HW #1 PHYS

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Brigham Young University, Idaho *

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100

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Physics

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Dec 6, 2023

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docx

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3

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Chapter 1 2 . A car is traveling at a speed of 33 m/s . (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit? (a) To convert the speed from meters per second to kilometers per hour, you can multiply by the conversion factor of 3.6. So, 33 m/s * 3.6 = 118.8 km/h. Mt/seg = 0.001kl/0.00027778 = 3.599 ~ 3.6 (b) Yes, the car is exceeding the 90 km/h speed limit. The car is traveling at 118.8 km/h, which is 28.8 km/h faster than the speed limit. 9 . Tectonic plates are large segments of the Earth’s crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year. (a) What distance does it move in 1 s at this speed? (b) What is its speed in kilometers per million years? (a) To find the distance the plate moves in 1 second, we can use the formula: distance = speed x time. In this case, the time is 1 second, and the speed is 4.0 cm/year. So, distance = 4.0 cm/year x (1/year) = 4.0 cm. (b) To convert the speed from cm/year to km/million years, we can use the conversion factor of 3.17 x 10^-14. So, 4.0 cm/year * 3.17 x 10^-14 km/cm * (1/million years) = 1.28 x 10^-14 km/million years. 10 . (a) Refer to Table 1.3 to determine the average distance between the Earth and the Sun. Then calculate the average speed of the Earth in its orbit in kilometers per second. (b) What is this in meters per second?
15 . (a) Suppose that a person has an average heart rate of 72.0 beats/min. How many beats does he or she have in 2.0 y? (b) In 2.00 y? (c) In 2.000 y? (a) To find the number of beats in 2.0 years, we can use the formula: number of beats = heart rate x time. In this case, the heart rate is 72.0 beats/min, and the time is 2.0 years. To convert the time to minutes, we have 2.0 years * 365 days/year * 24 hours/day * 60 minutes/hour = 5,256,000 minutes. So, the number of beats = 72.0 beats/min * 5,256,000 min = 379,392,000 beats. (b) In 2.00 y the number of beats would be the same as in (a) = 379,392,000 beats (c) In 2.000 y the number of beats would be the same as in (a) = 379,392,000 beats It's worth noting that the decimal places of the year doesn't change the number of beats, since the heart rate and beats per minute are constant. 17 . State how many significant figures are proper in the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01 (b) (18.7) (c) (1.60×10−19)(3712) (a) The result should have 4 significant figures. The least number of significant figures in the numbers used in the calculation is 1.01 which has 2 significant figures. So, the result should have 2 significant figures. (b) The number 18.7 has 3 significant figures. (c) The result should have 3 significant figures. The least number of significant figures in the numbers used in the calculation is 3712 which has 4 significant figures. So, the result should have 4 significant figures. It's worth noting that when doing calculations with numbers that have different amount of significant figures, the result should have the same number of significant figures as the number with the least amount of significant figures.
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