Hydraulic Launch and Leg Extension: Unveiling the Jumping Mechanism of Spiders

Jumping spiders jump by altering the pressure of their body fluid within them, thereby causing their legs to suddenly extend. Suppose a jumping spider of mass 8.9 mg springs off a leaf at an angle of 30 degrees with respect to the horizontal. While the spider is pushing off from the leaf, the leaf together with a prevailing breeze, exert on it an average force of 1.9 N in the direction of the jump. If this force does 0.52 mJ of work on the spider, by what length (in mm) do the spider’s legs extend while it is taking off? Assume the spider’s legs extended in the vertical direction and neglect any difference between the length of the leg extension and the displacement of the spider’s centre of mass.