3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 М1 1₂ μ13 H4 μ5 μ6 d = 10 The box with m

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3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 М1 1₂ μ13 H4 μ5 μ6 d = 10 The box with mass m = 2 kg enters the region with initial speed vo m/s. Each of the frictional patches has a length of d = (10/19.62) m. The n-th frictional patch has a coefficient of kinetic friction given by n. (20 points) (a) What is the initial kinetic energy of the box? (b) If n = 0.5 for all n, how far does the block travel before stopping? Find the thermal energy of the system at the end of each patch traversed. (c) Do the same if n = n/5. (d) Do the same if n = (10/11)". (Does this one ever stop?) m Vo