Question

A student creates a computational model of the energy changes experienced by a pendulum.

Time (s) Angle (rad) Angular Velocity (rad/s) Kinetic Energy (J) Potential Energy (J) Total Energy (J)
0.00 0.087 0.000 0.000 0.019 0.019
0.050 0.085 -0.085 0.001 0.018
0.019

0.100

0.079 -0.166 0.003 0.015 0.019
0.150 0.069 -0.238 0.007 0.012 0.019
0.200 0.055 -0.299 0.011 0.007 0.019
0.250

0.039 -0.345 0.015 0.004 0.019
0.300 0.021 -0.375 0.018 0.001 0.019
0.350 0.002 -0.386 0.019 0.000 0.019
0.400 -0.017 -0.379 0.018 0.001 0.019
0.450 -0.036 -0.353 0.016 0.003 0.019
0.500 -0.052 -0.309 0.012 0.007 0.019
0.550 -0.066 -0.251 0.008 0.011 0.019
0.600 -0.077 -0.180 0.004 0.015 0.019
0.650 -0.084 -0.101 0.001 0.017 0.019
0.700 -0.087 -0.016 0.000 0.019 0.019
0.750 -0.086 0.069 0.001 0.018 0.019
0.800 -0.080 0.151 0.003 0.016 0.019
0.850 -0.071 0.225 0.006 0.012 0.019
0.900 -0.058 0.288 0.010 0.008 0.019
0.950 -0.042 0.338 0.014 0.004 0.019
1.000 -0.025 0.371 0.017 0.001 0.019
1.050 -0.006 0.386 0.019 0.000 0.019
1.100 0.014 0.382 0.018 0.000 0.019
Which conclusion can be made?

(1 point)
Responses

As the potential energy increases, kinetic energy decreases. Total energy stays the same.
As the potential energy increases, kinetic energy decreases. Total energy stays the same.

As the potential energy increases, kinetic energy decreases. Total energy increases.
As the potential energy increases, kinetic energy decreases. Total energy increases.

As the potential energy increases, kinetic energy increases. Total energy stays the same.
As the potential energy increases, kinetic energy increases. Total energy stays the same.

As the potential energy increases, kinetic energy increases. Total energy increases.

Answer 1

The correct conclusion that can be drawn from the data provided is:

**As the potential energy increases, kinetic energy decreases. Total energy stays the same.**

This is consistent with the principle of conservation of mechanical energy in a pendulum, where the total mechanical energy (kinetic energy + potential energy) remains constant as the pendulum swings, assuming negligible air resistance and friction losses.

In the data, as the angle of the pendulum increases (which corresponds to a higher position), the potential energy increases while the kinetic energy decreases, and the total energy remains constant at approximately 0.019 J throughout the observations.