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The Ejection Seat at Lake Biwa Amusement Park in Japan (Figure 1) is an inverse

ID: 1606891 • Letter: T

Question


The Ejection Seat at Lake Biwa Amusement Park in Japan (Figure 1) is an inverse bungee system A seat with passengers of total mass 160 kg is connected to elastic cables on the sides. The seat is pulled down 12.0 m. Stretching the cables. When released, the stretched cables launch the passengers upward above the 1owers to a height of about 30.0 m above their starting position at the ground Assume that the cables are vertical. Determine the spring constant of the cable. Express your answer with the appropriate unit

Explanation / Answer

Applying the law of conservation of energy:

spring potential energy = gain in gravitational potential energy

1/2 k x^2 = mgh

1/2 k(12)^2 = 160x9.8x30

k = 653.3 N/m

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