# Unit Conversions

1. Write the following quantities in standard units.

(a) 0.66 Ms

(b) 3.5 km

(c) 27 mg

(d) 125 cm

2. Compute, in centimeters and meters, the height of a basketball player 6 ft 4 in tall.

3. Is the following statement reasonable?

It took 380 L of gasoline to fill up the car's tank.

4. A car travels through a school zone at a speed of 33 km/h. Was the 25 mi/h speed limit exceeded?

5. Compute the density in g/cm3 of a piece of metal that has a mass of 0.425 kg and a volume of 78 cm3.

6. Round off the following numbers to two significant figures.

(a) 93.23

(b) 0.00105

(c) 9356

(d) 0.000414

7. What is the result of (3.51 m 1.62 m)/0.22 m with the proper number of significant figures?

8. A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 8.39 107 km. Radio waves travel at the speed of light (3.00 108 m/s). How many seconds does it take for the signal to reach the Earth?

9. A student drives the 100 mi trip back to campus after spring break and travels with an average speed of 57 mi/h for 1 hour and 30 minutes.

(a) What distance was traveled during this time?

(b) Traffic gets heavier, and the last part of the trip takes another half-hour. What was the average speed during this leg of the trip?

(c) Find the average speed for the total trip.

10. At a track meet, a runner runs the 100 m dash in 11 s. What was the runner's average speed?

#### Solution Summary

This solution is comprised of detailed explanation and step-by-step calculation of the given problems and provides students with a clear perspective of the underlying concepts.