v.1. To require someone or something to accept or confront something: The people in charge always force the least pleasant jobs on us. The unexpected guests forced themselves on us, and we ended up cooking them dinner. The tax was forced on both rich and poor for the benefit of the king.
2. To force or require someone or something to continue: Although we were almost too exhausted to move, hunger forced us on. After ten miles some prisoners collapsed, but the captors forced on the rest.