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
distance from the black hole’s center at which light cannot escape its
gravitational field. The quantity RS (with dimensions of length) is
dependent on the mass of the black hole M, the speed of light c, and
the gravitational constant G. Based on the dimensions of these four
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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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