Swing Toy

A 36 N toy is placed in a light swing that is attached to ropes 1.5 m long.?
(a) Find the gravitational potential energy associated with the toy relative to its lowest position when the ropes are horizontal.
J
(b) Find the gravitational potential energy associated with the toy relative to its lowest position when the ropes make a 30° angle with the vertical.
J
(c) Find the gravitational potential energy associated with the toy relative to its lowest position at the bottom of the circular arc.
J
a) Ep = mg·h = 36N·1.5m = 54 N·m = 54 J
b) at 30º, h = 1.5m·(1 – cos30º) = 0.2 m
so Ep = 36N · 0.2m = 7.2 N
c) Ep = 0
since h = 0
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