How Does Angus Macbangus's Head-butt Physics Work?

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SUMMARY

The discussion focuses on the physics of Angus Macbangus's head-butt, detailing his acceleration to a speed of 8.5 m/s with an effective head mass of 24 kg. The impulse produced by Angus is calculated using the momentum/impulse equations, while the power output of his muscles during acceleration is determined to be 34 Watts. Additionally, the force experienced by the opponent's face upon impact is calculated to be 320 N in the opposite direction of the head-butt.

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1. Problem statement and all known variables
The world champion head butter Angus Macbangus can accelerate himself from rest to head-butting speed of 8.5m/s. Since the upper body is involved in a properly executed head-butt, the effective mass of the head is 24kg. (Label the direction the head moved as +i. Assume linear motion at the moment of impact.)

a) what impulse does Angus produce?
b) if Angus reaches butting speed in 0.5s, what power must his muscles produce?
c) if Angus head-butts an opponent in the face and his head comes to rest in a time of 0.15s, what is the magnitude and the direction of the force that the opponents face experience?

2. Related equations
Momentum/impulse equations
Kinetic energy 1/2mv^2

3. Attempt
Just checking to see if my work is correct.
For part c, the force that the opponent experiences is the equal to the force I found but in the opposite direction?

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All looks about right.
 

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