Final answer:
The minimum N1 with brakes applied when facing tailwinds greater than 10 knots is a physics concept that would be specified in an aircraft's performance tables, taking into account the additional thrust needed due to increased kinetic energy from the wind.
Step-by-step explanation:
The question appears to revolve around the principles of physics, particularly concerning the concepts of net force, kinetic energy (KE), and the effects of wind on aircraft and vehicles. The minimum N1 with brakes applied when tailwinds are greater than 10 knots involves understanding the forces acting on an aircraft during taxi and the impact these forces have on the required engine thrust. In general, N1 refers to the low-pressure compressor speed in a jet engine, and the minimum value of N1 would be determined based on the aircraft's performance tables, taking into account the effects of the tailwind, which can increase the necessary thrust to keep the aircraft stationary or at a safe taxi speed.
There isn't enough information given to provide a specific value for the minimum N1 in this scenario. Considering the provided equations and physics concepts, they refer to various circumstances where force, acceleration, and friction play significant roles. For example, the force exerted backwards by a car or a motorcycle for acceleration, or the lift force produced by the aircraft wing at takeoff speeds. It would be better to consult the specific aircraft's flight manual or performance tables for the exact value of minimum N1 with brakes applied under the influence of tailwinds greater than 10 knots.