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Thrust is the amount of force exerted by an engine on the object resulting in acceleration.

force = mass * acceleration

directing thrust in a direction so the object travels upward or directly opposing gravity is upthrust.

weight is how much an object with mass feels gravity a mass of x on earth will feel y newtons of force that is y=x*9.8 where 9.8m/s is the gravity of earth. the same object on the moon still has x mass but now only produces Y=x*1.62 of downward force

so to lift an object off the ground one needs upthrust=mass of object * gravity + acceleration of motion for movement

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