calculus
posted by Bryant .
A 160lb man carries a 25lb can of paint up a helical staircase that encircles a silo witha radius of 20 ft. If the silo is 90 ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top?
I looked at this problem and got that the vector field was conservative. I've asked my tutor if this was correct and she said it "seemed" like it. My question is how does the path taken not matter? The man isn't just cutting straight up the helix to reach the top right?
Wouldn't the stairs make the distance to the top longer for the man?
please answer.

never mind. i thought about it and it is the work done by gravity. not the man. which leads me to another question. how exactly would you find the work done by the man. would he be represented as another vector or or in the vector field?
Respond to this Question
Similar Questions

Algebra II
A person who is 6 feet tall walks away from a 50foot silo toward the tip of the silo's shadow. At a distance of 32 feet from the silo, the person's shadow begins to emerge beyond the silo's shadow.How much farther must the person … 
math
1. Dan is building a silo on his farm in the shape of a right circular cylinder. The silo has a radius of 20 cm and a height of 60 cm. If he were to increase the radius and height by a factor of 1.5, by what factor would the volume … 
math
Complete in Metric Conversions: Estimate the gallons of paint needed to cover the outside of a cylindrical silo which is 30 feet in diameter and 70 feet high. Do not include any roof area. The paint covers approximately 150 square … 
Math
Charlie is making a toy silo for his children. The silos height is three times it's radius. He is also adding a dome shaped top that is a half sphere. If the total surface area of the silo, when assembled is 100 square inches , what … 
geometry
camera is 4 ft 6 inched off the ground 18 feet away from a silo, how tall is the silo 
Algebra
A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height … 
Quantitative Reasoning (math)
A round silo is 60 ft tall and has a 15 ft radius. About high would a load of 32,000 cubed feet fill the silo to? 
Geometry
Carl is looking to buy a farm. While looking at a potential property, Carl wants to know the height of the silo. He measures a nearby tree to be 8ft. When he stands 25ft away from the silo and 2 ft away from the tree, he can see the … 
Math
A round silo is 55 feet tall and has a 18 foot radius. How high would a load of 31000 cubic feet of grain fill the silo? 
Math
A round silo is 40 feet tall and has a 25 foot radius. How high would a load of 37000 cubic feet of grain fill the silo?