Problem Set 1 ENVS 25 Spring 2024 5. Here is an excerpt from a news release: SYDNEY, 10 August 2006: In a study published in the online issue of the U.S. journal, Science, researchers at the University of Texas in Austin bave calculated that the Greenland ice sheet has been melting at an accelerated rate since 2004. "This melting alone will contribute about 0.6 millimetres a year of the global sea level rise." If the Greenland cap melted completely, it would raise global mean sea level by about 6.5 metres. If this was to occur, most of the world's coastal regions would be subject to flooding," the authors wrote. The researchers now estimate that about 240 cubic kilometres of the ice sheet is disappearing annually.... Greenland's ice cap is] 3,000 metres in height. It also contains about 2.5 million cubic kilometres, or 10% of the world's total ice mass.If you were an editor of the news outlet that was going to publish this, you might want to do a fact-check. Perform the necessary calculations to check the consistency of the numerical values in this news release. You can take the area of Greenland to be 2.2 x 106 km². a. First, the news item says that (1) melting is currently contributing 0.6 mm/y to sea level rise and (2) that 240 km of ice are disappearing annually. Additional information: Ice is about 10% less dense than water. The oceans have an area of 3.5 x 104 m² i. What volume of ice melt accounts for 0.6 mm/y of sea level rise? ii. SLR: 0.6mm/year Total SLR: 6.5m Ice Cap: 3000m Melt: 240 km/year kecap shave: 10% Are these numbers, (1) and (2), consistent/compatible (that is, when expressed in the same units, are they within 10% of each other)? (yes/no) Ocean arca: 3.5x10m² IM ⋅ year 1000 = 0.6m² 3.5x10". year 1000-10003.m 3.5x 10m² (1km) (1000m)³ 2-1-10Km² 2.1-104-12 km³ i) V: ? km²/year 240-200 240 = 1012 year 2.1-102 km³ (1.1) pie year =2.1x10 km³/year 2.1.103 km² x year 117 *0.9 1.89x10 KM² water year year 200 km³/year 40 = 16.7% 240 NO 200km³/year ii. NO b. Next, the article says that if all the Greenland ice melted then sea level rise would be 6.5 m. Is this consistent with the fact that the ice cap contains "2.5 million cubic kilometres" of ice? (within 10% of each other) (yes/no) c. The quoted volume of ice is 2.5 million cubic km, and the quoted height of the ice cap is 3000 m. Are these consistent (the same order of magnitude)? You can assume that the shape of the ice cap is more like a cone (rather than a rectangular prism). (yes/no) 3

Problem Set 1 ENVS 25 Spring 2024 5. Here is an excerpt from a news release: SYDNEY, 10 August 2006: In a study published in the online issue of the U.S. journal, Science, researchers at the University of Texas in Austin bave calculated that the Greenland ice sheet has been melting at an accelerated rate since 2004. "This melting alone will contribute about 0.6 millimetres a year of the global sea level rise." If the Greenland cap melted completely, it would raise global mean sea level by about 6.5 metres. If this was to occur, most of the world's coastal regions would be subject to flooding," the authors wrote. The researchers now estimate that about 240 cubic kilometres of the ice sheet is disappearing annually.... Greenland's ice cap is] 3,000 metres in height. It also contains about 2.5 million cubic kilometres, or 10% of the world's total ice mass.If you were an editor of the news outlet that was going to publish this, you might want to do a fact-check. Perform the necessary calculations to check the consistency of the numerical values in this news release. You can take the area of Greenland to be 2.2 x 106 km². a. First, the news item says that (1) melting is currently contributing 0.6 mm/y to sea level rise and (2) that 240 km of ice are disappearing annually. Additional information: Ice is about 10% less dense than water. The oceans have an area of 3.5 x 104 m² i. What volume of ice melt accounts for 0.6 mm/y of sea level rise? ii. SLR: 0.6mm/year Total SLR: 6.5m Ice Cap: 3000m Melt: 240 km/year kecap shave: 10% Are these numbers, (1) and (2), consistent/compatible (that is, when expressed in the same units, are they within 10% of each other)? (yes/no) Ocean arca: 3.5x10m² IM ⋅ year 1000 = 0.6m² 3.5x10". year 1000-10003.m 3.5x 10m² (1km) (1000m)³ 2-1-10Km² 2.1-104-12 km³ i) V: ? km²/year 240-200 240 = 1012 year 2.1-102 km³ (1.1) pie year =2.1x10 km³/year 2.1.103 km² x year 117 *0.9 1.89x10 KM² water year year 200 km³/year 40 = 16.7% 240 NO 200km³/year ii. NO b. Next, the article says that if all the Greenland ice melted then sea level rise would be 6.5 m. Is this consistent with the fact that the ice cap contains "2.5 million cubic kilometres" of ice? (within 10% of each other) (yes/no) c. The quoted volume of ice is 2.5 million cubic km, and the quoted height of the ice cap is 3000 m. Are these consistent (the same order of magnitude)? You can assume that the shape of the ice cap is more like a cone (rather than a rectangular prism). (yes/no) 3

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.FOM: Focus On Modeling: Linear Programming

Problem 14P

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