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Laws of Conservation

Problem 1.130

A body of mass mm is hauled from the Earth's surface by applying a force F\mathbf{F} varying with the height of ascent yy as F=2\mathbf{F}=2 (ay - -1) mg, where aa is a positive constant. Find the work performed by this force and the increment of the body's potential energy in the gravitational field of the Earth over the first half of the ascent.

Reveal Answer
 1.130. A=3mg/4a,ΔU==mg/2a\begin{aligned} & \text { 1.130. } A=3 m g / 4 a, \quad \Delta U=\\ =& m g / 2 a \end{aligned}
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