question archive 1) You are at the Olympic Games in the year 200,400

1) You are at the Olympic Games in the year 200,400

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1) You are at the Olympic Games in the year 200,400. Over the millennia, improvements in training and nutrition have improved the speed of the athletes, so the winner of the 100 m dash is measured by an observer in the stadium to run the race at a constant speed of 0.86c.

a) What was the distance of the race, from the runner's point of view?

b) The runner was wearing a (very accurate) watch during the race. How much time elapsed on the watch?

2) A 2.8-cm tall object is placed in 36 cm front of a lens, and an image of the object is created 28 cm behind the lens.

a) Draw a ray diagram showing this situation. Based on the diagram, is the lens converging or diverging? Is the image real or virtual? Is it upright or inverted?

b) What is the focal length of the lens?

c) What is the height of the image?

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