# (solution) Problems Related to Chapter 4 1. At the 2016 Rio Olympics, Usain

Problems Related to Chapter 4

1. At the 2016 Rio Olympics, Usain Bolt won the men?s 200m with a time of

19.78s. What was his average speed in mph? In km per hour? In microns

per millisecond?

2. You knock a priceless vase off a table. If the table is 3 ft high and the vase

instantly reaches a terminal velocity of 5m/s, how much time do you have to

catch the vase before it hits the ground and breaks?

3. Express each fractional number in scientific notation:

(a) 1/136 (b)1/1250 (c)1/1,400,000

4. Express each of the following numbers in scientific notation:

(a) 0.07825 (b) 0.09 (c) 1.9 × 10?3 (d) 200 (e) 20,000,000,000

5. Express each of the following as a regular decimal number:

(a) 4.1 × 104 (b) 1.75 × 10?12 (c) 5.5 × 100 (d) 6.0 × 101

6. Express each number in regular decimal form:

(a) 4.8 × 10?7 (b) 2.1 × 10?5 (c) 1.1 × 10?10

7. List the powers of ten used in engineering notation

8. Evaluate the following and express the answer in engineering notation:

(a) (1.1 × 1018) + (7.1 × 1017)

(b) (1.4 × 105) ? (2.8 × 106)

(c) (5.5 × 10?13) ? (6 × 10?11)

(d) (2.0 × 104) ÷ (4.0 × 102)

9. Express each number in engineering notation:

(a) 2.45 × 104 (b) 1.36 × 108 (c) 1.1114 × 108

(d) 1.76 × 10?2 (e) 1.41 × 10?7 (f) 2.84 × 10?6

10. Express the following numbers in ohms using a metric prefix:

(a) 68,000 (b) 7,820,000 (c)18,235,465,748,949

11. Express each of the following as a quantity having a metric prefix:

(a) 17.4 × 10?4A (b) 456.8 × 106V (c) 900 × 10?18C

12. Determine the following:

(a) The number of nanoamperes in an ampere.

(b) The number of millivolts in 0.25 kilovolts.

(c) The number of megohms in 0.3 kilohms.

(d) The number of kilowatts in 632 microwatts.

13. Round each of the following numbers to three significant digits.

(a) 456.8914 (b) 28.5174 (c) 789,456 (d) 396,082 (e) 1.00056

14. From a measurement standpoint briefly discuss the meaning of precision,

accuracy and error. 