We are given a problem involving a block with mass $M = 12.0 \, \text{kg}$, moving to the right with an initial speed $u = 6.00 \, \text{m/s}$ on a rough horizontal surface. The block is being pulled by a rope exerting a force $T = 12.0 \, \text{N}$ at an angle $\alpha = 35^\circ$ above the horizontal. The coefficient of kinetic friction between the block and the surface is $\mu_k = 0.420$.

We are asked to solve the following:

Part A:

When the block has moved 2.50 m from its initial position, what is its speed?

Part B:

When the block has stopped, how far has it traveled from its initial position?

Part C:

When the block has stopped, how much work has friction done to the block?