Two canal workers pull a barge along the narrow waterway at a constant speed. One worker pulls with a force of 105 N at an angle of 28° with respect to the forward motion of the barge and the other worker, on the opposite tow path, pulls at an angle of 38° relative to the barge motion. Both ropes are parallel to the ground.
(a) With what magnitude force should the second worker pull to make the sum of the two forces be in the forward direction?
(b) What is the magnitude of the force on the barge from the two tow ropes?