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
0.010
0.010
0.050
0.085
-0.085
0.001
0.018
0.010
0.100
0.079
-0.100
0.003
0.015
0.010
0.150
0.000
-0.238
0.007
0.012
0.010
0.200
0.055
-0.200
0.011
0.007
0.010
0.250
0.00e
-0.345
0.015
0.004
0.01e
0.300
0.021
-0.375
0.018
0.001
0.010
0.350
0.002
-0.388
0.010
0.000
0.010
0.400
-0.017
-0.379
0.018
0.001
0.012
0.450
-0.038
-0.353
0.018
0.003
0.010
0.500
-0.052
-0.309
0.012
0.007
0.01e
0.550
-0.068
-0.251
0.008
0.011
0.010
0.800
-0.077
-0.180
0.004
0.015
0.010
0.650
-0.084
-0.101
0.001
0.017
0.010
0.700
0.087
-0.018
0.000
0.010
0.010
0.750
-0.080
0.000
0.001
0.018
0.012
0.800
-0.080
0.151
0.003
0.016
0.010
0.850
-0.071
0.225
0.000
0.012
0.01e
0.000
-0.058
0.283
0.010
0.008
0.010
0.050
-0.042
0.200
0.014
0.004
0.010
1.000
-0.023
0.371
0.017
0.001
0.010
1.050
-0.008
0.308
0.010
0.000
0.010
1.100
0.014
0.382
0.018
0.000
0.01e
Which conclusion can be made?
(1 point)
As the potential energy increases, kinetic energy decreases. The total energy stays the same.
As the potential energy increases, kinetic energy increases. Total energy increases.
As the potential energy increases, kinetic energy decreases. Total energy increases.
As the potential energy increases, kinetic energy increases. Total energy remains the same.

Answer 1

As the potential energy increases, kinetic energy decreases. The total energy stays the same.

This shows energy is conserved: PE and KE trade off so their sum remains (approximately) constant.