A motorized cart moves along a horizontal track at a constant speed \( v \). The motor must exert a constant forward force to overcome a constant resistive force \( F_D \) from the track, resulting in a power output \( P \). The cart then reaches a section of the track inclined at an angle \( \theta \) to the horizontal and continues to move up the incline at the same constant speed \( v \). The magnitude of the resistive force \( F_D \) remains the same on the incline. On this incline, the magnitude of the component of the cart's weight parallel to the track is equal to \( F_D \).

What is the new power output of the motor while the cart moves up the incline at speed \( v \)?