Only for genius people: jumping stilts on a trampoline.

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The discussion revolves around a physics question posed about a trampoline jumper using jumping stilts. Participants debate whether the jumper achieves a higher jump with stilts on or in a backpack, or if it makes no difference. The consensus leans towards the idea that wearing stilts may not provide a significant advantage, as they could absorb energy rather than enhance the jump. Some argue that the trampoline's energy output is independent of the stilts, while others suggest that the jumper's center of mass is higher with stilts, potentially affecting the jump height. Ultimately, the conclusion remains unclear, with participants seeking a definitive answer based on physics principles.
  • #51
emptymaximum said:
m \ddot{x} = -m g + b x - k x where +ve x is upward, b is the spring constant of the trampoline, and k is the spring constant of the stilts.

Im afraid its not that simple. The trampoline will not be an ideal spring, but rather some sort of a membrane. It will take the shape of a "well" so to speak, and I doubt the spring constant will be directly linear as you propose, but it could be very nearly the same.
 

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