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A bungee cord loosely hangs from a bridge. Its length while hanging is 79.5 m. When a 67.3 kg bungee jumper is attached and makes her leap, after bouncing around for a bit, she ends up hanging upside down 83.0 m from the jump point, where the bungee cord is tied.

Respuesta :

Answer:

x=82.81 m

Explanation:

Mass m= 67.3 Kg

Length while hanging = 79.5 m

Length while hanging upside down = 83 m

Lets take stiffness constant  of rod is K

So

mg = KΔx

67.3 x 10 = K(83-79.5)

K=192.28 N/m

Lets take at distance x cord is tied

mg = K(x-79.5)

63.7 x 10 = 192.28 (x-79.5)

x=82.81 m

The distance should be 82.81 m

Calculation of the distance:

Since

Mass m= 67.3 Kg

Length while hanging = 79.5 m

Length while hanging upside down = 83 m

Let's assume take stiffness constant of the rod is K

So

mg = KΔx

67.3 x 10 = K(83-79.5)

K=192.28 N/m

Now

Lets assume distance x cord is tied

So,

mg = K(x-79.5)

63.7 x 10 = 192.28 (x-79.5)

x=82.81 m

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