The concepts involved in Newton's three laws are so basic to understanding
the behavior of objects in the universe that they appear in almost all branches
of physics. In order for you to understand the rest of the material in this
text you should make sure that you understand Newton's three laws. Newton's
Second Law refers to acceleration, so it might help your understanding of this
chapter if you review Chapter 3 either before you begin your study of this chapter
or while you are studying this chapter. It will be difficult for you to fully
understand how to use Newton's Second Law to calculate an acceleration if you
do not understand what an acceleration really is. The basic expression for Newton's
Second Law is F = m a where F is the net force acting on
the object, m is the mass, and a is the acceleration. (In this study guide vector
quantities are identified by bold print.)
Newton's First Law tells us that an object will stay at rest or will continue
in straight line motion at a constant velocity unless it experiences an unbalanced
force. If there is no net force, there is no change in velocity. Newton's Second Law tells us how much of a change in velocity is produced
when an object experiences a particular net force. The larger the force on a
given object the greater is the acceleration, hence the greater the change in
velocity. (Remember from Chapter 3 that acceleration is the rate of change of
velocity). In the equation expressing Newton's Second Law, F = m a,
mass appears as the proportionality constant relating the acceleration to the
force. Newton's Second Law is a vector equation in which the direction of the
acceleration is the same as the direction of the net force.
A force of magnitude 1 Newton produces an acceleration of 1 m/s2 on an object
of mass 1 kilogram. We will learn in a later chapter that 1 liter (1000 cm3)
of water has a mass of 1 kilogram.
Newton's Third Law states that forces always occur in pairs with an action force
on one object always accompanied by an equal force called the reaction force
acting in the opposite direction on the second object.
Solution of problems in physics that involve forces is often made easier by
using a drawing representing the object and all the forces acting upon it. This
type of drawing is called a Free Body Diagram. The purpose for drawing a free
body diagram is to have a picture of the object, often just a simple line drawing,
with the external forces represented as vectors. The object is drawn in isolation
from all its surroundings. This means that any contacts that the object has
with other objects such as with the floor must be represented as forces. It
is often quite easy to determine the net force acting on an object once the
free body diagram has been drawn. Time taken to identify the forces and to properly
draw a free body diagram will be rewarded in the way in which it will simplify
the solution of a problem.
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