U = 1794.005 × 10⁶ J. Explanation: Information provided indicates that the capacitance of the original capacitor is C = 1.27 F, and the potential difference applied to it is V = 59.9 kV, or 59.9 × 10³ V. The potential energy (U) for the capacitor is determined by the formula: U = (1/2) × C × V². Substituting the respective values, we find U = (1/2) × 1.27 × (59.9 × 10³)², resulting in U = 1794.005 × 10⁶ J.
The following values have been provided:
weight w = 240 lb = 1,067.52 N
energy E = 3,000 J
The equation for potential energy is:
E = w h
where h indicates the height that the person needs to ascend, therefore:
h = 3000 / 1067.52
h = 2.81 m
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<span>Thus, he must ascend 2.81 meters</span>