horse and Chiranjeevi
should have stopped
Fk = m·a
-2,429 = (619 kg)a
a = -3.924 m/s
0
a = vf - vi
t
t = -vi
a
t = -3.8
-3.924
t = 0.97 seconds
Calculations
Distance Chiranjeevi and horse
should have stopped
d = ½(vi + vf)t
d = ½(3.8 m/s)(0.97 sec)
d = 1.84 meters
Conclusion
8.6 m – 1.84 m = 6.76 meters too long
4.54 sec – .97 sec = 3.57 seconds too long
In the film Chiranjeevi and the horse traveled about
8.6 meters in 4.54 seconds as they were sliding. However,
in reality they should have traveled only 1.84 meters in
.97 seconds. In the movie Chiranjeevi and the horse
traveled 6.76 meters too long and 3.57 seconds too long.
8.6 meters = 28.2 ft
1.84 meters = 6.0 ft
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References
Chiranjeevi height
– http://www.imdb.com/name/nm0158112/bio
Average Male Weight
– http://www.halls.md/ideal-weight/met.htm
Horse weight
– http://en.wikipedia.org/wiki/Horse#Size_and_measurement
Coefficient of Sand
– http://www.supercivilcd.com/FRICTION.htm
Alluda Majaka video
– http://www.youtube.com/watch?v=uIFxEnkufnk
Pictures
– http://lifestyle.iloveindia.com/lounge/images/chiranjeevi.jpg
– http://raveendrareddy.files.wordpress.com/2008/09/reenacreations-chiranjeevi1.jpg
– http://www.window2india.com/cms/admin/userfiles/Image/Chiranjeevi.jpg
– http://www.extramirchi.com/wp-content/uploads/2008/08/padmabhushan_chiranjeevi.jpg
– http://s.chakpak.com/se_images/39651_-1_564_none/south-indian-superstar-chiranjeeviwallpaper.jpg
– http://bkr.8k.com/
– http://s.chakpak.com/se_images/39653_-1_564_none/south-indian-superstar-chiranjeeviwallpaper.jpg
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