A) Before his dad pushed him:
GPE: 40 J
KE: 0 J
Total Energy (TE) or Total Mechanical Energy: 40 J
B) Immediately after his dad pushed him:
GPE: 60 J
KE: 120 J
TE: 180 J
C) To determine how much work Timmy's dad did when he pushed him, we need to calculate the change in total mechanical energy (TE):
Work done = ΞTE = TE final - TE initial
Work done = 180 J - 40 J
Work done = 140 J
D) At the top of Timmy's path:
GPE: Highest (maximum) value, which is 60 J
KE: 0 J
TE: 60 J
E) When Timmy swings back down through the bottom of his path:
GPE: Lowest (minimum) value, which is 0 J
KE: Highest (maximum) value, which is 120 J
TE: 120 J
F) Just before Timmy lands after jumping off the swing:
GPE: 0 J (since he is no longer elevated)
KE: Maximum value depends on the height from which he jumped off (not provided in the question)
TE: Depends on the value of KE at that height (not provided in the question)
G) When Timmy hits the ground:
GPE: 0 J (since he is no longer elevated)
KE: Unknown (not provided in the question)
TE: Unknown (not provided in the question)
Please note that without specific values for the height or KE when Timmy jumps off or hits the ground, we cannot determine their exact values.