An ice hockey player weighing 100 kg pushes another weighing 112 kg by a force 50 N. What is their acceleration?

Newton's Third law states that for every action there is
an equal and opposite reaction.

The problem has two ice
hockey players who are standing on ice; as the friction due to ice is very small it can
be ignored.

The player weighing 100 kg pushes the player
weighing 112 kg by a force equal to 50 N. This results in an equal force of 50 N exerted
on the player weighing 100 kg by the player weighing 112 kg and in the opposite
direction.

The force on both the players accelerates them
in the direction of the force. The acceleration is given by
Force/mass.

The player weighing 100 kg moves
with an acceleration equal to 50/100 = 0.5 m/s^2. The other player weighing 112 kg is
accelerated by 50/112 = 0.4464 m/s^2 in the opposite
direction.