FYKOS Year 34 Series 3 Problem 2 — bungee · FYKOS 34 #34.3.2

Physics · mechanics · electromagnetism

Problem

Jirka and Káťa want to try bungee-jumping. To jump from a height of

h = 100\,\mathrm{m}

they have ideally elastic rope with a length of

l=40\,\mathrm{m}

, which is calibrated so that when Káťa with a weight of

m_{\mathrm{K}}=50\,\mathrm{kg}

jumps with it, she will stop at the height of

h_{\mathrm{K}}=16\,\mathrm{m}

above the ground. Is this rope safe to use for Jirka if he weights

m_{\mathrm{J}}=80\,\mathrm{kg}

? Neglect the air resistance and the heights of Káťa and Jirka.