The sword is mightier than the pen, you want empirical proof? Here is the proof:

First let us consider the different values: (Click here to subscribe to this blog)
v (velocity) = 62 m/s

m1 (The mass of the pen) = 0.050 kg (Yes, I am using kilos, here is why)
m2 (The mass of the sword) = 2.0 kg
Wk1 (kinetic energy - pen) –> (mv^2)/2 = 96.1 J
Wk2 (kinetic energy - sword) –> (mv^2)/2 = 3844 J 4x bloodier!

Apart from the higher level of energy, the shape of the sword is designed to cut through flesh. Let me illustrate this with a comprehensive computer model, notice the complexity of the image:

Now compare this empirically made model with that of a sword:

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