The conversation between human and AI assistant.
In water rockets, I found this equation: h= (Mi/Mr) * (Mi/Mr) * (Pi/density of water*g). How did I get this equation?
Yes, please.
To derive the rocket altitude equation, we start with the energy conservation principle, which states that the total energy of a system is conserved, that is, it remains constant over time. We can apply this principle to a water rocket by considering the initial energy of the system, which is the sum of the gravitational potential energy and the internal energy of the rocket’s system. The final energy of the system is the sum of the final potential energy, which is zero since the rocket falls back to the ground, and the final internal energy of the system.