and 31. The Mutchkin and the Noggin (a) A mutchkin is a Scottish unit o liquid m
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and 31. The Mutchkin and the Noggin (a) A mutchkin is a Scottish unit o liquid measure equal to 0 42LHow many mutchkins are required 3 and is a volume equal to 0.28 mutchkin. What is the conversion factor between noggins and gallons? m? 32. Suppose 1.0 cubic meter of oil is spilled into the ocean. Find the ce to area of the resulting slick, assuming that it is one molecule thick, mat is and that each molecule occupies a cube 0.50 um on a side and 33. The acceleration of gravity is approximately 9.81 m/s (depend ing on your location). What is the acceleration of gravity in feet per second squared? 34. BIO Squid Nerve Impulses Nerve impulses in giant axons of the squid can travel with a speed of 25.0 m/s. How fast is this in wood SECTION 1-6 ORDER OF MAGNITUDE CALCULATIONS hat a feet. 35. Give a ballpark estimate of thenumber of seats in a typical major league ballpark. 36. Estimate the speed at which your hair grows. Give your answer in meters per second. 37. Milk is often sold by the gallon in plastic containers. (a) Esti mate the number of gallons of milk that are purchased in the United States each year. (b) What approximate weight of plastic does this represent? 38. New York is roughly 3000 miles from Seattle. When it is 10:00 A.M. in Seattle, it is 1:00 P.M. in New York. Using this information, circumference of Earth, and (c) the radius of Earth. GENERAL PROBLEMS 39. CE Which of the following equations are dimensionally consis- tent? (a) v at, (b) v at (c) t a/u, (d) v2 2ax. 40. CE Which of the following quantities have the dimensions of an acceleration? (a) xt2, (b) v2/x, (c) x/t2, (d) v/t 41. Bio Photosynthesis The light that plants absorb to perform pho- tosynthesis has a wavelength that peaks near 675 mm. Express this distance in (a) millimeters and (b) inches here ht of 42. Glacial Speed on June 9, 1983, the lower part of the variegated Glacier in Alaska was observed to be moving at a rate of 210 feet per day. What is this speed in meters per second?Explanation / Answer
32 )
the volume is " V "
V = 1 m3
Area X height = Volume
A X 0.5 X 10-6 = 1
Area = 2 X 106 m2
39 )
a )
v = a t
L T-1 = L T-2 X T
L T-1 = L T-1
dimensionally consistent
b ) 1/2 a t2 = v
L T-2 X T2 = L T-1
dimensionally not consistent
c )
t = a / v
T = L T-2 / L T-1
T = T-1 so dimensionally not consistent
d )
v2 = 2 a x
L2 T-2 = L T-2 X L
L2 T-2 = L2 T-2
so dimensionally consistent
40 )
a )
x t2 = L T2
it is not an acceleration dimension
b )
v2 / x
L2 T-2 / L = L T-2
it is an acceleration dimension
c )
x / t2 = L / T-2
= L T-2
it is an acceleration dimension
d )
v / t
= L T-1 / T
= L T-2
it is an acceleration dimension
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