"In Certain Martial Arts, People Practice Breaking A Piece Of Wood With The Side Of Their Bare Hand. Use Your Understanding Of Impulse To Explain How
"In certain martial arts, people practice breaking a piece of wood with the side of their bare hand. Use your understanding of impulse to explain how this can be done without injury to the hand.
a. Given the same change in momentum, when the time interval is smaller the impact force is bigger.
b. Given the same change in momentum, when the time interval is bigger the impact force is bigger.
c. Given the same change in momentum, when the time interval is smaller the impact force is smaller.
d. Given the same change in momentum, when the time interval is bigger the impact force is smaller.
"
Answer:
In certain martial arts, people practice breaking a piece of wood with the side of their bare hand. In order to avoid any injuries, they should adapt to this concept c. Given the same change in momentum, when the time interval is smaller the impact force is smaller.
Explanation:
Momentum is basically mass in motion. Meanwhile, impulse is the change in momentum and not momentum itself. Momentum is equationally defined as wherein p = momentum. With this given, impulse is basically . Impulse measures the rate of force in time or the change of velocity of a mass.
The problem takes us to the concept of collision. Collision is a phenomenon wherein momentum and impulse are transferred to another object by way of contact. Theoretically, the momentum and impulse before collision will be equal after collision to the hit object.
Breaking a piece of wood using the side of the bare hand would require great momentum and impulse. To achieve a no injury stunt, we should take into consideration the impact time of your hand to the wood. A hand injury may happen if too much force is absorbed. Since , we should lessen the impact time to lessen the force absorbed by the hand.
Below I will enumerate the choices and explain each given choices. I will state whether each option is possible and what would happen if those were taken into action by the martial artist. Take note that we will disregard any other source of force. We will focus on the hand, wood, and the conditions of the problem.
a. Given the same change in momentum, when the time interval is smaller the impact force is bigger.
This is impossible in plain momentum and impulse scenarios. A small impact time will never exert bigger force than the original momentum. This will violate since time directly affects force.
Envisioning the scenario, however, will take us to a whole new dimension. Imagine poking someone and potentially annihilating everything in a mile radius. There is no way in real life that a transferred small force would generate bigger force at a short duration of contact.
b. Given the same change in momentum, when the time interval is bigger the impact force is bigger.
This is theoretically possible in a natural scenario. This describes that an object in collision for a prolonged time than necessary, would generate an additional force. This is where inertia and gravity plays a role.
In our scenario, if a martial artist would follow this concept, he has his chances of breaking his hand. A prolonged time means more force to be absorbed by your hand. There are three possible outputs to this concept. It is either the martial artists does not break the wood, the martial artists fractures the wood, or the martial artists breaks the wood. All of these of course has a twist. It would be painful and possibly injure the martial artist.
c. Given the same change in momentum, when the time interval is smaller the impact force is smaller.
This is the most ideal among the choices given. At the same rate of impulse, if you chop the wood at a short impact time, there would be less force to be absorbed by your hand.
In this, the martial artists successfully chops the wood. The contact of his hand and the wood will be in just a split second. You will be watching a swift motion of almost no interruption.
d. Given the same change in momentum, when the time interval is bigger the impact force is smaller.
This concept can never happen at all. There will be a question of where did all the force go? It cannot magically disappear as no energy is created nor destroyed. This is similar to what happens in our dreams. We try to hit something at great momentum but there seems nothing to happen. Not even a slight motion nor sensation. Sensation is great way to tell whether force is present.
To conclude this, in order to break a wood with your bare fist, you must exert force with high velocity in order to kick in high impulse. Doing so would reduce impact time and save you from agonizing pain.
You may read more about momentum, impulse, and collisions here.
More about momentum:
More about impulse:
More about collisions:
CODE:
9.22.4.1.
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