MATHEMATICS COLLEGE

A 170-lb man carries a 20-lb can of paint up a helical staircase that encircles a silo with radius 30 ft. The silo is 90 ft high and the man makes exactly three complete revolutions. Suppose there is a hole in the can of paint and 8 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top

Answers

Answer 1

Answer:

The work done by the man against gravity in climbing to the top is 16740 lb-ft

What is work done against gravity?

The work done against gravity relies on the height of the object and the weight at which the object is changing.

From the given information:

Taking the vertical y-axis when y = 0, then:

The weight of the paint w(y) becomes;

w(0) = 20 lb

w(90) = 20 - 8 = 12 lb

Provided that the paint leaks steadily, the function of y i.e. w(y) can be expressed as a linear function in the form:

w(y) = a + by ---- (1)

Thus;

w(0) = a = 20

w(90) = 20 + 90b = 12
b = (12 - 20)/90
b = -4/45

From equation (1)

w(y) = 20 - 4y/45

The total weight becomes;

w = w(y) + the man's weight

w = 20 - 4y/45 + 170

w = 190 - 4y/45

Therefore, the work done against gravity is computed as:

W = ∫ w dy

where;

y varies from 0 to 90

$\mathbf{W = \int ^(90)_(0)( 190 - (4y)/(45) )\ dy }$

W = 16740 lb-ft

Learn more about work done against gravity here:

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Answers

Full question attached

Answer:

Option C: because the percent of children compared differ too much

Explanation:

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Fill in the blanks to express the quantities given in ratio language. Ratios must beexpressed in simplest form.
Number of Miles Driven in a Week:
Person Hurry and answer need a answer right at this moment
Miles
Annabelle 24
Scarlett
56
Daniel
40
Kylie
8
For every
y miles Annabelle drove, Daniel drove miles.
Submit Answer

Answers

Answer:

I think it's 1.67 miles

Step-by-step explanation:

24:40

1 /24 = x/40

24x/24 = 40/24

1 = 1.67 miles

I hope this helps?

For every 1 mile Annabelle drove, Daniel drove 1.67 miles.

I may be wrong.

Probably am...

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Answers

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Answers

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