6. A ray of light a=<2, 2, 1> from the light source reaches a reflective surfaces and bounces off in direction r. The normal vector to this surface is n=<1, 0, 1>. Compute the reflected light vector r. Show computation steps.
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- 5. Given: Three forces act on particle P. Force A has a magnitude of 15 N and acts 60° CCW from the positive x-axis. Force B has a magnitude of 60 N and acts along a ray from point P with a slope of -4/3. Force C has a magnitude of 10 N and acts straight left (180° CCW from positive x- axis). Find the Vector Sum: a. Draw a neat, labeled, scaled diagram representing the tip-to-tail vector addition R=A+B+C. Rx = 15cos60+60(3/5) — 10 and Ry = 15sin60-60(4/5) b. Add the three vectors to find the scalar components of the resultant, Rx and Ry. C. Find the magnitude of the resultant R and the angle 0 it makes with the positive x-axis.When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as in Figure (a) shown below. The distance from his eyes to the ground is h = 1.88 m. (Assume 0 = 27.6°.) IA h d a b Ө m 0 2.80 m (a) What is the horizontal distance d from the man to the edge of the drainage ditch? d = (b) After the drainage ditch is filled with water as in Figure (b) shown above, what is the maximum distance x the man can stand from the edge and still see the same boundary? X = mAt the very end of Wagner's series of operas Ring of the Nibelung, Brünnhilde takes the golden ring from the finger of the dead Siegfried and throws it into the Rhine, where it sinks to the bottom of the river. Part A Assuming that the ring is small enough compared to the depth of the river to be treated as a point and that depth of the Rhine where the ring goes in is 12.8 m, what is the area of the largest circle at the surface of the water over which light from the ring could escape from the water? Use 1.33 for the index of refraction of water. Express your answer in meters squared. A = —| ΑΣΦ ? m²
- The class I'm taking is physics for scientists and engineers! I am completely stuck . please help. please post step-by-step solution to help me better understand . I have attached problem. Please view before answering. Thank you!help on this one please!!!Need help finding Y-coordinate I tried 2.21, 2.2, 2.208, and 2.206 and all were wrong.
- It’s a sunny Saturday afternoon and you are walking around the lake by your house, enjoying the last few days of summer. The sidewalk surrounding the perimeter of the circular lake is crowded with walkers and runners. You then notice a runner approaching you wearing a T-shirt with writing on it. You read the first two lines, but are unable to read the third line before he passes. You wonder, ”Hmmm, if he continues around the lake, I bet I’ll see him again but I should anticipate the time when we’ll pass again.” You look at your watch and it is 5:07pm. You estimate your walking speed at 3 m/s and the runner’s speed to be about 14 m/s. You also estimate that the diameter of the lake is about 2 miles. At what time should you expect to read the last line of the t-shirt?ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.)What is the angle of refraction, ?2, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.) With what angle of incidence, ?3, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) c.) With what angle of refraction, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) d.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?