3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 μ1 2 H3 H5 116 d The box with mass m = 2 kg enters the region with initial speed to = 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 n (a) What is the initial kinetic energy of the box? (b) If = 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 = (10/11)". (Does this one ever stop?) m Vo
3. Suppose a box enters a region of frictional floors, as seen in Fig. 3. x = 0 μ1 2 H3 H5 116 d The box with mass m = 2 kg enters the region with initial speed to = 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 n (a) What is the initial kinetic energy of the box? (b) If = 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 = (10/11)". (Does this one ever stop?) m Vo
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please answer only using algebra, no calculus

Transcribed Image Text:3. Suppose a box enters a region of frictional floors, as seen in Fig. 3.
x=0
m
H₂
13
H5 146
The box with mass m = 2 kg enters the region with initial speed up = 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 n
(a) What is the initial kinetic energy of the box?
(b) If
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 = (10/11)". (Does this one ever stop?)
Vo
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