measurements - Dickey Physics

SUPPLEMENTAL PROBLEMSCopyright © by Glencoe/McGraw-HillCHAPTER 21. Express the following numbers inscientific notation.a. 810 000 g8.1 10 5 gb. 0.000634 g6.34 10 –4 gc. 60 000 000 g6 10 7 gd. 0.0000010 g1.0 10 –6 g2. Convert each of the following timemeasurements to its equivalent inseconds.a. 58 ns5.8 10 –8 sb. 0.046 Gs4.6 10 7 sc. 9270 ms9.27 sd. 12.3 ks1.23 10 4 s3. Solve the following problems. Expressyour answers in scientific notation.a. 6.2 10 –4 m 5.7 10 –3 m6.3 10 –3 mb. 8.7 10 8 km 3.4 10 7 m8.4 10 8 kmc. (9.21 10 –5 cm)(1.83 10 8 cm)1.69 10 4 cm 2d. (2.63 10 –6 m) (4.08 10 6 s)6.45 10 –13 m/s4. State the number of significant digits inthe following measurements.a. 3218 kg4b. 60.080 kg5c. 801 kg3d. 0.000534 kg35. State the number of significant digits inthe following measurements.a. 5.60 10 8 m3b. 3.0005 10 –6 m5c. 8.0 10 10 m2d. 9.204 10 –3 m46. Add or subtract as indicated and state theanswer with the correct number ofsignificant digits.a. 85.26 g 4.7 g90.0 gb. 1.07 km 0.608 km1.68 kmc. 186.4 kg 57.83 kg128.6 kgd. 60.08 s 12.2 s47.9 sPhysics: Principles and Problems Supplemental Problems Manual 41

Chapter 2 (continued)7. Multiply or divide as indicated usingsignificant digits correctly.a. (5 10 8 m)(4.2 10 7 m)2 10 16 m 2b. (1.67 10 –2 km)(8.5 10 –6 km)1.4 10 –7 km 2c. (2.6 10 4 kg) (9.4 10 3 m 3 )2.8 kg/m 3d. (6.3 10 –1 m) (3.8 10 2 s)1.7 10 –3 m/s8. A rectangular room is 8.7 m by 2.41 m.a. What length of baseboard moldingmust be purchased to go around theperimeter of the floor?P 2l 2w2(8.7 m) 2(2.41 m) 22.2 mb. What area must be covered if floor tilesare laid?A lw (8.7 m)(2.41 m) 21 m 29. The following data table was establishedto show the total distances an object fellduring various lengths of time.Time (s)Distance (m)1.0 52.0 203.0 444.0 785.0 123a. Plot distance versus time from thevalues given in the table and draw acurve that best fits all points.1251007550d (m)b. Describe the resulting curve.Parabola; curve starts at origin andis concave upwardc. According to the graph, what is therelationship between distance and timefor a free-falling object?The distance increases faster andfaster with time.10. The total distance a lab cart travels duringspecified lengths of time is given in thefollowing table.Time (s) Distance (m)1.0 0.322.0 0.603.0 0.954.0 1.185.0 1.45a. Plot distance versus time from thevalues given in the table and draw thecurve that best fits all points.d (m)1.501.251.00.75.50.2500 1 2 3 4 5b. Describe the resulting curve.Straight linec. According to the graph, what type ofrelationship exists between the totaldistance traveled by the lab cart andthe time?Linear relationshipd. What is the slope of this graph?M ∆ y 1.5 .∆x5 602 .9 03 .30 m/se. Write an equation relating distance andtime for these data.d .30(t)t (s)Copyright © by Glencoe/McGraw-Hill2500 1 2 3 4 5t (s)42 Supplemental Problems Manual Physics: Principles and Problems

Chapter 2 (continued)11. A cube has an edge of length 5.2 cm.a. Find its surface area.Area of one sideA s 2 (5.2) 2 27 cm 2Total surface area(27 cm 2 )(6) 160 cm 2b. Find its volume.V s 3 (5.2) 3 140 cm 312. A truck is traveling at a constant velocityof 70 km/h. Convert the velocity to m/s. 70 km 1000 m h 360 20 m/sh km0 s13. The density of gold is 19.3 g/cm 3 . A goldwasher has an outside radius of 4.3 cmand an inside radius of 2.1 cm. Itsthickness is 0.14 cm. What is the mass ofthe washer?2.14.3Volume of outside cylinder:V πr 2 h π(4.3) 2 (0.14) 8.1 cm 3Volume of inside cylinder:V πr 2 h π(2.1) 2 (0.14) 1.9 cm 3Volume of washer:8.1 cm 3 1.9 cm 3 6.2 cm 3m dV (19.3 g/cm 3 )(6.2 cm 3 ) 120 gCopyright © by Glencoe/McGraw-HillPhysics: Principles and Problems Supplemental Problems Manual 43