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- A ball is dropped from rest 3.00 m directly above the vertex of a concave mirror having a radius of 1.00 m and lying in a horizontal plane. (a) Describe the motion of the ball’s image in the mirror. (b) At what time do the ball and its image coincide?A ball is dropped at t = 0 from rest 3.00 m directly above the vertex of a concave spherical mirror that has a radius of curvature of magnitude 1.00 m and lies in a horizontal plane. (a) Describe the motion of the ball’s image inthe mirror. (b) At what instant or instants do the ball and its image coincide?Suppose you are standing about 3 m in front of a mirror.You can see yourself just from the top of your head to yourwaist, where the bottom of the mirror cuts off the rest ofyour image. If you walk one step closer to the mirror(a) you will not be able to see any more of your image.(b) you will be able to see more of your image, belowyour waist.(c) you will see less of your image, with the cutoff risingto be above your waist.
- You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle e in radians is related to the linear height of the object h and to the distance d by 8= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 29.0 m behind you. OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR GTarWorks,Inc AL s Hesvedt by Creatous Synd.cae (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.90 m. How far from your eyes is the image of the car following you? (d) What angle does the image subtend at your eyes? rad (e) Based on its angular size, how far away does the following car appear to be? The Far Side" by Gary Larson © 1985 FarWorks, Inc. All Righto Reoerved.…In a problem with a train and two observers, one (A) standing next to the rail while the other one (B) sittingat the rear endof the train. The train is moving seen by Awhile it is stationary seen by B. Event 1: B turns on a flash light in his hand aiming at a mirror hanging at the front end of the train; Event 2: the light illuminated on the mirror and reflected; Event 3: the reflected light reached B. Which time intervals of a pairs of events measured by an observer is considered as proper time and why? (The answer can be more than 1 or just 1 or even none of them.) (a) Event 1 and Event 2 observed by A; (b) Event 1 and Event 3 observed by A; (c) Event 2 and Event 3 observed by A; (d) Event 1 and Event 2observed by B; (e) Event 1 and Event 3 observed by B; (f) Event 2 and Event 3 observed by BThe answer in the back of the book is pasted in the image under the question, but I get a different answer: -1.46 i + 1.75 j. Please let me know which (if any) of the two are right. Thanks,
- You are standing 3.4 m from a convex security mirrorin a store. You estimate the height of your image to be halfof your actual height. Estimate the radius of curvature ofthe mirror.A woman 1.7 m tall stands 3.0 m in front of a plane mirror. What would be the required minimum height of the mirror if she were to stand 5.0 away?A man stands 1.00 m in front of a plane mirror. His eyes are 1.75 m above the ground. The top of the mirror is level with his eyes. How long must the mirror be in order for him to see his shoes in the mirror, assuming that he is standing with both feet firmly on the floor? Does his distance from the mirror matter?
- (a) A goldfish is swimming at 5.80 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank? 4.35 cm/s (b) What If? The fish is now gently transferred to a spherical bowl with a radius of curvature R = 30.0 cm. If it again swims at 5.80 cm/s along a radial line toward the outside of the bowl, what is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank, when the fish is 3.90 cm from the wall? 2.29 x cm/s Need Help? Read It Watch ItThe mirror in the figure (Figure 1)deflects a horizontal laser beam by angle θ. What is the angle ϕ if θ = 62 ∘.(a) A goldfish is swimming at 5.80 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank? cm/s (b) What If? The fish is now gently transferred to a spherical bowl with a radius of curvature R = 30.0 cm. If it again swims at 5.80 cm/s along a radial line toward the outside of the bowl, what is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank, when the fish is 3.90 cm from the wall? cm/s Need Help? Read It Watch It