Energy Conservation in Vertical Circular Motion
A bucket is swung in a vertical circle of radius r. The speed at the top of the circle is v_min and the speed at the bottom is v_bottom. If mechanical energy is conserved, which equation correctly relates v_bottom and v_min?
A
v_bottom² = v_min² + 2gr
B
v_bottom² = v_min² + 4gr
C
v_bottom = 2v_min
D
v_bottom = v_min + 2√(gr)
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