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?Show how to approximate the required work by a Riemann sum. Then express the work as an
Chapter 5, Problem 13(choose chapter or problem)
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
(a) How much work is done in pulling the rope to the top of the building?
(b) How much work is done in pulling half the rope to the top of the building?
Questions & Answers
QUESTION:
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
(a) How much work is done in pulling the rope to the top of the building?
(b) How much work is done in pulling half the rope to the top of the building?
ANSWER:Step 1 of 5
a)
Divide the heavy rope into small sections of length 
The force by gravity on each section is
Here 
The work done in lifting one such piece is
