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1. Use standard SI units to express each of the following measurements.
E.g.: 2.7 km = 2700 m.
a) 0.56 km f) 7564 g
b) 75 cm g) 0.056 t
c) 3224 mm h) 252 g
d) 655 mm i) 52 us
e) 961 um j) 15 a
2. For each number below, determine the number of significant digits.
a) 908 b) 7.60
c) 0.0050 d) 0.010
e) 760 f) 0.000 000 000 69
g) 6.743
3. Use scientific notation to express each of these numbers.
a) 6807 b) 0.000 053
c) 5200 d) 39 879 280 000 (7 sig digs)
e) 0.000 000 000 813 f) 0. 070 40
g) 40 000 000 000 (1 sig dig) h) 0.80
i) 68
4. Write each of the following without scientific notation.
a) 7 X 101 b) 5.2 X 103
c) 8.3 X 109 d) 10.1 X 10-2
e) 6.3868 X 103 f) 4.086 X 10-3
g) 6.3 X 102
5. Make the following calculations, and express your answer in significant digits.
a) 463.66 + 29.2 + 0.17 b) 426.66 - 39.2
c) (2.6)(42.2) d) (65)(0.041)(325)
e) (0.0060)(26)(55.1) f) 650/4.0
g) 0.452/0.012 h) (5.21)(0.45)/0.0060)
i ) (3.5)1/2 j) (4.9)1/2
6. Carry out these calculations, and express your answer in an appropriate scientific way.
A) (1 X 102)(1 X 101) B) (1 X 104)(1 X 102)
C) (1 X 10-2)(1 X 105) D) (1 X 10-6)(1 X 102)
E) (1 X 102)/(l X 105) F) (1 X 104)/(l X 107)
G) (1 X 10-6)/(l X 102) H) (1 X 10-6)/(l X 10-7)
I) (1.4 X 102)(3 X 101) J) (3.5 X 104)(2.0 X 10-3)
K) (5.0 X 10-5)(4.00 X 10-3) L) (5.0 X 107)/(3.0 X 103)
M) (6.63 X 10-34)/(4.8 X 10-9) N) (5.0 X 106)(7.0 X 10-4)/(2.00 X 10-5)
O) (6.63 X 10-34)(3.00 X 108)/(5.98 X 10-9)
P) (0.534)(6.2 X 10-3)/(4.0 X 101)
Q) (360)(5.0 X 10-4)/(0.000 30)
R) (6.67 X 10-11)(5.98 X 1024)(50)/(7.0 X 107)(7.0 X 107)
7. How many gold atoms could stack on top of each other in a gold foil with a thickness of
1.0 X 10-7 m? Assume gold atoms are cubes with sides 2.5 X 10-9 m in length.
8. On average 2.2 X 1025 atoms are present in 1.0 kg of silicon. How many atoms
would there be in a block of silicon 10 cm by 1.2 cm by 15.6 cm. For your calculations,
take the density of silicon to be 2.7 g/cm3, or 2.7 X 103 kg/m3.
9. Calculate how many meters there are in a light year. Light travels at 3 X 108 m/s.
10. A gold atom is 2.5 X 10-10 m in "diameter." If you assume that the gold atoms line up
in rows, about how many atoms would there be in a cubic centimeter of gold?
11. The following measurements are made on a balance which has a possible error of 0.01 g.
For these measurements, what is the possible percentage error?
a) 700 g b) 20 g c) 3 kg d) 1.0 g
12. A measurement of Planck's constant produces measurements of 5.78 X 10-34 J.s and
7.29 X 10-34 J.s. The correct value is 6.63 X 10-34 J.s. Calculate
a) the percentage difference for the measured values?
b) the percentage error for each value?
13. a) For each frequency, calculate the period.
a) 100 Hz b) 0.60 Hz c) 2.0 X 103 Hz
b) For each period, calculate the frequency.
a) 0.10 s b) 0.02 s c) 1.0 s.
14. A rotary saw blade is "stopped" by a twelve-slit strobe which rotates 24 times in 10.0 s.
Assuming that this is the highest "stopping" frequency, what is the frequency of the saw
blade in revolutions per minute?
15. The period of a spinning motor shaft is determined to be 0.025s when a ten-slit
stroboscope is rotated at a constant rate for 20.0 s. Determine the number of rotations of
the stroboscope during the 20 s interval?
16. What are the proportioning statements for each of the following tables of values.
17. Determine the relationship between d and t for the following data.
November 14, 2013
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