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suppose a 51 kg bungee jumper steps off the royal gorge bridge, in colorado. The bridge is situated 321 m above the arkansas river. the bungee cords spring constant is 32 N/m, the cords relaxed length is 104m and its length is 179m when the jumpers stops falling. what is the total potential energy associated with the jumper at the end of his fall? assume that the bungee cord has negligible mass

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onyebuchinnaji

The total potential energy associated with the jumper at the end of his fall is 90,000 J.

The given parameters;

  • mass of the jumper, m = 51 kg
  • height of the bridge. h  = 321 m
  • spring constant of the cord, k = 32 N/m
  • extension of the cord, x = 179 m - 104 m = 75 m

The total potential energy associated with the jumper at the end of his fall is calculated as follows;

U = ¹/₂kx² + mgΔh

where;

Δh is the change in height after falling

U = ¹/₂(32)(75)²  + (51)(9.8)(0)

U = 90,000 J

Thus, the total potential energy associated with the jumper at the end of his fall is 90,000 J.

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