Yeah, you would have a force on everything inside the craft, gravity is applied to everything in your craft directly, whereas your engine just applies it to the shell of the ship, and everything from that gets applied indirectly to everything else through the structure (i.e. the floor pushing against your feet). A nice trivial case is one where your orbital speed is 0.
Solt wrote:I'm wondering if it's possible to stay in orbit under such conditions. Wouldn't you would drift sideways out of the orbital path (as if the planet's gravity was never there)?
You wouldn't have to cancel it out entirely to have different orbits than would otherwise be possible. Say for example you just apply 0.5g of thrust down, close to the Earth, you would be able to take a circular orbit that's much slower than what you would normally be able to do at that distance (as if the planet's gravity were less than normal). So you could use that to do something like have a geosynchronous satellite in a circular orbit much close than would normally be possible.
Or, you could do the opposite, give yourself a huge sideways velocity, and thrust straight down toward the planet, and you could have a circular orbit that's much faster than you could get otherwise at that distance(since without the extra thrust, you would go flying out into an ellipse, or out of the orbit entirely, etc.).
You don't even have to apply the thrust straight down, which could allow you to do some more unusual things, like have a geosynchronous orbit that's always directly over a point that's not on the equator. See also: http://en.wikipedia.org/wiki/Statite