I have a hipotetic rocket that have a power of 3000 watt, however its position don't change because the effect of a gravity of 10m/s^2 do the rocket remains like it would be resting. I need to determine the mass of the rocket. In a similar problem I have a rocket also in an unchangeable altitude by the effect of the gravity with a mass of 400kg and I need to determine the power of the rocket engine.
I would like to know if I could consider in this case impulse and work as synonymous or if there's another way to solve the problem. Since there's a spend of energy by the rockets .
It's not used the rocket equation, it is just a hypothetical situation to calculate the energy spend to remain a static position