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The writing on the passenger-side mirror of your car says "Warning! Objects in mirror are closer than they appear"(Figure 1). There is no such warning on the driver's mirror. Consider a typical convex passenger-side mirror with a focal length of -80 cm. A 1.5-m-tall cyclist on a bicycle is 28 m from the mirror. You are 1.4 m from the mirror, and suppose, for simplicity, that the mirror, you, and the cyclist all lie along a line.

 

Part A

How far are you from the image of the cyclist?

Express your answer to two significant figures and include the appropriate units.

 

Part B

How far would you have been from the image if the mirror were flat?

Express your answer to two significant figures and include the appropriate units.

 

Part C

What is the image height?

Express your answer to two significant figures and include the appropriate units.

 

Part D

What would the image height have been if the mirror were flat?

Express your answer to two significant figures and include the appropriate units.

 

Part E

Why is there a warning label on the passenger-side mirror?

The mirror at the passenger's side is often convex to make the viewing angle

The image is smaller than the object and so the driver might think that the object is at a greater distance than it is in reality, so if the driver stop suddenly thinking the cyclist will have time to stop also, he might be unpleasantly surprised.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The writing on the passenger-side mirror of your car says "Warning! Objects are closer than they appear." There is no such warning on the driver's mirror. Consider a typical convex passenger-side mirror with a focal length of -80cm. A 1.5m -tall cyclist on a bicycle is 24m from the mirror. You are 1.2 m from the mirror and suppose, for simplicity, that the mirror, you, and the cyclist all lie along a line.

How far are you from the image of the cyclist.

 

In many cars, the passenger's side mirror has the following warning "Objects in mirror are closer than they appear" embossed on the mirror surface. Your group decides to conduct the following experiment to verify this statement. One member of your group holds a plane mirror just below the passenger's side mirror (radius of curvature =1.60 m) so that you can view an 8.4-cm tall object 2.4 m away from both mirrors. By placing a small ruler on the surface of each mirror, you find that the object appears to be 2.10cm tall in the plane mirror and 1.20cm tall in the passenger's side mirror when you view the images at a distance of .80m in front of the mirrors. Are the images real or virtual? Is the passenger's side mirror concave or convex? Show why the image in the passenger's side mirror appears to be farther away than the object actually is or as viewed on the plane mirror. (Hint:Draw a ray diagram of the object, image, mirror, and your eye for each mirror so that you have a better idea of what your eyes see i.e. the apparent angular size of the image and the corresponding apparent distance away as seen by your eye for both mirrors)

a candle is placed in front of a convex mirror.

A candle is placed in front of a convex mirror.

Solved: A Candle Is Placed In Front Of A Convex Mirror. Fi... | Chegg.com

Figure6 of 6The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C. The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C.

Part A Consider the following diagrams noting that the scale is different between diagrams. In these diagrams, C and F represent the center of curvature and the focal point of the convex mirror, respectively. The image formed by the mirror is obtained using the ray tracing technique. Which diagram(s) are correct?(Figure 1) (Figure 2) (Figure 3) Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on.

Part B If the radius of curvature of the convex mirror is 50.0 cm , at what distance do from the mirror must the candle be placed so that its image is formed 20 cm from the mirror? Express your answer in centimeters. View Available Hint(s) dod o d_o = cm The convex mirror is now replaced by a concave mirror with the same radius of curvature.

Part C Consider the following diagrams, where now C and F represent, respectively, the center of curvature and the focal point of the concave mirror. Again, the image formed by the mirror is found by ray tracing. Choose the correct diagram(s).(Figure 4) (Figure 5) (Figure 6) Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on. View Available Hint(s)

Part D Assuming that the candle remains at a distance do from the mirror (the same distance found in Part B), at what distance di from the mirror will its image form now? Express your answer in centimeters. View Available Hint(s) did i d_i = nothing cm

The figure labeled A shows two rays coming out of the top of the object, one parallel to the axis of the mirror, and the other at an acute angle with the axis. The parallel to the axis ray reflects upper, than its initial way was, and the other ray reflects parallel to the axis. Prolongations of the reflected rays and the lower initial ray are shown beyond the mirror. There is a focus point F on the axis behind the mirror and the center C of the mirrorâs curvature. An image is smaller, than the object, and is located closer than the focus point F and its tip is an intersection of the prolongations of the upper reflected ray and lower initial ray. The prolongation of the reflected rays run through point F for the upper ray and through point C for the lower ray.

В Image Object

Image Object

A Object Image

Object Image

Object Image

 

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