To calculate the force needed to accelerate a system of bodies to 30 ft/s after moving 20 ft from rest, the work done by the unknown force must equal the change in kinetic energy. A participant has attempted to find the forces acting on the system but is struggling to visualize the problem due to a missing diagram. Clarification on the work done has been questioned, with a specific value of 0.2 being discussed, though uncertainty remains without visual aids. The discussion emphasizes the importance of the diagram for accurate calculations and further assistance. Overall, participants are seeking help to resolve the force calculation issue effectively.