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Grandmaster Ken MacKenzie - Taekwondo Times

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By Erik Richardson<br />

Over the course of centuries, the greatest<br />

martial artists have been working to solve a very<br />

complex set of physics problems, even though<br />

they rarely thought of it in terms of physics,<br />

about using the mass of the human body to create<br />

the maximum amount of force. In trying to<br />

understand a lot of areas of life, a little science<br />

goes a long way. It is similarly true that a little<br />

math can go a long way in understanding science.<br />

We will look at a key equation from physics<br />

involving mass and energy, and we will see how it<br />

relates to the ongoing experiment to improve our<br />

training and our success in martial arts.<br />

Mass, Speed & Energy<br />

At the heart of the physics of martial arts is<br />

a simple equation for calculating kinetic energy.<br />

We can think of any of the strikes and blocks<br />

in martial arts in terms of energy. Energy just<br />

means how much work something can do—<br />

meaning the size of an object it could move and<br />

how far it could move it. The “kinetic” part of<br />

kinetic energy comes from the Greek word for<br />

motion. Kinetic energy is the amount of work<br />

something can do because it is in motion. The<br />

equation for the kinetic energy of an object<br />

is:<br />

KE = ½ m.v 2<br />

In this equation, m stands for the<br />

mass of an object, and v stands for its<br />

speed.<br />

There are a couple of important things to<br />

notice right away. The first is that the kinetic<br />

energy of an object depends on both its mass and<br />

its velocity (speed). In physics, the velocity means<br />

both the speed and direction of an object. But<br />

since we are looking simply at forward movement<br />

in these cases, it works better to use speed and<br />

velocity interchangeably.<br />

The second thing to notice is that the velocity<br />

counts for significantly more than the mass. To<br />

appreciate the impact of the difference, let’s look<br />

at three different scenarios. The first is throwing<br />

a baseball at 40 miles per hour (mph); the second<br />

would be increasing the size by 40 percent , such<br />

as throwing a softball at 40 mph; and the third<br />

scenario would be increasing the speed by 40<br />

percent, like throwing a baseball at 56 mph.<br />

1. Baseball @ 40 mph:<br />

½ . (.1417kg) . (17.8 meters/second) 2 = 22.44<br />

Joules ( J)<br />

2. Softball @ 40 mph:<br />

½ . (.2kg) . (17.8 m/s) 2 = 31.93 J<br />

3. Baseball @ 56 mph:<br />

½ . (.1417kg) . (25.03 m/s) 2 =<br />

44.39 J<br />

Joules is a measurement<br />

of energy. By comparing<br />

these numbers we<br />

can see that increasing<br />

the mass by 40 percent<br />

64 November 2009 / taekwondotimes.com

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