This image shows two questions related to a system with two blocks moving at constant speed relative to each other on a frictionless surface. Let me walk you through both questions:

Question 9:

The two blocks are connected by ropes with tensions $T_1$ and $T_2$, and the coefficient of friction between the blocks is $\mu$. The question asks for the relationship between $T_1$ and $T_2$.

Correct Answer: $T_1 = \left( \frac{\sqrt{3}}{3} \right) T_2$, which is Option (B).

This choice is likely based on how tension between the blocks and friction affects the forces involved.

Question 10:

This question asks for the relationship between the frictional forces experienced by the top block ($f_1$) and the bottom block ($f_2$).

Correct Answer: The answer is $f_1 = 3 f_2$, which is Option (C).

This suggests that the friction force on the top block is three times the friction force on the bottom block, possibly due to the mass ratio of the blocks (3:1).

Would you like further details on the force derivations, or how the tensions and friction forces are calculated?

Here are five related questions that build upon this concept:

1. How would the system behave if the surface had friction?
2. What would happen if the coefficient of friction between the blocks increased?
3. How do you determine the forces acting on a system moving at constant speed?
4. How would the result change if the masses of the blocks were equal?
5. What role does Newton's Second Law play in determining the forces in this system?

Tip: In systems with constant velocity, the net force acting on the system is zero, meaning all forces must balance out.