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Chapter 11: Oscillations and waves

85GP

Page 292

Estimate the average power of a moving water wave that strikes the chest of an adult standing in the water at the seashore. Assume that the amplitude of the wave is 0.50 m, the wavelength is 2.5 m, and the period is 4.0 s.

86GP

Page 292

A tsunami is a sort of pulse or 鈥渨ave packet鈥 consisting of several crests and troughs that become dramatically large as they enter shallow water at the shore. Suppose a tsunami of wavelength 235 km and velocity \(550\;{\rm{km/h}}\) travels across the Pacific Ocean. As it approaches Hawaii, people observe an unusual decrease of sea level in the harbors. Approximately how much time do they have to run to safety? (In the absence of knowledge and warning, people have died during tsunamis, some of them attracted to the shore to see stranded fishes and boats.)

Q10Q

Page 292

What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius \({\bf{r = 0}}{\bf{.84 \pm 0}}{\bf{.04 m}}\)?

Q11P

Page 292

What is the area and its approximate uncertainty of a circle of the radius of \({\bf{3}}{\bf{.1}} \times {\bf{1}}{{\bf{0}}^{\bf{4}}}\;{\bf{cm}}\)?

Q11Q

Page 292

What is the area and its approximate uncertainty of a circle of the radius of \({\bf{3}}{\bf{.1}} \times {\bf{1}}{{\bf{0}}^{\bf{4}}}\;{\bf{cm}}\)?

Q12Q

Page 292

Write the following as full (decimal) numbers without prefixes on the units: (a) 286.6 mm, (b) 85 渭V(c) 760 mg, (d) 62.1 ps, (e) 22.5 nm, (f) 2.50 gigavolts.

Q13P

Page 292

Express the following using the prefixes of Table 1鈥4:

(a) \({\bf{1 \times 1}}{{\bf{0}}^{\bf{6}}}\;{\bf{volts}}\)

(b) \({\bf{2 \times 1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{meters}}\)

(c) \({\bf{6 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{days}}\)

(d) \({\bf{18 \times 1}}{{\bf{0}}^{\bf{2}}}\;{\bf{bucks}}\)

(e) \({\bf{7 \times 1}}{{\bf{0}}^{{\bf{ - 7}}}}\;{\bf{seconds}}\)

Q13Q

Page 292

Express the following using the prefixes of Table 1鈥4:

(a) \({\bf{1 \times 1}}{{\bf{0}}^{\bf{6}}}\;{\bf{volts}}\)

(b) \({\bf{2 \times 1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{meters}}\)

(c) \({\bf{6 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{days}}\)

(d) \({\bf{18 \times 1}}{{\bf{0}}^{\bf{2}}}\;{\bf{bucks}}\)

(e) \({\bf{7 \times 1}}{{\bf{0}}^{{\bf{ - 7}}}}\;{\bf{seconds}}\)

Q14P

Page 292

One hectare is defined as \({\bf{1 \times 1}}{{\bf{0}}^{\bf{4}}}\;{{\bf{m}}^{\bf{2}}}\). One acre is \({\bf{4}}{\bf{.356 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{f}}{{\bf{t}}^{\bf{2}}}\). How many acres are there in one hectare?

Q14Q

Page 292

One hectare is defined as \({\bf{1 \times 1}}{{\bf{0}}^{\bf{4}}}\;{{\bf{m}}^{\bf{2}}}\). One acre is \({\bf{4}}{\bf{.356 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{f}}{{\bf{t}}^{\bf{2}}}\). How many acres are there in one hectare?

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