A 31.0 kg child on a swing reaches a maximum height of 1.92 m above their rest position.

Question

Assuming no loss of energy:
a) At what point during the swing will she attain their maximum speed?
b) What will be her maximum speed through the subsequent swing?
c) Assuming this maximum height was the result of one push from her parent, what was the

Answer 1

-at the bottom (max KE)
-max KE = max GPE
1/2 (31.0) v^2 = 584 J
v^2 = 37.67
v = 6.14 m/s
-idk what the last question is

Answer 2

so max KE = max GPE, I never thought of that. Can you explain this part?

Answer 3

bc at the bottom of her swing (KE=GPE), which equals 584 J

Answer 4

Since mass is irrelevant for part b I'm assuming they want the force of the push in part c which will be 584/1.92 (Fd =mgh)