Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 39, Problem 18SP

A farsighted person wears eyeglasses that provide a dioptric power of +3.5 D. How far from his or her eyes must a book be held if it is to be read without using these glasses? Discuss your answer. [Hint: Use Eq. (38.1) and remember that the image distance must be negative. Calculate the positive focal length of the lens. With glasses an object at 25 cm appears to be at si, the near point, where it can be clearly seen by the eye.]

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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following. (a) the time interval during which the ball is in motion 2R (b) the ball's speed at the peak of its path v= Rg 2 √ sin 26, V 3 (c) the initial vertical component of its velocity Rg sin ei sin 20 (d) its initial speed Rg √ sin 20 × (e) the angle 6, expressed in terms of arctan of a fraction. 1 (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. hmax R2 (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range. Xmax R√3 2
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