Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 μ1 1₂ H3 μ4 H45 μ6 d The box with mass m = 2 kg enters the region with initial speed vo 10 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 un. (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. m Vo

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3. Suppose a box enters a region of frictional floors, as seen in Fig. 3.
x = 0
1
μ1
H₂
μ3
μ4
H5
μ6
d
The box with mass m = 2 kg enters the region with initial speed vo= 10
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 µn.
(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 µn = (10/11)". (Does this one ever stop?)
m
Vo
Transcribed Image Text:3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 1 μ1 H₂ μ3 μ4 H5 μ6 d The box with mass m = 2 kg enters the region with initial speed vo= 10 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 µn. (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 µn = (10/11)". (Does this one ever stop?) m Vo
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