2/19 AP: More momentum problems.

photo showing cue ball breaking a triangle of billard balls

It looks like I’ll be back on Thursday. Still a rough throat, but the doc thinks I’ll be ready by then. I’ll probably have a wireless mic so I don’t have to strain my voice 😊 .

You might also find these instruction helpful.

Problem 25, Page 183

I hope to post some videos showing how to solve yesterday’s assigned problems, but here are a few others that might be helpful.

Elastic collisions
Elastic vs inelastic collisions.

2/18 AP: Conservation of momentum book problems

animated gif showing Collision carts m1 greater than m2

Book reading/review

  • Review 6.2 Conservation of Momentum, pages 166-168
  • Read 6.3 Collisions, pages 168-175
    • Pay particular attention to the Problem-Solving Strategy method described on page 173.

Problems (pages 182-184)

Remember that only when a collision is described as elastic can you use conservation of kinetic energy.

6.2 Conservation of momentum

Problems 19, 20, 21

6.3 Collisions & Glancing collisions

Problems 25, 27, 28, 29, 31

animated gif showing Collision carts m1 greater than m2

2/13 AP: p and K spreadsheet calculations

Photo showing two cars that collided front to side

Today you will finish your spreadsheet calculations.

Remember, momentum is a vector, so some of your velocities will be negative. Be sure to include these, and that they match the relative directions of your carts.

  • Start with one trial and:
    • Use formulas in the spreadsheet to calculate p, K, Δ , %, etc.
    • Once you have the trial with correct formulas, copy/paste those to all your other trials.
  • For Δ in p and K, we always use (final-initial).
  • For percent, we want to know the percent change, so use ( Δ / initial)
  • Add some colors to make it easier to read

Averaging explosions calculations

Problem

Since we want to calculate percent as compared to the initial, and the initial p and K are zero, we can’t divide by the initial. Instead, use the following formula (all momentum values are the final values, since the originals are all zero)

Solution

Rationale

Numerator: If momentum is conserved, then pa + pb should equal zero (one value being negative), so the numerator in our traditional change/original calculation would be zero.

Denominator: We would want the denominator to represent some value we are comparing to, so let’s chose the average of the two momenta…but since one is positive and the other is negative, we need to take the absolute value of each before averaging them.

And finally…

If your group was not able to collect any data, please use the following spreadsheet and save a copy for your group. bit.ly/VHSmomentum

Here’s a video about momentum and kinetic energy in car crashes for your enjoyment:

2/12 AP: Final momentum lab day

Screenshot of a spreadsheet

OK, unless I get hit by a truck, I will be back on Thursday.

Today, please work together to help all students complete their data collection and analysis Data analysis should include:

  • Description of each type of collision/explosion you created.
  • A list of the percent momentum and percent kinetic energy lost during each event.
    • Hint: Once you get your data entered into your spreadsheet, you should be able to calculate momentum and kinetic energy from the same cells for each event.
    • This is where consistency in your layout makes formula (equation) writing easy. Once you write the formula, just copy/paste to the needed cells.
  • Calculate the average momentum and kinetic energy lost for all your events.

Remember to submit your spreadsheets below. I’m still missing a few.

2/11 AP: More on momentum

'Gritty people train at the edge of their comfort zone.'

My lengthy illness (severe sore throat, doc says it’s not coronavirus, but I did get tested for strep today) has presented an opportunity that I have always wanted to do, but never had the nerve to go through with:

Set a class to work on a topic and let them work it out with each other until they have it right, with no instruction from me (well, I have provided direct instruction last Monday and Tuesday, as well as some online videos and other tips).

I see you get down to work on whiteboards to solve problems from the book, but when you get your hands on equipment, many of you get frustrated when it gets hard.

Today’s the day to put all your brains together!

  • If your group has a lot done, collaborate with other groups to help them along.
  • Ask yourself what it is you are trying to measure, then decide how the equipment will get you that measurement.
  • Don’t worry about making a mistake; you may have to repeat yourself, but you can’t really break the equipment.

In the end, if you can work your way through this somewhat complex experiment, the ‘grit’ and collaborative skills you develop will be much more valuable than any physics you learn in here.

Don’t give up! You are all intelligent people who can figure it out.

You’ve probably heard about grit and perseverance, but here’s a short video that you might want to watch for more info:

“Gritty people train at the edge of their comfort zone.”

Here’s a video to show you two different ways to think about momentum, using Newton’s laws and Galilean relativity.

Here’s one telling you all about the units and equation for momentum.

2/10 AP: Momentum lab spreadsheet

Screenshot of a spreadsheet

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).

Screenshot of a spreadsheet
Here’s a screenshot of the template. There are no formulas written, so you will have to write those yourself. Remember that each students needs to have their own copy of the spreadsheet.

2/7 AP Phys: Analyzing data

Image showing carts and photogates

Data collection

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.

2/6 AP: Collecting momentum data

Image showing carts and photogates

Yesterday

Yesterday you had time to develop your skills at collecting data with the Vernier Photogates and/or Motion sensor. Today it’s time to collect the data.

Today

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

Image showing carts and photogates
  • 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.

2/5 AP: Tips on Vernier photogates

Phhoto of Vernier photogate

Tips to support data collection for yesterday’s lab.

Photogates

Phhoto of Vernier photogate

The Vernier Photogates use a beam of light to detect objects between the two ‘arms.’ LoggerPro identifies the gate state as “Open” or “Closed.”

  • Open implies that nothing is blocking the light beam
  • Closed implies there is something blocking the light beam.

In most cases, we want to know the time that the gate is closed.

Determining the speed of an object that passes through the photogate

Attach a photogate to a ringstand, then adjust it so a flag mounted on your cart will break the beam of light.

Measure the length of the object that will pass through photogate. When the object passes through the photogate, it measures how long the beam is blocked. The object’s speed (at the position of the photogate) is determined by dividing the length of the object by the blocked time.

This video should walk you through setting up Logger Pro for ‘gate timing.’ The interface she uses different than our LabQuest Mini, but the sensor set up should be the same.

Remember that you will need to attach both photogates, so you can get the velocity of each cart.

More detailed information on the photogates can be found on Vernier’s website.

Here’s a video with more deep background on how the Photogate works.

2/4 AP: Impulse and momentum labs; 1 dimension

Photo showing two cars that collided front to side

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.

  1. Prelab discussion (much yesterday)
  2. Part 1: Qualitative construction of momentum
  3. Part 2: Collision of Carts
  4. Part 3: “Explosion” of Carts
  5. 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):

animated gif showing a moving cart colliding with a stationary cart
animated gif showing an inelastic collision where two carts stick together
  1. 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.
  2. Determine the uncertainty in each of your measurements.
  3. Plan out at least four different types of collisions. This may involve
    • Initial directions
    • Masses
  4. Develop a data table to record your data for all your variations.
  5. Run your trials.
  6. Analyze your data
  7. 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!