# Problem: During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times her weight, how much do the bones (the femurs) in her legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 60.0 kg.

###### FREE Expert Solution

Euler's equation:

$\overline{){\mathbf{∆}}{\mathbf{l}}{\mathbf{=}}\frac{\mathbf{F}\mathbf{l}}{\mathbf{\gamma }\mathbf{A}}}$ where Δl is the change in length, F is the force, l is the initial length, γ is the young's modulus, and A is the cross-sectional area.

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###### Problem Details

During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the legs. If the upward force on the lower performer is three times her weight, how much do the bones (the femurs) in her legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 60.0 kg.