Ubergeekian
Well-Known Member
But to respond. If the road were to pass energy onto the cart, then the road would be in a different state after the cart had gone. Is it? No it isnt. The road is stationary. Its at the same potential energy as it always was. Its at the same temperature.
It's moving at a different speed. No, really, of course it is. A force has been exerted on it and the force does work. Of course the mass of the earth is so large that the velocity change is imperceptible, but it's still there. As it is in much simpler case - the wind blowing against a tree changes the earth's velocity too. When you accelerate in your car you give the earth just as much momentum backwards as you give your car forwards.