naajaae5040
21.02.2020 •
Mathematics
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 140 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it.How much work W is done in pulling the rope to the top of the building?
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Ответ:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute
step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values
Find the length sides CG
Applying the Pythagorean Theorem
substitute the given values
simplify
therefore
step 3
Find the area of rectangle
we have
substitute