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Unit Conversions

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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?

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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