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Conservation of Energy Calculations. The attached first page is all my data, I n

ID: 3280881 • Letter: C

Question

Conservation of Energy Calculations. The attached first page is all my data, I need to find the missing components (Work in J, potential Energy in J, kinetic Energy in J, theoretical velocity, and percent error. Last two pages of lab are also provided for reference purposes.

Questions:

Data Table Part A) For Trials 1, 2, and 3, calculate Potential Energy, Kinetic Energy, and % Error using Conservation of Energy equations with given data.

Data table Part B) For Trial 1, calculate Work, Kinetic Energy, and % Error using Conservation of Energy equations with given data.

Data table Part C) For Trial 1, find theoretical velocity and % Error.

Data table Part D) For Trial 1, calculate Potential Energy, Kinetic Energy, and % Error using Conservation of Energy equations with given data.

Data far A) Mass of gliderm 0.Se3k m, (k , 655 k .53 o.17 0.24 o.3i o.98 1So 1.47 (PE) 10 0.3 0.2S o-2 1.37 .54 1.7 2 2 Data Part B: Actval mass black bar 4973 0.96 Data rut c. mls .68 Data Paut D KE na | 0.2

Explanation / Answer

Part A

Part B

Now mass=0.5013+0.4973=0.9986 Kg

Without knowing the actual value of energy we can't know the % error

Part C

In order to calculate the theoretical velocity you need to measure the height of the 50g hanging mass before and at rest and after the cart reaches the photogate.

Part D

At the release point KE=0 and PE= mgh=0.9986*10*0.2=1.9972 J

Hence total Energy =KE + PE = 1.9972 J

At the photogate the velocity= 1.28m/s

KE=1/2*0.9986*1.2^2 =0.718992

PE= Total energy - KE =1.9972-0.718992 =1.278208 J

Trial x(m) PE(J) V(m/s) KE(J) Total(KE+PE)   % error Average 1 0.3 0.30555 1.37 0.470445 0.775995 -5.36443 2 0.25 0.212188 1.54 0.594442 0.806629 -1.62848 0.819982 3 0.2 0.1358 1.72 0.741523 0.877323 6.992911
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