A Bungee cord has natural length of 15 m. A 75 kg jumper ties one end to bridge

Question

A Bungee cord has natural length of 15 m. A 75 kg jumper ties one end to bridge and jumps. Person reaches maximum distance from bridge of 35 m before turning around and being shot back Determine elastic constant ,k,go Bungee cord A Bungee cord has natural length of 15 m. A 75 kg jumper ties one end to bridge and jumps. Person reaches maximum distance from bridge of 35 m before turning around and being shot back Determine elastic constant ,k,go Bungee cord Determine elastic constant ,k,go Bungee cord

Explanation / Answer

Energy stored in the cord :

U = 0.5*k*x^2

where k = elastic constant

x = (35 - 15) = 20 m

PE lost by the person,

PE = mgh

where h = 35 m

So, By conservation of energy:

PE = U

So, mgh = 0.5*k*x^2

So, 75*9.8*35 = 0.5*k*20^2

So, k = 128.6 N/m <------answer

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