How?: First, we set up the sensor gate, which calculated the velocity of the glider. Then we connected the sensor to the LabQuest, which recorded the data. We then turned on the air for the air track, this enabled our glider to slide smoothy across the track with no resistance. We pulled the rubber band back the given distances (1cm,2cm,3cm,4cm,5cm) with the glider in it. When we released the rubber band, the glider passed through the sensor which recorded the average velocity. We then plugged our results into the data table given on the website. We used this table to compare the velocity to the energy results we calculated in last week's lab.
Graph: After observing our data, we plugged our Velocity as well as Energy results into the data table on the Vernier Graphical Analysis App. This app used our data and created a liner graph and also created a best fit line.
*We then found the slope of the line which was about .2.
*Derived from "y=mx+b" we used the energy equation E=(slope)(V^)+0----->E=0.2v^
*We then needed to find the constant. We used the equation (Slope)=c(mass) ("c" being constant.)
*We were given the mass of thecart...0.4kg
* (Slope)=c(mass)
0.2=c(0.4kg)
c=1/2
*From all the equations, we were able to derive the equation for Kinetic Energy
K=1/2mv^
*Slope=1/2m ("m" being the mass of the object)
The Real World: This lab can also be related to archery in the real world. In the youtube video I posted below, the concept of energy transfer is discussed. When you pull back the arrow, you have potential energy and as soon as you let go, it is converted into kinetic energy.
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