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1.) Consider the human eye to be composed of a thin lens of uniform index of refraction n = 1.43, with fluid of n = 1 inside, with the light-receptive cells a distance 24.6mm from the lens. The eye can "focus" on different distances by changing the radius of curvature of its lens
2.) find the radius of curvature for this lens when you are looking at an object a distance of 61.5 mm from your eye's lens. (all incident light rays must still hit the light-receptive cells at the same distance as before)
A gymnast with mass m1 = 49 kg is on the balance beam that sits on (but is not attached to) two supports. The beam has a mass m2 = 126 kg and length L = 5 m. Each support is 1/3 of the way from each end. Initially the gymnast stands at the left en..
In 1974, physicist Gerard K. O'Neil proposed a cylindrical space station that would rotate about its central axis to simulate gravity along the outer surfaces
A hoop of mass 1.9 kg and radius 55 cm has a string wrapped around its circumference and lies flat on a horizontal frictionless table. What is the angular velocity of the hoop about its center of mass after 2 s
Water moves through a constricted pipe in steady, ideal flow. At the lower point the pressure is 1.73 105 Pa and the pipe radius is 2.80 cm. Find the speed of flow in the lower section
At a horizontal distance of 45m from a tree, the angle of elevation to the top of the tree is 26 degrees. How tall is the tree
Assuming that the magnetic field of the earth is like that of a short dipole buried at the center of the earth, calculate the dipole moment of the earth
Consider N atoms confined on a surface of area A at temperature T. The atoms form a two-dimensional (2D) gas of classical, non interacting particles.
A laser beam is directed from air (n = 1.0) into an unknown liquid. The angle of incidence is measured to be 60° and the angle of refraction is measured to be 45°. What is the index of refraction of the unknown liquid?
The plates of a 3.1 nF parallel-plate capacitor are each 0.27 m^2 in area. If the plates are separated by a Teflon sheet, how thick is the sheet
A heart defibrillator passes 10.5 A through a patient's torso for 5.00 ms in an attempt to restore normal beating, How much charge passed
Given a binomial distribution with n = 20 and p = 0.76, would the normal distribution provide a reasonable approximation? Why or why not and find the area under the standard normal curve for the following:
A boat moves through the water with two forces acting on it. One is a 1800 N forward push by the water on the propeller, What will its velocity be at the end of that time
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