Lag1989 task №5.50

To create an artificial gravity on a spacecraft revolving around the Earth in a circular orbit, it was proposed to accelerate the spacecraft up to a speed V, which exceeds the first cosmic velocity. To keep the ship in a circular orbit at this speed, the engine is turned on, giving the ship an acceleration normal to the ship´s trajectory. At what speed V will the cosmonaut on the ship experience the same "heaviness" as on Earth. Assume that the orbit passes near the surface of the Earth. Ignore the change in the gravitational acceleration g with height.