A5 lb bucket attached to a rope is lifted from the ground into the air by pulling in 22 ft of rope at a constant speed. If the rope weighs 0.9 how much work is done lifting the bucket and rope? Part 1. Find the work done in lifting the bucket (without the rope) 22 ft. Winucket = ft-lb Part 2. Assuming the force required to lift the rope is equal to its weight, find the force function, F(z), that acts on the rope when the bucket is at a height of z ft. F(2)- Part 3. Setup the integral that will give the work required to lift the rope 22 ft. Wrope= Part 4. The total amount of work done in lifting the bucket and rope is

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Finding the work done in lifting a bucket.
A 5 lb bucket attached to a rope is lifted from the ground into the air by pulling in 22 ft of rope at a constant speed. If the rope weighs 0.9, how much work is done lifting the bucket and rope?
lb
ft
Part 1.
Find the work done in lifting the bucket (without the rope) 22 ft.
W
Part 2.
Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of r ft.
F(z) -
Part 3.
Setup the integral that will give the work required to lift the rope 22 ft.
W
Vrope
Part 4.
The total amount of work done in lifling the bucket and rope is
JA
Transcribed Image Text:Finding the work done in lifting a bucket. A 5 lb bucket attached to a rope is lifted from the ground into the air by pulling in 22 ft of rope at a constant speed. If the rope weighs 0.9, how much work is done lifting the bucket and rope? lb ft Part 1. Find the work done in lifting the bucket (without the rope) 22 ft. W Part 2. Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of r ft. F(z) - Part 3. Setup the integral that will give the work required to lift the rope 22 ft. W Vrope Part 4. The total amount of work done in lifling the bucket and rope is JA
It-lb
UTSA OneDrive
Blackboard
I UTSA My Apps S Be
bucket
Part 2.
Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of x ft.
F(#) =
Part 3.
Setup the integral that will give the work required to lift the rope 22 ft.
Wrope
Part 4.
The total amount of work done in lifting the bucket and rope is
W
ft-lb.
Note: enter your answer using values correct to three decimal places.
Note: You can earn partial credit on this problem.
Transcribed Image Text:It-lb UTSA OneDrive Blackboard I UTSA My Apps S Be bucket Part 2. Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of x ft. F(#) = Part 3. Setup the integral that will give the work required to lift the rope 22 ft. Wrope Part 4. The total amount of work done in lifting the bucket and rope is W ft-lb. Note: enter your answer using values correct to three decimal places. Note: You can earn partial credit on this problem.
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