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Standard XI
Physics
Gravitational Potential Energy
Question

Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a spring constant of $$81. N/m$$ and the person's body is modeled as a particle. the hot-air balloon does not move Express the gravitational potential energy of the person-Earth system as a function of the person's variable height $$\gamma$$ above the ground

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Q1
Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a spring constant of $$81. N/m$$ and the person's body is modeled as a particle. the hot-air balloon does not move Express the gravitational potential energy of the person-Earth system as a function of the person's variable height $$\gamma$$ above the ground
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Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a spring constant of $$81. N/m$$ and the person's body is modeled as a particle. the hot-air balloon does not move Express the total potential energy of the person-cord-Earth system as a function of $$y$$
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Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a speing constant of $$81. N/m$$ an dthe person's body is modeled as a particle. the hot-air balloon does not move express the elastic potential energy of the cord as a function of $$\gamma$$
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Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a spring constant of $$81. N/m$$ and the person's body is modeled as a particle. the hot-air balloon does not move. Assume air resistance is negligible. Determine the minimum height of the person above the ground during his plunge.
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Staring from rest, a $$64.0-kg$$ person bungee jumps from a tethered hot air balloon $$65.0 m$$ above the ground. The bungee cord has negligible mass and unstretched length $$25.8 m$$ One end is tied to the basket of the balloon and the other end to a harness around the person's body. The cord is modeled as a spring that obeys Hooke's law with a spring constant of $$81. N/m$$ and the person's body is modeled as a particle. the hot-air balloon does not move. Plot a graph of the gravitational elastic and total potential energies as functions of $$y$$
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