1. A fisherman catches two striped bass. The smaller of the two has a measured length of 96.49 cm (two decimal places, four significant figures), and the larger fish has a measured length of 145.1 cm (one decimal place, four significant figures). What is the total length of fish caught for the day? (Enter your answer to the correct number of digits.)

2. How many significant figures are there in each of the following?(a)8.92010⁹ (b)3.120.01 (c)2.310⁹ (d)0.02010

3. The speed of light is now defined to be 2.997 924 5810⁸m/s.(a) Express the speed of light to three significant figures. m/s (b) Express the speed of light to five significant figures. m/s (c) Express the speed of light to seven significant figures. m/s

4. Suppose your hair grows at the rate of 1/33 inch per day. Find the rate at which it grows. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis. nm/s

5. The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.6 m tall and that the nerve impulse travels at uniform speed.) s

6. Newton's law of universal gravitation can be expressed by the equation

F = G

Mm

r²

,

where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg m/s². What are the SI units of the proportionality constant G?

m²

kg s²

m²

kg s³

m³

kg s²

m³

kg s³

7. Use the rules for significant figures to find the answer to the addition problem

S=16.4+14+10.17+2.603.

HINT

S=

8. A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is approximately 6 ft in length. Take the distance from Earth to the Moon to be223,000miles, and use the given approximation to find the distance in fathoms. (Enter a number with the correct number of significant figures.) fathoms

9. Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth. (We estimate that the length of a step for an average person is about 18 inches, or roughly 0.5 m. The radius of the Earth is 6.38 10⁶ m.) 10⁵ steps10⁸ steps 10¹¹ steps10¹⁵ steps10²⁰ steps

10. A certain car has a fuel efficiency of 37.1 miles per gallon (mi/gal). Express this efficiency in kilometers per liter (km/L). km/L