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3 years ago

10

A water tank holds 504 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 672 gallons but is leak

ing at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

1 answer:

Orlov [11]3 years ago

7 0

Answer:

That will be 75.6 if am nt mistaken

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Answer:

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Step-by-step explanation:

Given

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Required

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First, we calculate the spring constant (k)

$F = kx_1$

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The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

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This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

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