<< Chapter < Page Chapter >> Page >

The output

The output for this scenario is shown in Figure 4 .

Figure 4 . Output for an elastic collision between two pucks on friction-free ice.
Start Script u1x = 2.00 m/su1y = 0.00 m/s u2x = 0.00 m/su2y = 0.00 m/s v1x = 0.50 m/sv1y = 0.87 m/s v2x = 1.50 m/sv2y = -0.866 m/s u1 = 2.00 m/su2 = 0.00 m/s v1 = 1.00 m/s=============================== v2 = 1.73 m/sb2 = -30.00 degrees ===============================moux = 2.00 Kg*m/s movx = 2.00 Kg*m/smouy = 0.00 Kg*m/s movy = 0.00 Kg*m/smou = 2.00 Kg*m/s mov = 2.00 Kg*m/s=============================== End Script

Hopefully the comments in the script will be sufficient to explain the solution to this problem.

Perfectly inelastic collision between objects with odd angles

Listing 4 provides the description and the solution to a scenario involving a perfectly inelastic collision between two objects in a friction-free environmentmoving at odd angles. By odd angles, I mean that neither object is moving along either the x-axis or the y-axis, either before or after the collision.

Listing 4 . Perfectly inelastic collision between objects with odd angles.
<!---------------- File JavaScript03.html ---------------------><html><body><script language="JavaScript1.3">/* Obj1 with a mass of 1 Kg and an initial velocity of 3000 m/sin a direction 67 degrees north of east collides in a perfectly inelastic manner with Obj2, whose mass is also 1 Kg and whoseinitial velocity is 2000 m/s in a direction 45 degrees north of east. Calculate (1) the angle of motion of the combined bodies,and (2) the magnitude of the momentum of the combined bodies after the collision.Using conservation of momentum alone, we have two equations, allowing us to solve for two unknowns.m1*u1x + m2*u2x = m1*v1x + m2*v2x m1*u1y + m2*u2y = m1*v1y + m2*v2yVariables: m1, m2, u1, u2, v1, v2, a1, a2, b1, b2*/ document.write("Start Script</br>"); var m1 = 1;//kgvar m2 = 1;//kg var u1 = 3000;//meters per secondvar u2 = 2000;//meters per second var v1;//unknown -- to be foundvar v2;//unknown -- to be found var a1 = 67;//degreesvar a2 = 45;//degrees var b1;//unknown -- to be foundvar b2;//unknown -- to be found //Perfectly inelastic collision so v2=v1 and b2=b1//Convert angles to radians A1 = a1*Math.PI/180;A2 = a2*Math.PI/180; //B1 = b1*Math.PI/180;//unknown //B2 = b2*Math.PI/180;//unknown//Compute the x and y components of velocity u1x = u1*Math.cos(A1)u1y = u1*Math.sin(A1) u2x = u2*Math.cos(A2)u2y = u2*Math.sin(A2) //v1x = v1*Math.cos(B1)//unknown//v1y = v1*Math.sin(B1)//unknown //v2x = v2*Math.cos(B2)//unknown//v2y = v2*Math.sin(B2)//unknown /*For the special case of m2=m1=1 and v2=v1 (perfectly inelastic collision) we can simplify the equations to the following:u1x + u2x = 2*v1x u1y + u2y = 2*v1y*/ //Rearranging terms yieldsv1x = (u1x + u2x)/2 v1y = (u1y + u2y)/2//Knowing the x and y components of the final velocity, we can // find the angle and magnitude asb1 = getAngle(v1x,v1y); v1 = Math.sqrt(v1x*v1x + v1y*v1y);//Compute the momentum after the collision var Px = v1x*(m1 + m2);var Py = v1y*(m1 + m2); var Pmag = Math.sqrt(Px*Px + Py*Py);//Display the results document.write("b1 = " + b1.toFixed(1) + " degrees</br>"); document.write("v1 = " + v1.toFixed(0) + " m/s</br>"); document.write("v1x = " + v1x.toFixed(0) + " m/s</br>"); document.write("v1y = " + v1y.toFixed(0) + " m/s</br>"); document.write("Px = " + Px.toFixed(0) + " Kg*m/s</br>"); document.write("Py = " + Py.toFixed(0) + " Kg*m/s</br>"); document.write("Pmag = " + Pmag.toFixed(0) + " Kg*m/s</br>"); document.write("==============================="+ "</br>"); //Check the answer for perfect inelastic collisionv2x = v1x; v2y = v1y;v2 = v1; var moux = u1x + u2x;var movx = v1x + v2x; var mouy = u1y + u2y;var movy = v1y + v2y; var mou = Math.sqrt(moux * moux + mouy * mouy);var mov = Math.sqrt(movx * movx + movy * movy); document.write("moux = " + moux.toFixed(0) + " Kg*m/s</br>"); document.write("movx = " + movx.toFixed(0) + " Kg*m/s</br>"); document.write("mouy = " + mouy.toFixed(0) + " Kg*m/s</br>"); document.write("movy = " + movy.toFixed(0) + " Kg*m/s</br>"); document.write("mou = " + mou.toFixed(0) + " Kg*m/s</br>"); document.write("mov = " + mov.toFixed(0) + " Kg*m/s</br>"); document.write("==============================="+ "</br>"); //The purpose of this function is to receive the adjacent// and opposite side values for a right triangle and to // return the angle in degrees in the correct quadrant.function getAngle(x,y){ if((x == 0)&&(y == 0)){ //Angle is indeterminate. Just return zero.return 0; }else if((x == 0)&&(y>0)){ //Avoid divide by zero denominator.return 90; }else if((x == 0)&&(y<0)){ //Avoid divide by zero denominator.return -90; }else if((x<0)&&(y>= 0)){ //Correct to second quadrantreturn Math.atan(y/x)*180/Math.PI + 180; }else if((x<0)&&(y<= 0)){ //Correct to third quadrantreturn Math.atan(y/x)*180/Math.PI + 180; }else{//First and fourth quadrants. No correction required. return Math.atan(y/x)*180/Math.PI;}//end else }//end function getAngledocument.write("End Script");</script></body></html>

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Accessible physics concepts for blind students. OpenStax CNX. Oct 02, 2015 Download for free at https://legacy.cnx.org/content/col11294/1.36
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Accessible physics concepts for blind students' conversation and receive update notifications?

Ask