Three boxes slide on a frictionless horizontal surface when pulled by a force of magnitude F.When we compare the tensions T₁ and T₂ with the force F,we find that A)T₁ = T₂ = F. B)T₁ = F T₂. C)F T₁ = T₂. D)F T₁ T₂. E)F -T₁

Question

Three boxes slide on a frictionless horizontal surface when pulled by a force of magnitude F.When we compare the tensions T₁ and T₂ with the force F,we find that A)T₁ = T₂ = F. B)T₁ = F > T₂. C)F > T₁ = T₂. D)F > T₁ > T₂. E)F -T₁ < T₁-T₂.

Quizplus · Accepted Answer

Since the surface is frictionless, the tension in the rope must be equal to the force F. However, the tension in the rope for box 1 (T₁) will be less than the tension in the rope for box 2 (T₂) because box 1 is being pulled by both the force F and the tension in the rope for box 2, while box 2 is only being pulled by the force F and its own tension in the rope. Therefore, we have F > T₁ > T₂.

Three Boxes Slide on a Frictionless Horizontal Surface When Pulled