Mastering Physics: Solving a Rollercoaster Free Fall Problem with No Friction

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To solve the rollercoaster problem, apply the principle of conservation of energy, which states that the total mechanical energy remains constant in the absence of friction. Initially, the rollercoaster has potential energy at the height of 100m, which converts to kinetic energy as it falls. To find the height when the rollercoaster is traveling at 20m/s, calculate the kinetic energy at that speed and subtract it from the initial potential energy to determine the remaining potential energy. This remaining energy can then be used to find the new height above the ground. Understanding these energy conversions is crucial for solving similar physics problems effectively.
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Homework Statement


a 1 ton rollercoaster falls froma top of 100m ramp. how high above the ground is it when it is traveling at 20m/s. assume no friction

I DONT NO HOW TO START OR WHERE TO START FROM! PLZ HELP
 
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Use conversation of energy. I am quite sure it is covered in your book.
 
ohh yes THANK YOU! :)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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