Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 1, Problem 38P
To determine
To write: The dimension and SI unit of the constant
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Newton’s law of universal gravitation is represented byF = G Mm r 2where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s 2 . What are the SI units of the proportionality constant G?
Schwarzschild radius RS of a black hole is the maximum
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G has dimensions of [L3/MT2]
Newton's law of universal gravitation can be expressed by the equation
F = G
Mm
r2
,
where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?
Chapter 1 Solutions
Physics for Scientists and Engineers
Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10P
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- Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103arrow_forwardIn astronomy, a unit of distance is used called the Astronomical Unit. It is the average distance from the Earth to the Sun. If 1 au is 1.49 × 1011 m, and a light-year is the distance it takes light to travel in 1 year elapsed time (light travels at a speed of c = 3.0 x 108 ), then how many au is it to get to Alpha Centauri (our closest star with a planetary system) if is 4.367 lightyears away?arrow_forwardKepler's third law states that for any object in a gravitational orbit, P2∝a3P2∝a3 where PP is the orbital period of the object and aa is the average distance between the object and what it is orbiting. In our Solar System, the natural units are distances measured in astronomical units (A.U.) and orbital periods measured in years. This can be seen for the Earth-Sun system which has an orbital period P=1P=1 year and an average distance a=1a=1 AU. Using these natural units in the Solar System, the proportionality becomes an equality, so for our Solar System: (Pyears)2=(aA.U.)3(Pyears)2=(aA.U.)3 . Using your mathematical prowess, determine what the orbital period in years would be for an asteroid that was discovered orbiting the Sun with an average distance of 25 astronomical units.arrow_forward
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