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It will gain more height with ballast. The
kinetic energy is defined as 1/2*m*v squared. [...] The potential energy is m*g*h, [...] So for example, if a gldier weighs twice as much, it will gain twice the height, or at least I think so! Again, take out the constants. Both aircraft have the same velocity at the beginning, 100Kts. Assume, for the sake of argument, that they have the same velocity at the end, say 30 kts (I know the heavier one will stall first, but in a vertical pull up, the wing loading is zero, so the stall speed would be very close). SO at the beginning, the delta in kinetic energy for two ships travelling the same speed is only proportional to the mass. Since the heavier one weighs more, it has more kinetic energy. At the end of the pull up, when all the kinetic is converted to potential, take out the constants again (g), and the only remaining variable is h. h is proportionally more for the heavier ship. And, as I said before, this is not accounting for drag. P.S. I f'in hate calcusus. R dR d theta double dot! Jim Vincent CFIG N483SZ |
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