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repository:football_players [2020/02/18 00:00] porcaro1 [Answer Key] |
repository:football_players [2021/02/18 19:08] (current) porcaro1 |
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| * Cut/Copy Code. | * Cut/Copy Code. | ||
| * Modify existing code | * Modify existing code | ||
| + | * [[https://www.glowscript.org/#/user/kstedman/folder/Public/program/CollidingCars|Colliding Crates]] | ||
| ---- | ---- | ||
| ====Activity==== | ====Activity==== | ||
| ===Handout=== | ===Handout=== | ||
| + | {{ :repository:football_players_2.png?nolink&600|}} | ||
| **Inelastic Collisions** \\ | **Inelastic Collisions** \\ | ||
| - | {{ :repository:football_players.png?nolink&600|}} | + | |
| In this activity, you will be asked to complete several tasks involving what you have learned about conservation of momentum and the interaction between masses when they collide and applying this knowledge to actual computer program code. | In this activity, you will be asked to complete several tasks involving what you have learned about conservation of momentum and the interaction between masses when they collide and applying this knowledge to actual computer program code. | ||
| Line 30: | Line 32: | ||
| - What is the final velocity of Biff and Buff while still in mid-air? | - What is the final velocity of Biff and Buff while still in mid-air? | ||
| - Whose team wins the game: Biff's or Buff's? | - Whose team wins the game: Biff's or Buff's? | ||
| - | - Now modify your [[https://www.glowscript.org/#/user/kstedman/folder/Public/program/CollidingCars|Colliding Crates]] program to fit this scenario | + | - Now modify your [[colliding_crates|Colliding Crates]] program to fit this scenario |
| ===Code=== | ===Code=== | ||
| + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/FootballPlayers-Incomplete | Link]] | ||
| <code Python [enable_line_numbers="true"]> | <code Python [enable_line_numbers="true"]> | ||
| GlowScript 2.7 VPython | GlowScript 2.7 VPython | ||
| Line 41: | Line 44: | ||
| #Setting the time interval | #Setting the time interval | ||
| t=0 #I've set the initial time to zero. | t=0 #I've set the initial time to zero. | ||
| - | tf=0.940 #I've set the final time to 0, which gives the crate enough time to slide across the floor | + | tf=0.940 #I've set the final time to 0, which gives the crate enough time to slide across the floor |
| dt=0.01 #I want my time interval set at 1/100th of a time unit | dt=0.01 #I want my time interval set at 1/100th of a time unit | ||
| Line 59: | Line 62: | ||
| #This creates the graph of the kinetic energy of the crate | #This creates the graph of the kinetic energy of the crate | ||
| - | #f1 = gcurve(color=color.blue) #Setting up a graph to show the kinetic energy of the crate as a function of time | + | #f1 = gcurve(color=color.blue) #Setting up a graph to show the kinetic energy of the crate as a function of time |
| - | #for t in arange(0, 0.94, 0.01): # Time goes from 0 to 0.94 in 0.01 time intervals | + | #for t in arange(0, 0.94, 0.01): # Time goes from 0 to 0.94 in 0.01 time intervals |
| # f1.plot(pos=(t,cratev.mag**2)) | # f1.plot(pos=(t,cratev.mag**2)) | ||
| </code> | </code> | ||
| Line 66: | Line 69: | ||
| ====Answer Key==== | ====Answer Key==== | ||
| ===Handout=== | ===Handout=== | ||
| + | {{ :repository:football_players_1.png?nolink&600|}} | ||
| -Using the equation for momentum $\vec{p} = m\vec{v}$, we can plug in the known information to find Buff and Biff's respective momenta | -Using the equation for momentum $\vec{p} = m\vec{v}$, we can plug in the known information to find Buff and Biff's respective momenta | ||
| -$\vec{p}_{Buff} = (100 \text{kg})(-8 \text{m/s}) =-800 \text{kg·m/s}$ | -$\vec{p}_{Buff} = (100 \text{kg})(-8 \text{m/s}) =-800 \text{kg·m/s}$ | ||
| Line 77: | Line 81: | ||
| -See below | -See below | ||
| ===Code=== | ===Code=== | ||
| - | [[https://www.glowscript.org/#/user/kstedman/folder/Public/program/92/edit | Link]] | + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/FootballPlayers-Solution | Link]] |
| - | <code Python [enable_line_numbers="true", highlight_lines_extra="6,8,10,20,24,25,28,33"]> | + | <code Python [enable_line_numbers="true", highlight_lines_extra="6,7,8,17,20,21,22,24,25,30,32,33,34,35,36,37"]> |
| + | GlowScript 2.7 VPython | ||
| - | </code> | + | #Creating the objects |
| + | floor = box(pos=vector(0,-30,0), size=vector(160,4,12), color=color.white) #I've created the floor that the crate will slide across | ||
| + | crate1 = box(pos=vector(-40,-20,0), size=vector(20,20,5), color=color.red) #I've created the crate, along with its dimensions and initial position resting on the floor | ||
| + | crate2 = box(pos=vector(40,-20,0), size=vector(20,20,5), color=color.blue) | ||
| + | crate1m = 80 | ||
| + | crate2m = 100 | ||
| + | #Setting the time interval | ||
| + | t=0 #I've set the initial time to zero. | ||
| + | tf=10 #I've set the final time to 0, which gives the crate enough time to slide across the floor | ||
| + | dt=0.01 #I want my time interval set at 1/100th of a time unit | ||
| + | |||
| + | #Creates velocity vectors as a function of time | ||
| + | get_library('https://rawgit.com/perlatmsu/physutil/master/js/physutil.js') #The program needed to know what a motion map is defined as | ||
| + | motionMap1 = MotionMap(crate1, tf, 5, markerScale=0.1) #I want to display 5 arrows showing the motion of the crate | ||
| + | motionMap2 = MotionMap(crate2, tf, 5, markerScale=0.1) | ||
| + | |||
| + | #Giving the objects an initial velocity | ||
| + | crate1v = vec(12,0,0) | ||
| + | crate2v = vec(-8,0,0) | ||
| + | while crate2.pos.x-crate1.pos.x>20 and crate2.pos.x<70 and crate1.pos.x>-70: #I want the crate to stop before it slides off the floor | ||
| + | rate(50) #This rate can speed up or slow down the replay | ||
| + | crate1.pos=crate1.pos+crate1v*dt #I'm moving the crate by adding the change in position (cratev*dt) to the previous position (crate.pos) | ||
| + | crate2.pos=crate2.pos+crate2v*dt | ||
| + | t=t+dt #I'm updating the time | ||
| + | |||
| + | #This updates the velocity vectors | ||
| + | motionMap1.update(t,crate1v) #This updates the motion map and display of the arrows as the crate slides across the floor | ||
| + | motionMap2.update(t,crate2v) | ||
| + | |||
| + | while crate2.pos.x<70 and crate2.pos.x-crate1.pos.x<=20 and crate1.pos.x>-70: | ||
| + | rate(50) | ||
| + | crate1v = (crate1m*crate1v+crate2m*crate2v)/(crate1m+crate2m) #This determines the velocity of crate1 by dividing the total momentum by the total mass | ||
| + | crate2v = crate1v | ||
| + | crate1.pos=crate1.pos+crate1v*dt #I'm moving the crate by adding the change in position (cratev*dt) to the previous position (crate.pos) | ||
| + | crate2.pos=crate2.pos+crate2v*dt | ||
| + | t=t+dt</code> | ||
| | | ||
| ---- | ---- | ||
| - | ====See Also==== | + | |
| - | [[colliding_crates | Colliding Crates]] | + | |