A crane lifts a 2,000 lb load vertically 30 ft with a 1" cable weighing 1.68 lb/ft.  (a) How much work is done lifting the cable alone? (b)How much work is done lifting the load alone? (c) Could one conclude that the work done lifting the cable is negligible  compared to the work done lifting the load?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A crane lifts a 2,000 lb load vertically 30 ft with a 1" cable weighing 1.68 lb/ft. 

(a) How much work is done lifting the cable alone?

(b)How much work is done lifting the load alone?

(c) Could one conclude that the work done lifting the cable is negligible  compared to the work done lifting the load?

(Please help me solve at least letter A which are the instructions for the problem.) 

7. A rope of length 2 ft hangs over the edge of tall cliff. (As-
sume the diff Is taller than the length of the rope.) The
rope has a welght density of d Ib/ft.
(a) How much work is done pulling the entire rope to the
top of the cliff?
(b) What percentage of the total work is done pulling In
the first half of the rope?
I
work is done?
(c) How much rope is pulled in when half of the total
8. A 20 m rope with mass density of 0.5 kg/m hangs over the
edge of a 10 m building. How much work Is done pulling
the rope to the top?
9. A crane lifts a 2,000 lb load vertically 30 ft with a 1" cable
weighing 1.68 Ib/ft.
(a) How much work is done lifting the cable alone?
(b) How much work is done lifting the load alone?
(c) Could one conclude that the work done lifting the ca-
ble is negligible compared to the work done lifting the
¿peo
soline tankeris filed wth gasoline w th a weight den
Transcribed Image Text:7. A rope of length 2 ft hangs over the edge of tall cliff. (As- sume the diff Is taller than the length of the rope.) The rope has a welght density of d Ib/ft. (a) How much work is done pulling the entire rope to the top of the cliff? (b) What percentage of the total work is done pulling In the first half of the rope? I work is done? (c) How much rope is pulled in when half of the total 8. A 20 m rope with mass density of 0.5 kg/m hangs over the edge of a 10 m building. How much work Is done pulling the rope to the top? 9. A crane lifts a 2,000 lb load vertically 30 ft with a 1" cable weighing 1.68 Ib/ft. (a) How much work is done lifting the cable alone? (b) How much work is done lifting the load alone? (c) Could one conclude that the work done lifting the ca- ble is negligible compared to the work done lifting the ¿peo soline tankeris filed wth gasoline w th a weight den
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