Physics for Scientists & Engineers & Modern Physics, 9th Ed

Q/C
Q/C
BIO
times larger, does the equation predict that Dt will get 
larger or get smaller? By what factor? (b) What pattern 
of proportionality of Dt to d does the equation predict? 
(c) To display this proportionality as a straight line on 
a graph, what quantities should you plot on the hori-
zontal and vertical axes? (d) What expression repre-
sents the theoretical slope of this graph?
Figure P1.50
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a H
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 51. 
Review. 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.
Squares
Rectangles
Triangles
Circles
Best fit
0.3
0.2
0.1
0
Area (cm
2
)
Dependence of mass on
area for paper shapes
Mass (g)
200
400
600
Figure P1.51
 52. 
The radius of a uniform solid sphere is measured to 
be (6.50 6 0.20) cm, and its mass is measured to be 
(1.85 6 0.02) kg. Determine the density of the sphere 
in kilograms per cubic meter and the uncertainty in 
the density.
 53. 
A sidewalk is to be constructed around a swimming 
pool that measures (10.0 6 0.1) m by (17.0 6 0.1) m.