Conceptual Physics

(Sean Pound) #1
Finally, we convert to terameters per second squared, or Tm/s^2. "Tera" means 10^12.

Step Reason


6. multiply by conversion factor for terameters


1.10 - Interactive checkpoint: cheeseburgers or gasoline?


A kilocalorie is a unit used to measure food energy, and is often called a Calorie, spelled with a capital C. One calorie (small c) is equal to 4.
J (joules).

A double cheeseburger contains 591


kilocalories of energy. A gallon of


gasoline contains 159 MJ of energy.


A compact car makes 39.


miles/gallon on the highway.


Assuming that it could run as


efficiently on fast food as on gasoline,


find the number of cheeseburgers


needed to propel the car from New


York to Chicago (719 miles).


Answer:

N = cheeseburgers


1.11 - Pythagorean theorem


As you proceed through your physics studies, you will find it necessary to understand
the Pythagorean theorem, which is reviewed in this section. At the right, you see a right
triangle (a triangle with a 90° angle). The Pythagorean theorem states that the square
of the hypotenuse (the side opposite the right angle) equals the sum of the squares of
the two legs. This equation is shown in Equation 1 to the right.
There are two specific right triangles that occur frequently in physics homework
problems. In an isosceles right triangle, the two legs are the same length and the
hypotenuse is the length of either leg times the square root of two. The angles of an
isosceles right triangle are 45, 45 and 90 degrees, so it is also called a 45-45-
triangle.
When the angles of the triangle measure 30, 60 and 90 degrees, it is called a 30-60-
triangle. The shorter leg, the one opposite the 30° angle, is one half the length of the
hypotenuse. This relationship makes for an easy mathematical calculation and makes
this triangle a favorite in homework problems.

Pythagorean theorem


Relates hypotenuse to legs of right
triangle

c^2 = a^2 + b^2


c = length of hypotenuse


a,b = lengths of legs


(^14) Copyright 2000-2007 Kinetic Books Co. Chapter 01

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