Question

Forces F₁ (east) and F₂ are simultaneously applied to a 3.0 Kg mass. When F₂ is east, a = 5.0m/s² east and when F₂ is west a = 1.0m/s² east. Determine the magnitude of F₁ and F₂.

Answer 1

$$F_2+F_1=ma_1=3(5)=15\\F_1-F_2=ma_2=3(1)=3\\ F_1=0.5(15+3)=9\ N\\F_2=0.5(15-3)=6\ N\\$$