A spacecraft propelled by a solar sail is pushed directly away from the Sun with a force of magnitude \(C / r^{2}\), where \(\mathrm{C}\) is a constant and \(r\) is the spacecraft-Sun radial distance. The craft has a mass of \(5.0 \times 10^{4} \mathrm{~kg}\) and starts from rest at a distance \(r_{\mathrm{i}}=1.0 \times 10^{8} \mathrm{~km}\) from the Sun. What must the numerical value and units of \(C\) be in order for the craft to have a speed of \(0.10 c\) when it is very far from the Sun? (Hint: \(c=3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}\).)