Everyone knows that unicorns are magical and have a strong
association with rainbows.
Naturally everyone also knows that unicorns fart magical rainbows.
These magical farts propel the unicorns all over space.
We are going to find out how high a magical rainbow fart will
shoot a unicorn straight up.
First we find the velocity of the unicorn using the
Law of Conservation of
Momentum:
p(initial) must equal p(final)
0=m(fart)v(f)+m(unicorn)v(u)
v(f) is negative because it is
directed downward
v(u) is
positive because it is directed upward
The mass of the
unicorn is 495 kg and the mass of the fart is 0.005 kg
The velocity of the fart is 3.048 m/s
Our magical power multiplier is ß=10^8
v(u)= ß[-m(f)v(f)]/m(u)= 10^8[0.005kg*3.048m/s]/495kg=
3078.79 m/s
Next we use one of the
Kinematic
Equations:
y-y
0=vt+0.5at^2
y0=
0 m because the unicorn is on the ground
a(cceleration)=
-g(ravity) or -9.8m/s^2
The time it acts on is 5 sec
y= 3078.79m/s*5s + 0.5*-9.8m/s^2*25s= 15271.45 m
The unicorn can be fired 15271.45 meters high by its magical fart.
Courtney
Cieplik
