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Answer the questions based on the following data set from logger pro about a cart. It was launched on an inclined ramp when stored elastic

Answer the questions based on the following data set from logger pro about a cart. It was launched on an inclined ramp when stored elastic potential energy, in the plunger a compressed spring, is transferred into kinetic energy of the cart, then the cart moves up the ramp where it changes its kinetic energy to gravitational potential energy and back to kinetic energy before colling with a plunger again where it transfers its energy kinetic energy to elastic potential energy stored in the plunger spring, the cycle will keep repeating itself.

Time (s)X (m)Y (m)X velocity (m/s)Y velocity (m/s)KE_X (J)KE_Y (J)KE (J)PE_G (J)TME (J)
0.00-0.070.090.010.040.000.0000.000.460.46
0.03-0.070.09-0.010.010.000.0000.000.470.47
0.07-0.080.090.00-0.020.000.0000.000.470.47
0.10-0.070.090.01-0.020.000.0000.000.460.46
0.13-0.070.090.00-0.010.000.0000.000.460.46
0.17-0.070.09-0.030.000.000.0000.000.460.46
0.20-0.080.09-0.030.000.000.0000.000.460.46
0.23-0.080.09-0.050.000.000.0000.000.460.46
0.27-0.080.09-0.180.020.010.0000.010.460.47
0.30-0.080.09-0.440.050.050.0010.050.460.51
0.33-0.110.10-0.690.050.120.0010.120.480.61
0.37-0.130.09-0.820.040.170.0000.170.470.64
0.40-0.160.10-0.860.090.190.0020.190.480.67
0.43-0.190.10-0.830.090.180.0020.180.520.70
0.47-0.220.10-0.790.060.160.0010.160.520.68
0.50-0.240.10-0.810.090.170.0020.170.520.69
0.53-0.270.11-0.800.080.160.0020.170.560.72
0.57-0.300.11-0.760.050.150.0010.150.550.70
0.60-0.320.11-0.750.050.140.0010.140.560.71
0.63-0.350.11-0.710.050.130.0010.130.570.70
0.67-0.370.12-0.690.050.120.0010.120.580.70
0.70-0.400.12-0.670.060.110.0010.110.590.70
0.73-0.420.12-0.630.070.100.0010.100.600.70
0.77-0.440.12-0.620.070.100.0010.100.620.71
0.80-0.460.12-0.600.040.090.0000.090.620.72
0.83-0.480.12-0.600.050.090.0010.090.620.72
0.87-0.500.13-0.580.090.090.0020.090.640.73
0.90-0.520.13-0.550.110.080.0030.080.660.74
0.93-0.530.14-0.550.110.080.0030.080.680.76
0.97-0.550.14-0.550.080.080.0020.080.700.78
1.00-0.570.14-0.540.050.080.0010.080.700.78
1.03-0.590.14-0.490.040.060.0000.060.710.77
1.07-0.600.14-0.400.050.040.0010.040.710.76
1.10-0.610.14-0.410.080.040.0020.050.720.77
1.13-0.630.15-0.410.080.040.0020.040.750.80
1.17-0.640.15-0.330.030.030.0000.030.760.78
1.20-0.650.15-0.260.010.020.0000.020.760.77
1.23-0.660.15-0.260.000.020.0000.020.760.77
1.27-0.670.15-0.270.000.020.0000.020.760.77
1.30-0.680.15-0.270.000.020.0000.020.760.77
1.33-0.690.15-0.280.000.020.0000.020.760.78
1.37-0.700.15-0.290.000.020.0000.020.760.78
1.40-0.710.15-0.260.010.020.0000.020.760.77
1.43-0.720.15-0.170.040.010.0010.010.760.76
1.47-0.720.16-0.150.050.010.0010.010.780.78
1.50-0.720.16-0.140.030.010.0000.010.780.78
1.53-0.730.16-0.100.010.000.0000.000.780.79
1.57-0.730.16-0.07-0.010.000.0000.000.780.78
1.60-0.730.16-0.06-0.040.000.0000.000.780.78
1.63-0.730.15-0.05-0.040.000.0000.000.760.77
1.67-0.740.15-0.01-0.010.000.0000.000.760.76
1.70-0.740.150.030.000.000.0000.000.760.76
1.73-0.740.150.110.020.000.0000.000.760.77
1.77-0.730.150.150.020.010.0000.010.770.78
1.80-0.720.150.120.000.000.0000.000.770.78
1.83-0.720.150.11-0.010.000.0000.000.770.77
1.87-0.720.150.12-0.010.000.0000.000.770.77
1.90-0.710.150.12-0.010.000.0000.000.770.77
1.93-0.710.150.14-0.010.010.0000.010.760.77
1.97-0.700.150.18-0.030.010.0000.010.760.77
2.00-0.700.150.19-0.030.010.0000.010.750.76
2.03-0.690.150.18-0.020.010.0000.010.750.76
2.07-0.680.150.20-0.020.010.0000.010.750.76
2.10-0.680.150.24-0.020.010.0000.010.750.76
2.13-0.670.150.26-0.020.020.0000.020.740.76
2.17-0.660.150.28-0.020.020.0000.020.740.76
2.20-0.650.150.35-0.010.030.0000.030.740.77
2.23-0.630.150.39-0.010.040.0000.040.740.78
2.27-0.620.150.37-0.020.030.0000.030.730.77
2.30-0.610.150.34-0.030.030.0000.030.730.76
2.33-0.600.140.37-0.030.030.0000.030.720.76
2.37-0.590.140.43-0.030.050.0000.050.720.77
2.40-0.570.140.42-0.040.040.0000.040.710.75
2.43-0.560.140.42-0.060.040.0010.040.710.76
2.47-0.540.140.42-0.090.050.0020.050.690.74
2.50-0.530.140.47-0.100.060.0030.060.680.73
2.53-0.510.130.54-0.110.070.0030.080.660.74
2.57-0.490.130.56-0.100.080.0020.080.640.72
2.60-0.470.120.52-0.040.070.0000.070.620.69
2.63-0.460.130.62-0.010.100.0000.100.630.73
2.67-0.430.130.73-0.030.140.0000.140.630.76
2.70-0.410.120.68-0.050.120.0010.120.610.73
2.73-0.390.120.64-0.050.110.0010.110.610.71
2.77-0.370.120.64-0.050.100.0010.110.590.70
2.80-0.350.120.69-0.030.120.0000.120.590.71
2.83-0.320.120.69-0.040.120.0000.120.590.71
2.87-0.300.120.70-0.080.130.0020.130.580.71
2.90-0.280.110.74-0.100.140.0030.140.560.70
2.93-0.250.110.78-0.080.160.0020.160.540.70
2.97-0.220.110.82-0.110.170.0030.170.540.72
3.00-0.190.100.79-0.100.160.0020.160.500.66
3.03-0.170.100.79-0.060.160.0010.160.510.67
3.07-0.140.100.77-0.050.150.0010.150.480.63
3.10-0.120.100.660.000.110.0000.110.480.59
3.13-0.090.100.36-0.010.030.0000.030.490.52
3.17-0.090.10-0.12-0.010.000.0000.000.480.48
3.20-0.110.10-0.410.010.040.0000.040.480.53
3.23-0.120.10-0.470.010.060.0000.060.480.54
3.27-0.140.10-0.510.020.070.0000.070.490.55
3.30-0.160.10-0.460.060.050.0010.060.480.54
3.33-0.170.10-0.390.070.040.0010.040.510.55
3.37-0.180.10-0.430.040.050.0000.050.510.56
3.40-0.200.10-0.430.010.050.0000.050.520.57
3.43-0.210.10-0.390.010.040.0000.040.510.55
3.47-0.220.10-0.360.020.030.0000.030.520.55
3.50-0.240.10-0.330.010.030.0000.030.520.55
3.53-0.250.11-0.330.000.030.0000.030.530.56
3.57-0.260.10-0.330.000.030.0000.030.520.55
3.60-0.270.11-0.270.020.020.0000.020.530.55
3.63-0.270.11-0.240.020.010.0000.010.530.54
3.67-0.280.11-0.230.030.010.0000.010.530.54
3.70-0.290.11-0.210.030.010.0000.010.540.55
3.73-0.300.11-0.150.020.010.0000.010.540.55
3.77-0.300.11-0.100.010.000.0000.000.540.55
3.80-0.300.11-0.110.000.000.0000.000.540.55
3.83-0.310.11-0.130.010.000.0000.000.540.55
3.87-0.310.11-0.130.020.000.0000.000.550.55
3.90-0.320.11-0.110.020.000.0000.000.550.55
3.93-0.320.11-0.050.020.000.0000.000.560.56
3.97-0.320.11-0.020.010.000.0000.000.560.56
4.00-0.320.11-0.020.010.000.0000.000.560.56
4.03-0.320.110.000.010.000.0000.000.560.56
4.07-0.320.110.070.010.000.0000.000.560.56
4.10-0.320.110.12-0.020.000.0000.000.570.57
4.13-0.310.110.11-0.030.000.0000.000.550.56
4.17-0.310.110.10-0.010.000.0000.000.550.55
4.20-0.310.110.12-0.010.000.0000.000.550.56
4.23-0.300.110.18-0.030.010.0000.010.550.56
4.27-0.290.110.22-0.030.010.0000.010.540.55
4.30-0.290.110.19-0.020.010.0000.010.540.55
4.33-0.280.110.15-0.020.010.0000.010.530.54
4.37-0.280.110.150.000.010.0000.010.530.54
4.40-0.270.110.210.000.010.0000.010.530.55
4.43-0.260.110.260.000.020.0000.020.530.55
4.47-0.250.110.280.000.020.0000.020.530.56
4.50-0.240.110.32-0.010.030.0000.030.530.56
4.53-0.230.110.33-0.020.030.0000.030.530.56
4.57-0.220.110.31-0.030.020.0000.020.530.55
4.60-0.210.100.30-0.030.020.0000.020.520.54
4.63-0.200.100.40-0.040.040.0000.040.520.56
4.67-0.180.100.44-0.030.050.0000.050.500.56
4.70-0.170.100.43-0.010.050.0000.050.500.55
4.73-0.160.100.42-0.010.040.0000.040.500.55
4.77-0.140.100.40-0.010.040.0000.040.500.54
4.80-0.130.100.40-0.010.040.0000.040.500.54
4.83-0.120.100.39-0.030.040.0000.040.500.54
4.87-0.100.100.28-0.020.020.0000.020.490.51
4.90-0.090.10-0.070.010.000.0000.000.490.49
4.93-0.110.10-0.330.010.030.0000.030.500.53
4.97-0.120.10-0.36-0.010.030.0000.030.500.53
5.00-0.130.10-0.34-0.010.030.0000.030.490.52

image text in transcribedimage text in transcribed
Questions - 1. Estimate the total mechanical energy when the cart was going up and down the ramp the first time. 2. Estimate the total mechanical energy when the cart was going up and down the ramp the second time. 3. How much mechanical energy was converted to thermal energy during the collision when the cart hits the barrier at the bottom after going up and down the ramp the first time? 4. What percentage of mechanical energy was lost during this collision (relative to the mechanical energy before it hit the barrier)

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