How Energy Decay We Used Multiple Setups Of Two Different Types Of Experiments

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Summary

To investigate and more fully understand aspects of energy decay we used multiple setups of two different types of experiments. The first type of experiment was conducted on a concave up parabolic hot wheels track. The Hot Wheels car was released on one side of the track and filmed as it oscillated to a stop at the bottom of the parabola. We extracted kinetic and potential energy values as the car cycled and came to a stop. Summing these values together with respect to time helps us to see how much of the cars original potential energy is lost through friction as it travels down the track. The second type of experiment simulates a rollercoaster coming down a hill, converting its potential energy into kinetic energy, and
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Figure 1. Depiction of the setup for the experiment investigating energy decay of a Hot Wheels car on a track.
After collecting the energy decay data from the experiment depicted in figure 1, the time stamps were modified to create an adjusted time starting at 0 seconds along with adjusted lengths on the x and y axis. This was to correct the data gathered to represent a more controlled experiment. Then equation 2 was used to determine the potential energy of the car at each time interval using the adjusted data. Following this equation 3 was used to determine the kinetic energy. Using the results of equation 2 and 3 equation one was used to determine the total energy in the system.

E=U_g+K E=mgh+ (mV^2)/2 Equation (1)

U_g=m*g*h Equation (2)

K= (m*V^2)/2 Equation (3)

Equation 4 was used to determine the exponential decay where d represents the percent decay. The percent decay is shown as a trendline on a graph of the total energy over time in the system as shown in figure 3. The percent decay was determined by changing the values until the trendline best fit the data in the scatterplot of figure 3. Data was collected from three different trials of the experiment and separate calculations were done in all three trials.

E(t)=E_0 e^(-(d/100)t) Equation (4)

The following are variables used in equations 1-4.

E –

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