8_Physics ProblemsTechnical Physics

# 8_Physics ProblemsTechnical Physics - 8 Physics and...

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8 Physics and Measurement *P1.24 (a) Length of Mammoth Cave = F H G I K J == × = × 348 1609 1 560 5 60 10 5 60 10 57 mi km mi km m cm . .. . (b) Height of Ribbon Falls = F H G I K J = × 1612 0 1 491 m 0 491 4 91 10 4 ft .304 8 m ft km cm . (c) Height of Denali = F H G I K J × = × 20 320 0 1 6 6 19 10 6 19 10 35 ft .304 8 m ft .19 km m cm . (d) Depth of King’s Canyon = F H G I K J × = × 8200 0 1 2 2 50 10 2 50 10 ft .304 8 m ft .50 km m cm . P1.25 From Table 1.5, the density of lead is 113 10 4 . k g m 3 × , so we should expect our calculated value to be close to this number. This density value tells us that lead is about 11 times denser than water, which agrees with our experience that lead sinks. Density is defined as mass per volume, in ρ = m V . We must convert to SI units in the calculation. = F H G I K J F H G I K J 23 94 210 1 1000 100 1 114 10 3 3 4 . . g cm kg g cm m k g m 3 At one step in the calculation, we note that one million cubic centimeters make one cubic meter. Our result is indeed close to the expected value. Since the last reported significant digit is not certain, the difference in the two values is probably due to measurement uncertainty and should not be a
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