1] The fastest growing plant on record is the Hesperoyucca whipplei. Suppose a plant of this type grows 3.4 m in 14 days. What is its growth rate in micrometers per second?Number …….. Unit ………2] Horses are to race over a certain English meadow for a distance of 7.2 furlongs. What is the race distance in units of (a) rods and (b) chains? (1 furlong = 201.168 m, 1 rod = 5.0292 m, and 1 chain = 20.117 m.)Units ……..Units ……..3] Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The units of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge. The marks have been repainted biannually by fraternity pledges since the initial measurement, usually during times of traffic congestion so that the police could not easily interfere. (Presumably, the police were originally upset because a Smoot is not an SI base units, but these days they seem to have accepted the units.) Figure 1-4 shows three parallel paths, measured in Smoots (S), Willies (W), and Zeldas (Z). What is the length of 40.0 Smoots in (a) Willies and (b) Zeldas?(a) Number:…….. Unit: …….(b) Number:…….. Unit: …….4] Time standards are now based on atomic clocks. A promising second standard is based on pulsars, which are rotating neutron stars (highly compact stars consisting only of neutrons). Some rotate at a rate that is highly stable, sending out a radio beacon that sweeps briefly across Earth once with each rotation, like a lighthouse beacon. Pulsar PSR 1937+21 is an example; it rotates once every 1.55780644887275 ± 3 ms, where the trailing ±3 indicates the uncertainty in the last decimal place (it does not mean ±3 ms). (a) How many times does PSR 1937+21 rotate in 81.0 days? (b) How much time (in s) does the pulsar take to rotate 3.00 × 106 times and (c) what is the associated uncertainty, in s?(a)Number………Units……….(b)Number……… Units……..(c)Number …….. Units ……..5] On a spending spree in Malaysia, you buy an ox with a weight of 27.0 piculs in the local unit of weights: 1 picul = 100 gins, 1 gin = 16 tahils, 1 tahil = 10 chees, and 1 chee = 10 hoons. The weight of 1 hoon corresponds to a mass of 0.3779 g. When you arrange to ship the ox home to your astonished family, how much mass in kilograms must you declare on the shipping manifest?Number …….. Unit ………6] Earth has a mass of 5.98 × 1024 kg. The average mass of the atoms that make up Earth is 40 u. How many atoms are there in Earth?Number ………. Unit ……….
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