Hi, I have a mix-up with power and work and force too. My problems stem from this question: A plane of mass M consumes P Power in order to stay afloat. Express the power used in terms of M and other relevant constants. The more I thought about this problem, the more I got confused. It makes sense that you are doing work and consuming power because you are working against gravity. However, I remembered my teacher telling me that work is force times distance, so if you push a stationary object, no matter how much force you push it with, if it does not move, you have done no work. That is where my confusion comes in. The plane is not moving at all, so technically no work is done. If no work is done, there should be no power consumption (work done per unit time). If there should be no power consumption, why are you using power? And it makes sense that you are using power because you are doing work (or something else) against gravity. I tried it out and thought maybe you have to assume that the only force exerted on the plane is gravity. From the gravity, you can calculate the rate of change of distance by using the kinematics equations, and from that, you can work out the work done gravity. And the power consumption will be the negative of this value. However, this does not make sense, because the work done by gravity will increase as time passes (As time passes, the velocity will become greater, so the distance travelled will become greater and thus more work is done), but I think the power P is a constant value. So what should be done here? Do I have a fundamental flaw in my understanding of power, work and force? Is there a formula that describes the relationship between power and force without a length term? Thanks.