HW01 - Nathan Dawson

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LETS BEGIN!
Problem #1
The number 0.0034 has how many significant figures?
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Problem #2
How many significant figures are there in 1.253 + 17.4?
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Problem #3
In the above table, find the number of significant figures for (a) AG × BG, (b) AH + BH, (c) BG × ( AG + BH ), and (d) BG × AH + AG.
(a)
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(b)
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(c)
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(d)
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Problem #4
(a) How many significant figures are in the solution to 1245 × 0.756 × π ? (b) How many significant figures are in the solution to 1.2 × 0.08454 × 0.003496 + 965.4 × 0.4570?
(a)
Answer part (a)
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(b)
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Problem #5
A light-year (ly) is the distance light travels in one year (at a speed of 2.998 × 108 m/s). An astronomical unit (AU) is the average distance from the Sun to the Earth, where 1 AU = 1.50
× 108 km. (a) How many meters are there in 5.30 ly? (b) How many AU are there in 5.30 ly light-year?
(a)
× 1016 m
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(b)
× 105 AU
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Problem #6
A probe measures the gravitational acceleration on the surface of a large asteroid to be 0.064m/s2. An astronomer then estimates the gravitational acceleration at the surface of a brown
dwarf to be 4800m/s2 . What is the order of magnitude difference between the gravitational acceleration on the brown dwarf and that on the asteroid?
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Problem #7
Force is defined as an object's mass multiplied by the acceleration. If an object weighs 45.7 N (where N = kg m/s2 and is a measurement of force called a Newton) and the acceleration
of gravity is 9.80 m/s2, then what is the number of significant figures after solving for the mass?
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Problem #8
A triangle has angles A = 72.3o, B = 23.2o, and C = 84.5o. A radian is a natural unit where approximately 3.141592 radians = 180o . (a) What is the value of A in radians? (b) What is
the value of B + C in radians?
(a)
radians
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(b)
radians
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Problem #9
Global positioning satellites (GPS) can be used to determine positions with great accuracy. The system works by determining the distance between the observer and each of several
satellites orbiting Earth. (a) If one of the satellites is at a distance of 20,000 km from you, what percent accuracy in the distance is required if we desire a 2 meter uncertainty? (b) How
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many significant figures are needed in the distance?
(a)
%
(b)
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Problem #10
An island 1.0 km wide and 6.0 km long receives 1.0 cm of rain in a 2.0 hour period. How many metric tons (1 ton = 103 kg) of H2O fell on the city? (1 cm3 of H2O has a mass of 1
gram = 10-3 kg.)
metric tons
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Problem #11
(a) How many centimeters are there in a length 70.4 inches? (b) Suppose that a particular artillery piece has a range R = 9640 yards. What is its range in miles (1 mile = 5280 ft and 3 ft
= 1 yard)? (c) What is the speed of a car going v = 1.000 mph in SI units (1 mile = 1609 m and 1 hour = 3600 s)?
(a)
cm
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(b)
mi
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(c)
m/s
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Problem #12
Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the Albert (A), the distance Albert can throw a small rock. One Albert is 63 meters. How many
square Alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2)
A2
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