How to calculate the maximum force?
A bungee jumper is using an elastic cord that can be represented as a linear spring spring constant k, as shown below. Unstretched length of the string is 30 m. Calculate the maximum force developed in the agreement if the rider's weight is 80 kg. Ignore the mass of the rope. Note: In the lowest position, the bungee jumper is L m + x From the point of departure, where L is the length of the string x unstretched extension of the agreements. At that time, the speed is zero and all the potential energy at the top have become a source of potential energy. [N / km] = 37 Could you please help me solve this problem.
The initial velocity of the bridge is Vo = sqrt (2GH) = sqrt (2 * 9.8 * 30) = 24 m / s this time, the pilot begins to experience the elastic force. The total energy stored in the elastic medium MVO ^ 2 mg + D = 1 / 2 ^ k 2 D where D is the distance that the elastic strain, we obtain the solution D 1 / 2 k ^ 2 D – D mg – 1 / 2 ^ 2 = MVO 0 5.18 D ^ 2 – 784 D – 23 040 = 0 = D (784 – sqrt ( 784 ^ 2.4 * 18.5 * 23040)) / (2 * 18.5) = 62 m. Therefore the total force is F max = 37 * 62 = 2294 N
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