An elastic launch cord on a model glider launcher has a stiffness (spring constant) of 160 N/m160\text{ N/m}160 N/m. Calculate the work done in stretching this cord by 0.35 m0.35\text{ m}0.35 m from its unstretched length.
A high-altitude weather balloon is held stationary by two perpendicular mooring lines. The tension in one line is 8.0 N8.0\text{ N}8.0 N and the tension in the other line is 15.0 N15.0\text{ N}15.0 N.
(i) Calculate the magnitude of the resultant force exerted on the balloon by these two mooring lines.
(ii) A meteorologist plots a vector scale diagram representing these forces, where 1 N1\text{ N}1 N is represented by 2.4 cm2.4\text{ cm}2.4 cm. Determine the length of the line that represents this resultant force in the diagram.