A transportation safety team from a company evaluates the behavior of tensions that appear in two ropes, 1 and 2, used to secure a load of mass $\mathbf{M}=200 \mathrm{~kg}$ on the truck bed, as shown in the illustration. When the truck starts from rest, its acceleration is constant and equal to $3 \mathrm{~m}/\mathrm{s}^{2}$ and, when it is braked abruptly, its braking is constant and equal to $5 \mathrm{~m}/\mathrm{s}^{2}$. In both situations, the load is on the verge of movement, and the direction of the truck's movement is indicated in the figure. The coefficient of static friction between the box and the truck bed floor is equal to 0.2. Consider the acceleration due to gravity equal to $10 \mathrm{~m}/\mathrm{s}^{2}$, the initial tensions in the ropes equal to zero, and both ropes ideal. In the situations of acceleration and braking of the truck, the tensions in ropes 1 and 2, in newtons, will be (A) acceleration: $T_{1}=0$ and $T_{2}=200$; braking: $T_{1}=600$ and $T_{2}=0$. (B) acceleration: $T_{1}=0$ and $T_{2}=200$; braking: $T_{1}=1400$ and $T_{2}=0$. (C) acceleration: $T_{1}=0$ and $T_{2}=600$; braking: $T_{1}=600$ and $T_{2}=0$. (D) acceleration: $T_{1}=560$ and $T_{2}=0$; braking: $T_{1}=0$ and $T_{2}=960$. (E) acceleration: $T_{1}=640$ and $T_{2}=0$; braking: $T_{1}=0$ and $T_{2}=1040$.
A transportation safety team from a company evaluates the behavior of tensions that appear in two ropes, 1 and 2, used to secure a load of mass $\mathbf{M}=200 \mathrm{~kg}$ on the truck bed, as shown in the illustration. When the truck starts from rest, its acceleration is constant and equal to $3 \mathrm{~m}/\mathrm{s}^{2}$ and, when it is braked abruptly, its braking is constant and equal to $5 \mathrm{~m}/\mathrm{s}^{2}$. In both situations, the load is on the verge of movement, and the direction of the truck's movement is indicated in the figure. The coefficient of static friction between the box and the truck bed floor is equal to 0.2. Consider the acceleration due to gravity equal to $10 \mathrm{~m}/\mathrm{s}^{2}$, the initial tensions in the ropes equal to zero, and both ropes ideal.
In the situations of acceleration and braking of the truck, the tensions in ropes 1 and 2, in newtons, will be\\
(A) acceleration: $T_{1}=0$ and $T_{2}=200$; braking: $T_{1}=600$ and $T_{2}=0$.\\
(B) acceleration: $T_{1}=0$ and $T_{2}=200$; braking: $T_{1}=1400$ and $T_{2}=0$.\\
(C) acceleration: $T_{1}=0$ and $T_{2}=600$; braking: $T_{1}=600$ and $T_{2}=0$.\\
(D) acceleration: $T_{1}=560$ and $T_{2}=0$; braking: $T_{1}=0$ and $T_{2}=960$.\\
(E) acceleration: $T_{1}=640$ and $T_{2}=0$; braking: $T_{1}=0$ and $T_{2}=1040$.