University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 34, Problem 34.47E
When a camera is focused, the lens is moved away from or toward the digital image sensor. If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with an 85-mm focal length, how far from the sensor is the lens? Will the whole image of your friend, who is 175 cm tall, fit on a sensor that is 24 mm × 36 mm?
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 34 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 34.1 - If you walk directly toward a plane mirror at a...Ch. 34.2 - A cosmetics mirror is designed so that your...Ch. 34.3 - The water droplets in Fig. 34.23 have radius of...Ch. 34.4 - Prob. 34.4TYUCh. 34.5 - When used with 35-mm film (image area 24 mm 36...Ch. 34.6 - A certain eyeglass lens is thin at its center,...Ch. 34.7 - You are using a magnifier to examine a gem. If you...Ch. 34.8 - Which gives a lateral magnification of greater...Ch. 34 - A spherical mirror is cut in half horizontally....Ch. 34 - For the situation shown in Fig. 34.3, is the image...
Ch. 34 - The laws of optics also apply to electromagnetic...Ch. 34 - Explain why the focal length of a plane mirror is...Ch. 34 - If a spherical mirror is immersed in water, does...Ch. 34 - For what range of object positions does a concave...Ch. 34 - When a room has mirrors on two opposite walls, an...Ch. 34 - For a spherical mirror, if s = f, then s = , and...Ch. 34 - You may have noticed a small convex mirror next to...Ch. 34 - A student claims that she can start a fire on a...Ch. 34 - A person looks at his reflection in the concave...Ch. 34 - In Example 34.4 (Section 34.2), there appears to...Ch. 34 - Prob. 34.13DQCh. 34 - The bottom of the passenger-side mirror on your...Ch. 34 - How could you very quickly make an approximate...Ch. 34 - The focal length of a simple lens depends on the...Ch. 34 - When a converging lens is immersed in water, does...Ch. 34 - A spherical air bubble in water can function as a...Ch. 34 - Can an image formed by one reflecting or...Ch. 34 - If a piece of photographic film is placed at the...Ch. 34 - According to the discussion in Section 34.2, light...Ch. 34 - Youve entered a survival contest that will include...Ch. 34 - BIO You cant see clearly underwater with the naked...Ch. 34 - Prob. 34.24DQCh. 34 - A candle 4.85 cm tall is 39.2 cm to the left of a...Ch. 34 - The image of a tree just covers the length of a...Ch. 34 - A pencil that is 9.0 cm long is held perpendicular...Ch. 34 - A concave mirror has a radius of curvature of 34.0...Ch. 34 - An object 0.600 cm tall is placed 16.5 cm to the...Ch. 34 - An object 0.600 cm tall is placed 16.5 cm to the...Ch. 34 - The diameter of Mars is 6794 km, and its minimum...Ch. 34 - An object is 18.0 cm from the center of a...Ch. 34 - Prob. 34.9ECh. 34 - You hold a spherical salad bowl 60 cm in front of...Ch. 34 - A spherical, concave shaving mirror has a radius...Ch. 34 - For a concave spherical mirror that has focal...Ch. 34 - Dental Mirror. A dentist uses a curved mirror to...Ch. 34 - For a convex spherical mirror that has focal...Ch. 34 - The thin glass shell shown in Fig. E34.15 has a...Ch. 34 - A tank whose bottom is a minor is filled with...Ch. 34 - A speck of dirt is embedded 3.50 cm below the...Ch. 34 - A transparent liquid fills a cylindrical tank to a...Ch. 34 - A person swimming 0.80 m below the surface of the...Ch. 34 - A person is lying on a diving board 3.00 m above...Ch. 34 - A Spherical Fish Bowl. A small tropical fish is at...Ch. 34 - The left end of a long glass rod 6.00 cm in...Ch. 34 - Prob. 34.23ECh. 34 - Prob. 34.24ECh. 34 - Repeat Exercise 34.24 for the case in which the...Ch. 34 - Prob. 34.26ECh. 34 - An insect 3.75 mm tall is placed 22.5 cm to the...Ch. 34 - A lens forms an image of an object. The object is...Ch. 34 - A converging meniscus lens (see Fig. 34.32a) with...Ch. 34 - A converging lens with a focal length of 70.0 cm...Ch. 34 - A converging lens forms an image of an...Ch. 34 - A photographic slide is to the left of a lens. The...Ch. 34 - A double-convex thin lens has surfaces with equal...Ch. 34 - A converging lens with a focal length of 9.00 cm...Ch. 34 - BIO The Cornea As a Simple Lens. The cornea...Ch. 34 - A lensmaker wants to make a magnifying glass from...Ch. 34 - For each thin lens shown in Fig. E34.37, calculate...Ch. 34 - A converging lens with a focal length of 12.0 cm...Ch. 34 - Repeat Exercise 34.38 for the case in which the...Ch. 34 - An object is 16.0 cm to the left of a lens. The...Ch. 34 - Combination of Lenses I. A 1.20-cm-tall object is...Ch. 34 - Combination of Lenses II. Repeat Exercise 34.41...Ch. 34 - Combination of Lenses III. Two thin lenses with a...Ch. 34 - BIO The Lens or the Eye. The crystalline lens of...Ch. 34 - A camera lens has a focal length of 200 mm. How...Ch. 34 - You wish to project the image of a slide on a...Ch. 34 - When a camera is focused, the lens is moved away...Ch. 34 - Zoom Lens. Consider the simple model of the zoom...Ch. 34 - A camera lens has a focal length of 180.0 mm and...Ch. 34 - BIO Curvature of the Cornea. In a simplified model...Ch. 34 - BIO (a) Where is the near point of an eye for...Ch. 34 - BIO Contact Lenses. Contact lenses are placed...Ch. 34 - BIO Ordinary Glasses. Ordinary glasses are worn in...Ch. 34 - BIO A person can see clearly up close but cannot...Ch. 34 - BIO If the person in Exercise 34.54 chooses...Ch. 34 - A thin lens with a focal length of 6.00 cm is used...Ch. 34 - The focal length of a simple magnifier is 8.00 cm....Ch. 34 - You want to view through a magnifier an insect...Ch. 34 - The focal length of the eyepiece of a certain...Ch. 34 - Resolution of a Microscope. The image formed by a...Ch. 34 - A telescope is constructed from two lenses with...Ch. 34 - The eyepiece of a refracting telescope (see Fig....Ch. 34 - A reflecting telescope (Fig. E34.63) is to be made...Ch. 34 - What is the size of the smallest vertical plane...Ch. 34 - If you run away from a plane mirror at 3.60 m/s,...Ch. 34 - Where must you place an object in front of a...Ch. 34 - Prob. 34.67PCh. 34 - A light bulb is 3.00 m from a wall. You are to use...Ch. 34 - CP CALC You are in your car driving on a highway...Ch. 34 - A layer of benzene (n = 1.50) that is 4.20 cm deep...Ch. 34 - Rear-View Mirror. A mirror on the passenger side...Ch. 34 - Figure P34.72 shows a small plant near a thin...Ch. 34 - Pinhole Camera. A pinhole camera is just a...Ch. 34 - Prob. 34.74PCh. 34 - Prob. 34.75PCh. 34 - A Glass Rod. Both ends of a glass rod with index...Ch. 34 - (a) You want to use a lens with a focal length of...Ch. 34 - Autocollimation. You place an object alongside a...Ch. 34 - A lens forms a real image that is 214 cm away from...Ch. 34 - Figure P34.80 shows an object and its image formed...Ch. 34 - Figure P34.81 shows an object and its image formed...Ch. 34 - A transparent rod 30.0 cm long is cut flat at one...Ch. 34 - BIO Focus of the Eye. The cornea of the eye has a...Ch. 34 - The radii of curvature of the surfaces of a thin...Ch. 34 - An object to the left of a lens is imaged by the...Ch. 34 - An object is placed 22.0 cm from a screen. (a) At...Ch. 34 - A convex mirror and a concave mirror are placed on...Ch. 34 - A screen is placed a distance d to the right of an...Ch. 34 - As shown in Fig. P34.89, the candle is at the...Ch. 34 - Two Lenses in Contact. (a) Prove that when two...Ch. 34 - When an object is placed at the proper distance to...Ch. 34 - (a) Repeat the derivation of Eq. (34.19) for the...Ch. 34 - A convex spherical mirror with a focal length of...Ch. 34 - BIO What Is the Smallest Thing We Can See? The...Ch. 34 - Three thin lenses, each with a focal length of...Ch. 34 - A camera with a 90-mm-focal-length lens is focused...Ch. 34 - BIO In one form of cataract surgery the persons...Ch. 34 - BIO A Nearsighted Eye. A certain very nearsighted...Ch. 34 - BIO A person with a near point of 85 cm, but...Ch. 34 - The Galilean Telescope. Figure P34.100 is a...Ch. 34 - Focal Length of a Zoom Lens. Figure P34.101 shows...Ch. 34 - DATA In setting up an experiment for a high school...Ch. 34 - DATA It is your first day at work as a summer...Ch. 34 - Prob. 34.104PCh. 34 - CALC (a) For a lens with focal length f, find the...Ch. 34 - An Object at an Angle. A 16.0-cm-long pencil is...Ch. 34 - BIO People with normal vision cannot focus their...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...Ch. 34 - Given that frogs are nearsighted in air, which...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...
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