Science - Mathematics for Inventors

Science and Mathematics for Inventors and Hobbyists Working on Alternative Solutions to Problems Effecting the world.

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The physics lesson for today.

The question is how much do you weigh? So you get on your scale and see that your weight is 200 pounds, lets say.

Wrong!

The number you are looking at is your mass, not your weight. But the scale is not set up to measure mass because mass does not change noticeably due to velocities at non relativistic speeds. To prove this check your readings, with the same scale, in an accelerating elevator, the number you read would change. Confused?

Well lets describe weight, mass, and acceleration.

The equation for weight is F = m a, one of Newtons laws.

F = weight force; is measured in newtons, its symbol is N.

m = mass; is measured in kilograms.

a = acceleration; is measured in meters per seconds squared.

If you measure your weight with the home scale, while not moving, on the ground at sea level, that will give you your mass or m (more or less). The scale is really set up to read newtons but they fudge the numbers to give you your mass(more or less) if gravity is the only acceleration acting on you. They tell you and You believe it's your weight due to some bad education.

To learn your real weight, measured in newtons (N) --not fig newtons-- take the number your home scale gives you as weight, convert it to kilograms and multiply it times 9.80 .

The number you get will be your true weight measured in newtons.

Acceleration due to the earth's gravity is around 9.8 meters per seconds square.

Taking the equation from above F = m a

A mass of one kilogram multiplied by the acceleration of gravity gives you around 9.8 newtons of weight force.

9.8 newtons(F) = 1 kilogram(m) * 9.8 meters per second squared (a -- in this case g)

Very confusing to many, but only because the educational system in America feels it's necessary to tell untruths to children. Many would think my concern is just stupid, but to a child, just starting out, may feel he's at fault when things don't add up. Could things like this be the reason America is last when it comes to math and science.

Would it be so hard to think of your weight as your mass. An over weight person on the earth if you put him on the moon would weigh only one sixth as much but his health concerns would still be there because his mass did not change.

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