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Cerrena [4.2K]
3 years ago
15

a bungee jumper jumps off a bridge and bounces up and down several times, she finally went up to rest 16 m below the bridge from

which she just jumped. if her mass is 50 kg and the spring constant of the bungee cord is 35 n/m how much energy was lost due to air resistance while she was bouncing?
Physics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

E = 4410 J

Explanation:

The net energy change is equal to the change in potential energy

ΔPE = mgΔh = 50(9.8)(16) = 7,840 J

However some of that energy went into the stretch of the spring.

that stretch is found setting the spring force equal to the weight

kx = mg

x = 50(9.8)/35 = 14 m

so energy stored in the spring is

PS = ½kx² = ½(35)(14²) = 3,430

energy lost to friction is 7840 - 3430 = 4,410

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