An open rectangular box has a square base. If the volume must be 32 cubic inches, find the dimensions of the box with minimum surface area.
Hello everyone, this is Tom from everystepphysics.com. We’re gonna do a problem that was is in a test and asked from a customer. And relating to path of objects. So, let’s get started. Physics is my key to put in this entry line here in the calculator. To get my menu, you press enter and we’re already at path of objects.
You can see pressure, pressure gauge,pulley, radius, roller coaster; all kinds of things in this menu.
for you to pass your physics test. Path of objects. I gave you three choices. Notice that there’s they ask if they’re angle or if the velocity is given or neither is given. In this case, neither was given. So we’re gonna choose number three. You can scroll down to it or you can press the number before and I like the press the number before. And a course they gave me the the height. His ball is rolling off a table and height of the table is… We have to press alpha before you enter anything in these entry lines here. The height is
Alpha 19.6 You always put that in and I always ask you or give you the choice of what they have entered sometimes you’ll enter inches or feet, or anything. It all changes to meters and in this case meters so we’re going to choose number two. And then the distance along the ground. They say this ball drop 6 meters from the edge in the table. We’re going to press alpha 6 meters. Seemingly a simple problem isn’t it, huh? Initial Heights thats i, initial height, that’s 19.6 meters and the distance is from the table is equal to 6 meters. I’ll show you what you’ve entered so you can change it if you want. I say it’s okay. And they ask you to find the time in a air. Well, that’s the time to the ground 1.999 seconds. Basically two seconds to the ground. here’s the exact equations here. You have to find that before you can find the initial speed. Remember speed is absolute, in other words, you can’t be negative. Velocity is a vector can be negative or positive and shows direction and magnitude. Speed shows magnitude but doesn’t show any direction, etc. And of course the ball rolling off the table has to be plus, can’t be minus. And so the answer is 6.8
meters per second. Pretty neat, huh? everystepphysics.com, go to my site, buy my program and pass your physics class. Very difficult classes. And also subscribe to me so you can see future videos and blog.
This is a video from every step physics dot com demonstrating how my programs work with the t i 89 titanium calculator and other calculators in the t i system for physics and calculus problems ah this is better than physics help on line because you download the programs right into you calculator and you have all the help you need ah for what I’ve programmed which is quite a bit and let’s get started on how they work you press second alpha to put p h y s i c s in the entry line of the calculator press alpha to put the open and closed parenthesis press enter and you’re into my menu
many things here for your help on line whatever you have to
choose what you want and uhm do center of mass here
ah here’s the formula center of mass is the
sums of these ecetera and I give you the choice of
two masses or two masses in the x y plane
three masses x axis three masses x y plane
four masses x y plane let’s do number four
three masses in x y plane first mass
you have to put alpha before you enter anything into the entry
lines of my programs here alpha eight first mass
we’ll say it’s kilograms I give you that choice though
alpha twelve kilograms
and here’s the third one alpha six kilograms
first coordinate x equals four
meters second coordinate
the y alpha
let’s go minus six meters
second coordinate for the x value alpha seven
meters and then the y value
alpha minus four meters third coordinate
alpha seven meters alpha six meters
I show you the whole thing that you’ve entered so you can
change it if you want if you’ve made a mistake
we’ll say it’s ok and you’re doing the sums of these
remember and here’s the calculations
write everything down on your paper just as you see it
like you’re doing the calculations yourself center of mass is six point zero eight meters
and the x y z is equal to six point zero eight zero zero
pretty neat huh every step physics dot com
go to my site buy my programs
and pass your physics
This is a video from every step physics dot com
demonstrating how my program work on the TI-89 Titanium calculator
and other calculators in the TI system for physics and calculus problems
here’s a problem that is on many tests in physics
and ah if a bullet traveling at three hunderd fifty
meters per second strikes a steel plate
at an angle of 30 degrees as shown It recochets off
with the same angle at a speed of three hundred twenty meters
per second what is the magnitude of the impulse that
the plate gives the bullet
and in my programs ah you
find first what the problem is asking in this case it’s asking impulse
and you go to my menu and you scroll down for impulse
and then you on the side of your problem
instead of looking at it or thinking about the problem at all you just
put what’s given here which is mass
twenty grams and initial velocity
which is three hundred fifty meters per second final velocity would be
three hundred twenty meters per second and then a thirty degree angle
and here’s the picture of what’s happening and this is really vector addition
so let’s get started here ah you have to press second alpha
to put these letters in here to get to my program menu
p h y s i c s and then you have to press alpha again
to put the open and closed parenthesis and press enter and you are into my menu
I’ve scrolled down to impulse here to save some time
but you start it brings you to the top of the menu
and then you have all these other choices and uhm
we get to impulse we press enter
gives you these variables here for impulse
and right now in this problem we want the mass
the initial velocity the final velocity
and the angle we choose that
we enter your variables you have to press alpha first
before we enter any variables into the entry lines of my programs
so were going to press alpha and put down
put in twenty it also might give you kilograms or grams
in this case it gives you the bullet as grams so I’m going to put that there
it shows you you take twent and divide it by a thousand
to get point zero two kilograms which is necessary for the formula
and the initial velocity your going to press alpha
and put in three fifty that’s the way the bullet is traveling
and it’s not in centimeters it’s in meters
so were going to choose number two you can press or scroll to that choice
final velocity alpha three twenty
meters again per second and then the angle is
alpha thirty I always show you what you’ve entered
so you can change it this looks good to me
it’s been changed from grams to kilograms etcetera
and this is vector addition who would have known that
if you just saw a problem in a test ah here’s the impulse vector resultant
ah the square root of the x axis and y axis
and the I of the impulse and here’s the formula
and then we add the the all the variables
you write this on paper you don’t think about it
and the I y is six point seven newtons second
and the answer is six point seven two three one
newtons second pretty neat huh
EveryStepPhysics.com go to my site
buy my programs and pass physics