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Algebra
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13 Dec 2019

The kinetic energy of a moving object varies directly with thesquare of its velocity.

Suppose an object moving with a velocity of 20 meters per secondhas a kinetic energy of 4500 joules.

Find a function for this situation that gives the kinetic energyof that object as a function of its velocity.

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Jean Keeling
Jean KeelingLv2
17 Dec 2019
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Show transcribed image text

Optics The equation 

 

Sometimes called a lens -maker's equation gives the relationship between the focal length f of a thin lens, 

the distance p of the object from the lens, and the distance q of its image from the lens,. We can think of 

the eye as an optical system in which the ciliary muscle constantly adjusts the curvature of the cornea -lens

system to focus the image on the retina. Assume that the distance from the cornea to the retina is 2.5 cm, as shown in the figure below.

a. Find the focal length of the cornea -lens system if an object located 50 cm, away is to be focused on the retina.

b. What is the rate of change of the focal length with respect to the distance of the object when the object is 50 cm away?

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