What Is the Minimum Spring Constant Needed for George's Safe Bungee Jump?

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SUMMARY

To ensure George's safety during his bungee jump from a height of 40.5 m, the bungee cord must stop his fall at least 2.00 m above the river. Given that the unstretched length of the bungee cord is 27.5 m and George's mass is 75.0 kg, the minimum spring constant (k) can be calculated using Hooke's Law (Fx = -kx). The required spring constant must be sufficient to counteract the gravitational force acting on George at the maximum stretch of the bungee cord.

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  • Understanding of Hooke's Law (Fx = -kx)
  • Basic knowledge of gravitational force calculations
  • Familiarity with concepts of potential energy and elastic potential energy
  • Ability to interpret physical diagrams and scenarios
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  • Calculate the gravitational force acting on a mass of 75.0 kg
  • Learn about energy conservation principles in elastic systems
  • Explore advanced applications of Hooke's Law in engineering
  • Investigate safety standards for bungee jumping equipment
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Physics students, engineers, safety equipment designers, and anyone interested in the mechanics of bungee jumping and elastic materials.

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1. George is going to bungee jump from a bridge that is 40.5 m over the river below. The bungee cord has an unstretched length of 27.5 m. To be safe, the bungee cord should stop George's fall when he is at least 2.00 m above the river. Ignoring air resistance, if George has a mass of 75.0 kg, what is the minimum spring constant of the bungee cord?
_______N/m

Homework Equations



Fx=-kx

The Attempt at a Solution


134
 
Last edited:
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Your attempt at a solution should include more than yoru final answer.

Anyways, try drawing a diagram to see what the numbers in the question mean.
 

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