A 55 kg boy and 40 kg girl usa a rope while engaged in a tug-of-war. If the girl accelerates towards the boy at 5.1 m/s/s, what is the acceleration of the boy towards the girl?
The force on the rope is the same both ways.
Forceonrope=massgirl*accelerationgirl
solve for the force, then
force=massboy*accelerationboy.