A student is supplied with a stack of copy paper, ruler, compass, scissors, and a sensitive...

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A student is supplied with a stack of copy paper, ruler, compass, scissors, and a sensitive bal- ance. He cuts out various shapes in various sizes, calculates their areas, measures their masses, and prepares the graph of Figure P1.51. (a) Consider the fourth experimental point from the top. How far is it from the best-fit straight line? Express your answer as a difference in vertical-axis coordinate. (b) Express your answer as a percentage. (c) Calculate the slope of the line. (d) State what the graph demonstrates, refer- ring to the shape of the graph and the results of parts (b) and (c). (e) Describe whether this result should be expected theoretically. (f) Describe the physical meaning of the slope. Mass (g) 0.3 0.2 0.1 Dependence of mass on area for paper shapes 200 400 Area (cm²) 600 Rectangles Squares ▲ Triangles Best fit Circles Figure P1.51 A student is supplied with a stack of copy paper, ruler, compass, scissors, and a sensitive bal- ance. He cuts out various shapes in various sizes, calculates their areas, measures their masses, and prepares the graph of Figure P1.51. (a) Consider the fourth experimental point from the top. How far is it from the best-fit straight line? Express your answer as a difference in vertical-axis coordinate. (b) Express your answer as a percentage. (c) Calculate the slope of the line. (d) State what the graph demonstrates, refer- ring to the shape of the graph and the results of parts (b) and (c). (e) Describe whether this result should be expected theoretically. (f) Describe the physical meaning of the slope. Mass (g) 0.3 0.2 0.1 Dependence of mass on area for paper shapes 200 400 Area (cm²) 600 Rectangles Squares ▲ Triangles Best fit Circles Figure P1.51

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