Computing work done by a force along a path - Your turn

Suppose that the spacecraft is now traveling in an orbit specified by the following parametric equation:

\[ r(t) = 1.5 \times 10^{11} \cos(t)\ \vec{i} + 1.3 \times 10^{11} \sin(t)\ \vec{j} + 10^9 \cos(t)\ \vec{k} \quad \text{where}\ 0 \le t \le 2\pi \]

Compute the work done by solar radiation for \(0 \le t \le \dfrac{\pi}{2} \).

# TODO: Write your solution below

Exporting your work

When you’re ready, the easiest way to export the notebook is to File > Print it and save it as a PDF. Remove any excessively long, unrelated outputs first by clicking the arrow → next to the output box and then Show/hide output. Obviously don’t obscure any necessary output or graphs!