To accelerate a child on a sled with a total mass of 61.0 kg at 1.12 m/s², the required force is calculated using the formula F = MA, resulting in 68.32 N, not 73.2 N as initially thought. For moving a crate with a mass of 37 kg at a steady speed across a surface with a coefficient of kinetic friction of 0.25, the force needed equals the friction force, which is calculated as F = µ_k * m * g. If there is no friction (µ_k = 0), no force is required to maintain steady speed. The discussion also highlights the importance of correctly applying the formulas for force and friction. Overall, the participants provided clarification on the calculations and concepts involved in these physics problems.