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PHCC 141: Physics for Scientists and Engineers I - Fall 2007
1a. Units and Vectors
Due at 11:59pm on Thursday, August 23, 2007
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correctly answering a question in a Part, or correctly answering a question in a Hint.
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REMINDER: DO THE INTRODUCTION TO MASTERING PHYSICS ASSIGNMENT FIRST - It is required for you to get credit
for subsequent assignments.
Scientific Notation
A number written in scientific notation has the form
, where
and
is an integer.
Part A
Consider the expression
. Determine the values of
and
when the value of this expression is written in scientific
notation.
Hint A.1
A walk-through
Hint not displayed
Enter
and
, separated by commas.
ANSWER:
,
=
5,-2
These problems concern vector components
Vector Components--Review
Learning Goal:
To introduce you to vectors and the use of sine and cosine for a triangle when resolving components.
Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable
calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and
fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or
about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector
quantities, resolving vectors into components is
the most important skill
required in a mechanics course.
The figure shows the components of
,
and
, along the
x
and
y
axes of the coordinate system, respectively. The components
of a vector depend on the coordinate system's orientation, the key being the angle between the vector and the coordinate axes,
often designated
.