An object does not gain mass solely from gravitational acceleration, as mass increase is linked to the energy driving force according to relativity. The discussion references the Pound and Rebka Mossbauer Effect, where photons falling under gravity gain energy without an increase in mass. Gravitational tug can increase an object's energy, but this energy does not convert into mass. For massless particles like photons, energy gain corresponds to momentum increase, following the equation E = pc. Thus, gravitational effects influence energy but do not alter mass directly.