A bungee jumper is jumping with help of elastic ideal rope (Force constant k ). Jumper steps off the bridge and falls from the rest towards the river below. He does not hit the water. The mass of jump

Question

A bungee jumper is jumping with help of elastic ideal rope (Force constant k ). Jumper steps off the bridge and falls from the rest towards the river below. He does not hit the water. The mass of jumper is m , natural length of rope is l . Gravity is g , assume every thing ideal. then, choose the incorrect option :

TestHub · Accepted Answer

(A) Fall until first rest: m g S = 2 1 ​ k ( S − ℓ ) 2 ⇒ S = ℓ + k m g + m 2 g 2 + 2 m g k ℓ ​ ​ - correct. (B) Maximum speed at equilibrium extension x = m g / k : v 2 = 2 g ( ℓ + x ) − m k x 2 ​ = 2 g ℓ + k m g 2 ​ - correct. (C) Free fall over the natural length: t = 2 ℓ / g ​ - correct. All of A, B, C are correct, so the incorrect option is (D). Ans. (D)

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