Write the equation for kinetic energy and for momentum.
Video
As you watch the following video, take notes in your bookends sheet (use the Friday row and the “Three things I learned…” section). You should be able to describe the phrase “crumple zones” as it relates to cars.
Hi all. I’m out for another day or two (extreme sore throat, no, not caronavirus!) From the feedback I’ve received on Remind, it looks like most groups have completed, or are successful at gathering, the data.
Please take Monday to complete gathering data and entering it into a spreadsheet.
I’m proud of you all working together to figure out how to work the photogates and collect the data. It’s unusual for you to have this many days without your regular teacher, and it seems you are doing a great job.
It looks like some of you tried to copy the spreadsheet template on Friday, but were not logged in to your school account. I have set the sharing so you can now access it from any Google account. Click here if you need it.
Today: Enter a link to your spreadsheet in the form at the bottom (even if you have not completed it).
Please finish data collection for both collisions an explosions. Remember that an explosion uses the spring on one cart, and both carts start with zero momentum.
Data analysis
Analyze all your trials, calculating the momentum and kinetic energy changes for each scenario. If you would like, you can use a Google spreadsheet template here.
Each member of the group needs to make their own spreadsheet. If you prefer to use Excel, you can download the Google Sheet as an Excel spreadsheet.
Homework
Complete all the data analysis in a spreadsheet, and develop a conclusion about the conservation of momentum and kinetic energy in each of your scenarios.
Review your lab goals and procedures from Tuesday’s description. Your goal today is to collect pre- and post- collision data for both of your carts in four different variations (e.g. changing the mass, changing the velocity, changing the direction of the cars).
Data collection
Set up your ramp so you can record the data both before and after the collision.
Before you start collecting data, make a bullet list of all the variables you will measure. Include the following for each variable:
where you will find that number (on what device)
the units for each measurements
the uncertainty of each measurement (remember that with digital readouts, we assume ±1 of the lowest decimal place provided by the measuring device).
Create a data table in your lab book, including three trials for your four different collision types.
Collect your data, then enter it into a Google or Excel spreadsheet (we will want to do more processing of the data than Desmos can handle, although you may want to ‘copy and paste’ the data into Desmos later for plotting).
After you have completed collecting data for your four collisions, start with your explosion data collection if you have time.
These labs will take about three days to complete. Tuesday will be preparing/practicing. Wednesday will be completing Part 2 and 3. Thursday will be sharing your trends/conclusions with the class, where we will look for overall trends/conclusions.
Prelab discussion (much yesterday)
Part 1: Qualitative construction of momentum
Part 2: Collision of Carts
Part 3: “Explosion” of Carts
Postlab discussion
Part 2: Collision of Carts
You will be provided with two carts and various masses. You will need to measure the speed of the carts right before they collide and right after they collide.
Working with your group (record all in your lab book):
Develop a method of measuring/calculating the velocity of two carts right before and after they collide.
Practice with your method until you are confident you can accurately measure the needed velocities.
Determine the uncertainty in each of your measurements.
Plan out at least four different types of collisions. This may involve
Initial directions
Masses
Develop a data table to record your data for all your variations.
Run your trials.
Analyze your data
Present trends in a reflection section.
Part 3: Explosions
Explosions are defined as interactions where the initial velocity of each cart is zero.
Repeat the steps you used for Part 2
Video tutorial
Just a fun video showing Newton’s Cradle made with bowling balls!
Momentum is a conserved property of a system. This conservation can be demonstrated by using Newton’s third law (Fa/b = -Fb/a) to develop the equation:
mΔva + mΔvb = 0
Momentum is given the lowercase p as its symbol.
The change in momentum (Δp) of an object is defined as impulse.
Impulse = Δp = mΔv = FΔt
Keep in mind that while momentum depends on the same variables as kinetic energy (mass and velocity), momentum and kinetic energy are not the same thing.Momentum is always conserved, but, while energy is conserved, it can move from kinetic storage storage to gravitational, elastic, thermal, etc.