This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the plate movement calculations: Question 1: Plate movement calculation Given: Current height of Mount Everest = 8,849 m Growth rate = 5 cm per year = 0.05 m per year Assumption: "Currently" refers to the year 2023 for calculations involving specific years. a) What will be the height in 2082? (one decimal place) Step 1: Calculate the number of years from 2023 to 2082. Years = 2082 - 2023 = 59 years Step 2: Calculate the total height increase over these years. Height increase = 59 years × 0.05 m/year = 2.95 m Step 3: Add the increase to the current height and round to one decimal place. Height in 2082 = 8,849 m + 2.95 m = 8,851.95 m 8,852.0 m b) What would be the average height of Mount Everest in 1901? (one decimal place) Step 1: Calculate the number of years from 1901 to 2023. Years ago = 2023 - 1901 = 122 years Step 2: Calculate the total height decrease over these years. Height decrease = 122 years × 0.05 m/year = 6.1 m Step 3: Subtract the decrease from the current height and round to one decimal place. Height in 1901 = 8,849 m - 6.1 m = 8,842.9 m 8,842.9 m c) How long will it take Mt Everest to reach 8,851 m? Step 1: Calculate the required height increase. Required increase = 8,851 m - 8,849 m = 2 m Step 2: Calculate the time needed to achieve this increase. Time = 2 m0.05 m/year = 40 years 40 years d) What is the projected year for the mountain to reach 8,851 m in height? Step 1: Use the time calculated in part (c) and the assumed current year (2023). Projected year = 2023 + 40 years = 2063 2063 Question 2: Plate movement Given: YT and KB are on opposite sides of a transform boundary. Each moves at a rate of 1.5 cm per year in opposed directions. Relative speed = 1.5 cm/year + 1.5 cm/year = 3 cm/year = 0.03 m/year. Current distance between them = 25 meters. Assumption: "Now" refers to the year 2023 for calculations involving specific years. a) How long will it take for them to be 55 meters apart? (Answers should be in whole numbers) Step 1: Calculate the additional distance they need to move apart. Additional distance = 55 m - 25 m = 30 m Step 2: Calculate the time required for this movement. Time = 30 m0.03 m/year = 1000 years 1000 years b) What will be the distance between the two neighbours in 2045? Step 1: Calculate the number of years from 2023 to 2045. Years = 2045 - 2023 = 22 years Step 2: Calculate the distance increased over these years. Distance increased = 22 years × 0.03 m/year = 0.66 m Step 3: Add the increased distance to the current distance. Distance in 2045 = 25 m + 0.66 m = 25.66 m 25.66 m c) What will be the projected distance between them in 17-years from now? Step 1: Calculate the distance increased over 17 years. Distance increased = 17 years × 0.03 m/year = 0.51 m Step 2: Add the increased