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

In summary, Angus Macbangus, a world champion head butter, can reach a head-butting speed of 8.5m/s in 0.5 seconds. With an effective mass of 24kg, Angus produces an impulse and power that can be calculated using momentum/impulse and kinetic energy equations. Additionally, if Angus head-butts an opponent in the face and comes to rest in 0.15 seconds, the force experienced by the opponent is equal in magnitude but opposite in direction to the force produced by Angus.
  • #1
freshcoast
185
1
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?

fefbxi.jpg
 
Physics news on Phys.org
  • #2
All looks about right.
 

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

1. What is the impulse momentum problem?

The impulse momentum problem is a physics concept that involves the relationship between the amount of force applied to an object and the resulting change in its momentum. It is based on the principle of conservation of momentum, which states that the total momentum of a closed system remains constant.

2. How is impulse related to momentum?

Impulse is the product of force and time, while momentum is the product of mass and velocity. They are related because the change in momentum of an object is equal to the impulse applied to it. This can be represented by the equation: Δp = FΔt, where Δp is the change in momentum, F is the force applied, and Δt is the time interval.

3. What factors affect the impulse momentum problem?

The impulse momentum problem is affected by the magnitude and direction of the force applied, as well as the mass and velocity of the object. The time interval over which the force is applied also plays a role in determining the change in momentum.

4. How is the impulse momentum problem used in real-life situations?

The impulse momentum problem is used in many real-life situations, such as sports (e.g. a tennis player hitting a ball), car accidents, and rocket launches. It helps to calculate the force needed to achieve a certain change in momentum or to predict the resulting velocity of an object after a given amount of time.

5. How does the impulse momentum problem relate to Newton's laws of motion?

The impulse momentum problem is closely related to Newton's second and third laws of motion. Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it. The impulse momentum problem expands on this by considering the change in momentum of an object due to a force. Newton's third law, which states that every action has an equal and opposite reaction, can also be seen in the impulse momentum problem as the force applied to an object causes an equal and opposite force on the object exerting the force.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
13K
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
5K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
11K
  • Introductory Physics Homework Help
Replies
5
Views
5K
Back
Top