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fisica1-youn-e-freedman-exercicios-resolvidos

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⎛ mi ⎞ ⎛ 1h ⎞ ⎛ 5280 ft ⎞ ft<br />

1.10: a) ⎜60 ⎟<br />

= 88<br />

hr<br />

⎜<br />

3600s<br />

⎟<br />

⎜<br />

1mi ⎟ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ s<br />

⎛ ft ⎞ ⎛ 30.48cm ⎞ ⎛ 1m ⎞ m<br />

b) ⎜32 = 9.8<br />

2<br />

⎟ ⎜ ⎟<br />

2<br />

s<br />

⎜<br />

1ft<br />

⎟<br />

⎝ ⎠ ⎝ ⎠ ⎝100 cm ⎠ s<br />

⎛ g ⎞ ⎛100 cm ⎞ ⎛ 1kg ⎞ 3 kg<br />

c) ⎜1.0 ⎟ = 10<br />

3<br />

⎟ ⎜ ⎟ ⎜<br />

3<br />

⎝ cm ⎠ ⎝ 1m ⎠ ⎝1000 g ⎠ m<br />

3<br />

1.11: The density is mass per unit volume, so the volume is mass divided by density.<br />

3<br />

3<br />

V = 60 × 10 g 19.5g cm = 3077 cm<br />

( ) ( )<br />

3<br />

4 3<br />

Use the formula for the volume of a sphere, V = πr ,<br />

3<br />

1/ 3<br />

to calculate r : r = ( 3V<br />

4π<br />

) = 9.0cm<br />

7<br />

7<br />

7<br />

1.12: (3.16×<br />

10 s − π × 10 s) (3.16 × 10 s) × 100 = 0.58%<br />

10 m<br />

−3<br />

1.13: a) = 1.1×<br />

10 %.<br />

3<br />

890×<br />

10 m<br />

b) Since the distance was given as 890 km, the total distance should be 890,000<br />

meters.<br />

To report the total distance as 890,010 meters, the distance should be given as<br />

890.01 km.<br />

12 mm × 5.98 mm = 72 mm (two significant figures).<br />

5 .98 mm<br />

= 0.50 (also two significant figures).<br />

1.14: a) ( ) ( )<br />

2<br />

b)<br />

12 mm<br />

c) 36 mm (to the nearest millimeter).<br />

d) 6 mm.<br />

e) 2.0.

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