Experiment Work Energy with Computers i have this data sheet and i needed help w

Question

Experiment Work Energy with Computers

i have this data sheet and i needed help with question #1,2 below for this lab.

Data sheet

mass (g) xo xf vo vf work(n*m)

50 0.011 0.433 0.6951 0.5589 0.1894

70 0.011 0.440 0.026 0.660 0.2651

100 -0.017 0.361 0.0579 0.740 0.3202

150 -0.010 0.322 0.075 0.844 0.4310

Mass of Cart : 1224.7 grams

CALCULATIONS AND ANALYSIS

1. Make a table with the following columns: Hanging Mass, Initial Velocity, Initial Kinetic Energy of the Cart, Final Velocity, Final Kinetic Energy of the Cart, Change in Kinetic Energy of the Cart, and Work Done by the Tension Force. Complete the table for your 4 hanging mass values.

2. How does the change in kinetic energy of the cart compare to the work done by the tension force for each run? Compute the percent difference for each case

Explanation / Answer

Change in KE of cart = 1/2*m*vf^2 - 1/2*m*vo^2

= 1/2*m*(vf^2 - vo^2)

For case1 :

Change in KE = 1/2*1.2247*(0.5589^2 - 0.6951^2) = -0.1046 J

For case 2:

Change in KE = 1/2*1.2247*(0.66^2 - 0.026^2) = 0.2663 J

For case 3:

Change in KE = 1/2*1.2247*(0.74^2 - 0.0579^2) = 0.3333 J

For case 4:

Change in KE = 1/2*1.2247*(0.844^2 - 0.075^2) = 0.4328 J

Work done by tension force = mg*(xf - xo)

For case 1:

Work done by tension force = 1.2247*9.81*(0.433 - 0.011) = 5.07 J

For case 2:

Work done by tension force = 1.2247*9.81*(0.44 - 0.011) = 5.1541 J

For case 3:

Work done by tension force = 1.2247*9.81*(0.361 - -0.017) = 4.5414 J

For case 4:

Work done by tension force = 1.2247*9.81*(0.322 - -0.010) = 3.9887 J

2)

For case 1:

Change in KE / Work done = -0.1046 / 5.07 = -0.0206

For case 2:

Change in KE / Work done = 0.2663 / 5.1541 = 0.05167

For case 3:

Change in KE / Work done = 0.3333 / 4.5414 = 0.07339

For case 4:

Change in KE / Work done = 0.4328 / 3.9887 = 0.1085

For case 1:

% difference = (5.07 - -0.1046)*100 / 5.07 = 102.06 %

For case 2:

% difference = (5.1541 - 0.2663)*100 / 5.1541 = 94.83 %

For case 3:

% difference = (4.5414 - 0.3333)*100 / 4.5414 = 92.66 %

For case 4:

% difference = (3.9887 - 0.4328)*100 / 3.9887 = 89.14 %

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