F(x) = 3x; find f(7)
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Answer:
John has a sheet of paper that is 8 feet long. He cuts the length of paper into eighths, and then cuts the length of each of these pieces into fourths. How many pieces does he have? How many inches long is each piece?
Step-by-step explanation:
144 joules is the work W done in stretching it from its natural length to 13 in beyond its natural length
Force F=10 lb
From the hookes Law
Therefore, calculate k for the spring for
Work done in stretching a spring through a length dx is
For calculating the work done for stretching the spring to x=6in=(6/12)feet beyond the natural length, Integrate over the limits of x=0 to x=1/2
Therefore,
That is,
The answer that is given is for stretching the spring to 4 inches.
Mass of 10 m of chain length is 80kg. This implies, Mass per unit meter length of the chain is
Consider a small length dx of the chain at the end point A. Work done in lifting the small length dx over the height of x meters is
Now, integrate over the the value of x from
x=0 when end of the chain A is on the ground
x=6 when end of the chain A reaches 6 m above the ground
That is,
Hence,144 joules is the work W done in stretching it from its natural length to 13 in beyond its natural length
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