question_answer

A body of mass m is hauled from the Earth's surface by applying a force F varying with the height of ascent y as \[\vec{F}=2\left( ay-1 \right)m\overset{\scriptscriptstyle\rightharpoonup}{g}\], where a is a positive constant. The work performed by this force in the gravitational field of the Earth over the first half of the ascent is \[x\frac{mg}{4a}\]. Determine x.

Answer:

3.00