Transcript PASS Senior Tutorial Review

PASS Senior Tutorial Review
Using the calculator to help you.
Equation Manipulations
And Griddables
Utlilize the tools at hand. . .
• We have already explained in previous
meetings how your formula pages are of
valuable help on the test.
• Today, we will be practicing the use of the
graphing calculator you will have, for both
Math and during the Science test.
• If you must take both, you will be using the
same type of calculator on both, the TI-83.
Many of the problems can be hand
calculated with ease…
• However, always use the
calculator to double check
your arithmetic.
• Making sure that you did
the math correctly will
increase your score.
• Remember, you have all
the time you need. Doing
the problem more than
once will verify your
answer.
momentum = mass x velocity
OR
p = mv
For example, suppose
a bowling ball has a
mass of 5.9 kg and
travels at 1.88 meters
in a northward
direction. What is the
momentum of this
ball?
• Step 1: Set up the
equation: p = mv
• Step 2: Insert the given
information: In this
problem, we know the
mass of the ball (5.9 kg)
and the velocity of the ball
(1.88 meters/second
north).
• Therefore, the equation
becomes
p = 5.9 kg * 1.88 m/s
• Step 3: Solve:
= 11.09 kg- m/s north
Now, use the
calculator and
verify your
multiplication,
enter and grid
your answer, and
pay attention to
the decimal.
1
1
0
9
It is easy when the equation just
needs the numbers put in. . .
• But what happens if the
equation is not set up to
solve the problem for the
variable you want?
• Can the calculator fix the
equation for you?
• The good news is . . . YES!
Let’s try one together . . .
If a model rocket
has a momentum
of 55 kg • m/s and
a speed of 75
meters/seconds
what is the
rocket's mass?
Again, p=mv,
55 kg.m/s = m*75 m/s
How can we use the
calculator to help?
Follow step by step . . .
1. We plug in the values we know:
55 kg m/s = mass x 75 m/s
2. To put this in the calculator, use
y=
y1 = 55 AND y2 = x * 75
3. Make sure all of the PLOTS
are turned off.
4. Push GRAPH. If you have an
error message, you must set
the WINDOW, just larger than
the y1 value, (I used 60), and
press GRAPH, again.
Next, let’s calculate the answer. . .
5. Look to see the intercepts
on both lines. If not, Zoom 0
and/or Zoom 3 until you see
them both.
6. Push 2nd Trace to Calculate.
7. Push 5 to get the
intersection, and Enter.
8. Look at the bottom of the
screen, it says 2nd, push
Enter again it says Guess,
push it again, it says
Intersection!! This is your
answer!
Okay, let’s try it with another
problem. . .
•
• If a force of 2000N is
used to push a 1,300 kg
car, what is the rate of
acceleration?
•
• Our equations page
says F = ma or using
•
our numbers:
2000N = 1300 * a
• Using the calculator:
y1= 2000 and
Y2= 1300*x
Graph, New Window
(2005), Zoom 0,
Zoom 3.
Now Calculate, 5,
enter, enter, enter. . .
Your answer is:
1.538
This can be used with any 3
variable formula . . .
• The density of a wood block is
0.95 g/mL and it has a volume of
60 mL, what is the mass of the
block?
• Again y1= .95 and y2= x/60. Push
Graph.
• Can you see the x and y
intercepts? If not push Zoom 0
and/or Zoom 3 until you do. Then
• Calculate, 5, enter, enter, enter.
• And the answer is . . .
57 g
Try the next one on your own. Remember
you may have to Zoom 0 enter and Zoom 3
enter more than once!!
• At 0°C sound travels through air at a
speed of 330 m/s. If a sound wave is
produced with a wavelength of 0.10 m,
what is the wave’s frequency?
• What equation do you use?
V = frequency x wavelength
• So, y1= ? 330
• And y2 = ?.10 * X
• And the answer is? 3300 Hz
Now, make sure you use this
technology . . .