Chapter 3 Acceleration and free fall - Light and Matter
Chapter 3 Acceleration and free fall - Light and Matter
Chapter 3 Acceleration and free fall - Light and Matter
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126 <strong>Chapter</strong> 4 Force <strong>and</strong> motion<br />
it seem that the phenomena might have more in common than had<br />
been apparent. In the Newtonian description, there is only one cause<br />
for a change in motion, which we call force. Forces may be of different<br />
types, but they all produce changes in motion according to the<br />
same rules. Any acceleration that can be produced by a magnetic<br />
force can equally well be produced by an appropriately controlled<br />
stream of water. We can speak of two forces as being equal if they<br />
produce the same change in motion when applied in the same situation,<br />
which means that they pushed or pulled equally hard in the<br />
same direction.<br />
The idea of a numerical scale of force <strong>and</strong> the newton unit were<br />
introduced in chapter 0. To recapitulate briefly, a force is when a<br />
pair of objects push or pull on each other, <strong>and</strong> one newton is the<br />
force required to accelerate a 1-kg object from rest to a speed of 1<br />
m/s in 1 second.<br />
More than one force on an object<br />
As if we hadn’t kicked poor Aristotle around sufficiently, his<br />
theory has another important flaw, which is important to discuss<br />
because it corresponds to an extremely common student misconception.<br />
Aristotle conceived of forced motion as a relationship in which<br />
one object was the boss <strong>and</strong> the other “followed orders.” It therefore<br />
would only make sense for an object to experience one force at<br />
a time, because an object couldn’t follow orders from two sources at<br />
once. In the Newtonian theory, forces are numbers, not orders, <strong>and</strong><br />
if more than one force acts on an object at once, the result is found<br />
by adding up all the forces. It is unfortunate that the use of the<br />
English word “force” has become st<strong>and</strong>ard, because to many people<br />
it suggests that you are “forcing” an object to do something. The<br />
force of the earth’s gravity cannot “force” a boat to sink, because<br />
there are other forces acting on the boat. Adding them up gives a<br />
total of zero, so the boat accelerates neither up nor down.<br />
Objects can exert forces on each other at a distance.<br />
Aristotle declared that forces could only act between objects that<br />
were touching, probably because he wished to avoid the type of occult<br />
speculation that attributed physical phenomena to the influence<br />
of a distant <strong>and</strong> invisible pantheon of gods. He was wrong, however,<br />
as you can observe when a magnet leaps onto your refrigerator or<br />
when the planet earth exerts gravitational forces on objects that are<br />
in the air. Some types of forces, such as friction, only operate between<br />
objects in contact, <strong>and</strong> are called contact forces. Magnetism,<br />
on the other h<strong>and</strong>, is an example of a noncontact force. Although<br />
the magnetic force gets stronger when the magnet is closer to your<br />
refrigerator, touching is not required.