Q#1. A sky diver plans to bungee jump from a tower 73.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches it by 1.75 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower.

(a) What length of cord should she use? Answer: _____ m

(b) What maximum acceleration will she experience? Answer: _______m/s²

Q#2. One end of a light spring with spring constant k₁ is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k₂. An object of mass m is attached to the lower end of the second spring.

(a) By how much does the pair of springs stretch? (Use the following as necessary: k₁, k₂, m, and g, the gravitational acceleration) x_total = __________ (b) What is the effective spring constant of the spring system? (Use the following as necessary k₁, k₂, m, and g, the gravitational acceleration)

k_eff= _________

(c) What If? Two identical light springs with spring constant k₃ are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant of the pair of springs as a system in this situation in terms of k₃. (Use the following as necessary: k_3, M, the mass of the symmetric object, and g, the gravitational acceleration).

k_{eff= _________}

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