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A student has six textbooks, each with a thickness of 4.0 cm and a weight of 30 N. What is the minimum work the student would h...Asked by bec
a student has six textbooks, each has a thickness of 3.6cm and a weight of 28 N. What is the minimum work the student would have to do to place all of the books in a single vertical stack, starting with all the books on the surface of the table?
Answers
Answered by
Henry
Since all of the books are on the table, the 1st book doesn't have to be
lifted:
d =d1 + d2 + d3 + d4 + d5 + d6,
d = 0 + 1*3.6 + 2*3.6 + 3*3.6 + 4*3.6
+ 5*3.6,
d = 0 + 3.6 + 7.2 + 10.8 + 14.4 + 18.
W = F(0 + 3.6 + 7.2 + 10.8 + 14.4 + 18)
W = F * 54cm,
W = 28 * 0.54m = 15.12 Joules.
lifted:
d =d1 + d2 + d3 + d4 + d5 + d6,
d = 0 + 1*3.6 + 2*3.6 + 3*3.6 + 4*3.6
+ 5*3.6,
d = 0 + 3.6 + 7.2 + 10.8 + 14.4 + 18.
W = F(0 + 3.6 + 7.2 + 10.8 + 14.4 + 18)
W = F * 54cm,
W = 28 * 0.54m = 15.12 Joules.
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