Lecture 12
February 10,
1997
Physics 1000
|
Reading Assignment:
Chapter 6 of Tippens.
Today's lecture is dedicated
to a review for tomorrow's mid-term exam. Most of the lectures is spent
discussing Word
Problems. With the two kinematical equations
that will be convered on the exam:
x = x0 + vt
v = v0 + at
there are only a few types
of questions possible. Three general kinds of questions come from the 1st
equation (velocity problems in the abstract),
and three kins of questions come from the 2nd equation (acceleration
problems in the abstract). Some examples of concrete problems are presented
here and answers are presented here.
A mastery of these problems and Problems numbers 12-1 through 12-12 at
the end of Ch. 6 in Tippens would be good material to study for the exam.
We close with two warnings.....to
be careful out there!
(1) In doing problems with
falling bodies in a vacuum (i.e., neglecting air resistance) it is important
to remember that during the body's entire
flight it is subjected to the same constant acceleration,
the acceleration of gravity, whose magnitude is about 9.8 m/s^2 in the
downward direction. This value is called 1 g. The sign on this acceleration
depends on the coordinate system chosen. If positive it up, then the acceleration
of gravity is -9.8 m/s^2. Hpwever, if positive is down, then the acceleration
of gravity is +9.8 m/s^2.
(2) In doing problems for
bodies thrown up into the air, remember two things. First, when the body
reaches its highest point, it stops instantaneously.
Thus, at its highest point velocity is momentarily zero. This does not
mean that acceleration goes to zero at this point. Warning (1) above tells
us that the body undergoes the same acceleration of gravity regardless
of its motion. Second, the flight of the body
is symmetric about its top point. That is,
at any height the velocity of the ball on the way down is equal in magnitude
but opposite in direction to the velocity of the ball on the way down.
Thus, when it comes back to its initial location it will be traveling with
the same speed as when it was released for its upward journey.
Link for the Day: Physics
1000, 1995 (See Exam 1)
Questions or comments should
be addressed to Mike Ritzwoller at ritzwoller@phys-geophys.colorado.edu
Go to Lectures in Physics 1000.
Go to Physics 1000 Home Page.