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2 years ago

9

Who is the greek philisopher who came up with the idea that atoms exist

1 answer:

Mariulka [41]2 years ago

4 0

Greek philosophers Leucippus and Democritus first developed the concept of the atom in the 5th century B.C.E.

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Upper A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away f

Sav [38]

Answer:

The ladder is moving at the rate of 0.65 ft/s

Explanation:

A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second. We need to find the rate at which the top of the ladder moving down when the foot of the ladder is 5 feet from the wall.

The attached figure shows whole description such that,

$x^2+y^2=256$ .........(1)

$\dfrac{dx}{dt}=2\ ft/s$

We need to find, $\dfrac{dy}{dt}$ at x = 5 ft

Differentiating equation (1) wrt t as :

$2x.\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0$

$2x+y\dfrac{dy}{dt}=0$

$\dfrac{dy}{dt}=-\dfrac{2x}{y}$

Since, $y=\sqrt{256-x^2}$

$\dfrac{dy}{dt}=-\dfrac{2x}{\sqrt{256-x^2}}$

At x = 5 ft,

$\dfrac{dy}{dt}=-\dfrac{2\times 5}{\sqrt{256-5^2}}$

$\dfrac{dy}{dt}=0.65$

So, the ladder is moving down at the rate of 0.65 ft/s. Hence, this is the required solution.

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2 years ago

Solar energy can be changed into thermal energy without any work being done. true or false

Black_prince [1.1K]

Answer:

True

Explanation:

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vesna_86 [32]

Molecules, The movemnet of molecules

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vivado [14]

Answer is C...........

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