Introductory Physics
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 e1-04 Efficiency of a Cart and Track

Your Mission:
To determine the efficiency of a simple system.

 

 

In this lab you will look at an cart moving down an inclined plane and determine it's efficiency. To do this you will have to calculate the total amount of energy that the cart has at the top of the ramp (Gravitational Potential Energy) and compare it to the amount of energy at the bottom (Kinetic Energy)

 

 

 

To gather the data for this lab you will have to use logger pro and photo gates connected to a Lab Pro.  Photo gates are essentially a light beam that when broken can record a time.  To determine final velocity, you will use this instrument to determine the time that a 2.5cm "picket fence" passes through the beam.  This will allow you determine the cart's final velocity.

Using one group member's computer, plug into a lab pro.  Often, the machine will have to load a driver to run this device, but this should be done automatically.  Once set up, click on photogate.cmbl and the a logger pro window will open up on your computer. You should now be set to collect data.

Once set up, place your cart on the top of the track.  Measure the perpendicular distance from the black mark on the cart of the cart to the desk. From this value subtract the height of the finish line i.e. from below the photogate to the desk (remember the potential energy is proportional to the total 'height' drop of the cart).  This will allow you to calculate the “total” potential energy of the system.

MAKE SURE THAT WHEN THE CART IS NOT ON THE TRACK IT IS FLIPPED ON ITS SIDE SO IT DOES NOT ROLL OFF THE DESK.  ALSO, THESE CARTS HAVE MAGNETS IN THEM - DO NOT BRING THEM NEAR YOUR LAPTOP.

From this height, first press the "collect button" on logger pro and then release the cart.  Use the time data from logger pro to calculate the final velocity of the cart once it reaches the end of the track. To do this you must take the length of the picket fence gap breaching the photo gate (0.025m) and divide it by the time it took to pass through them (i.e. v=d/t).  Use this to information calculate the “useful” kinetic energy.  Be sure that this paper strip do not, at any time, rub or strike the photo gate. Make sure that you do not allow the cart to "CRASH" into the end of the cart. Catch it before the end being sure that it does not cross the photo gate again.

Take two trials for your cart for four separate heights and record this data in the table below. 

Table 1: Cart Trial Data

Trial Number

Height

Time through Photo Gate

Final Velocity of Cart

 

 

 

 

Once complete, clean up all of your desk leaving it as you found it at the start of the lab.

Taking the “average” efficiency of your two trials from each height and place it in another table (Table 2: Average Efficiencies for Cart Trials).  From this data, plot an “Efficiency vs. Height” graph using “Graphical Analysis”.

Using Graphical Analysis

You will be doing a significant amount of graphing in Grade 11 physics this year.  As such, it is important that you familiarized yourself with "Graphical Analysis".

First open the program and enter in your data into the table of the left side of the screen.  As you do so, a graph will begin to appear.

 

Be sure to add a title and remove the connecting line between points from the “Graph Options menu.  To do this, right mouse click on the graph and then select “Graph Options”.  The following window will appear where you can type in a suitable title and deselect “connect points”.

You also want to make sure that the graph is charted showing the origin (0,0)  To do this, click on the "Axes Options" in the graph properties. Change the "y scaling" to "Manual" and set it from 0-110.

Make sure that you label the axes.  To do this, double click on the column headers in the table containing your entered data.  The following window will pop up and you can type in the appropriate axes labels.

Lastly, add a line of best fit to your graph.  In the toolbars on the top of the window there is a curve fit button .  Click this and add an appropriate trend line.

Questions:

  1. Using clear calculations with the proper D.E.S.S. format and a diagram, calculate the efficiency of your system for each trial (you only have to show one COMPLETE sample calculation – include a sample calculation for velocity).  The mass of the cart is 357g.
     

  2. The mass of the cart is given, but it is not really necessary to determine the efficiency of the system.  Explain why.
     

  3. What relationship did your expect on your graph; i.e. would the efficiency of your cart change if you altered the “pitch” or “angle” of your track?  Explain by referring to the data obtained in your graph.
     

  4. Do your results make sense? Are they accurate? Explain why or why not by citing information provided in your graph (i.e. RMSE, slope etc.) and possible errors.

Instructions:
In a word document,
include the two tables from the lab, a copy of the graph and COMPLETE answers to the questions.

Be sure to include your name and DO NOT include the questions in your assignment (it will show up as plagiarized on www.turnitin.com).

Submit to www.turnitin.com as instructed in class..