Question: Albeit a simulation, this experiment has provided an opportunity for you to empirically determine the value of the Universal Gravitational constant G = 6.67 x 10-11 N kg2/m² on the Earth. How does the value of G vary in distant parts of the solar system, galaxy, even outside the Milky Way Galaxy? You might make a quick study of "Newton's law of universal gravitation" to answer this question.

Question: Albeit a simulation, this experiment has provided an opportunity for you to empirically determine the value of the Universal Gravitational constant G = 6.67 x 10-11 N kg2/m² on the Earth. How does the value of G vary in distant parts of the solar system, galaxy, even outside the Milky Way Galaxy? You might make a quick study of "Newton's law of universal gravitation" to answer this question.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 25PQ

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So let's consider a person with a mass of 51.0 kg standing on the Earth. To find the gravitational force on the person, we'll again use Newton's law of universal gravitation with the Earth as m2 and the radius of the Earth for the distance F = GmME RE2 . Now all we need to do is substitute values and calculate. We already said m = 51.0 kg, and we know G = 6.67 ✕ 10−11 N · m2/kg2. The Earth is not a perfect sphere, but, its average radius is RE = 6.37 ✕ 106 m. The mass of the Earth is ME = 5.97 ✕ 10−24 kg. We can then substitute these values in the following formula. (Enter your answer in N.) F = (6.67 ✕ 10−11 N · m2/kg2)(51.0 kg)(5.97 ✕ 1024 kg) (6.37 ✕ 106 m)2 (A) = _______ N Now let's compare this result to the person's weight (in N) found by multiplying the person's mass by g (or, that is, w = mg) where g = 9.80 m/s2. w = (51.0 kg)(9.80 m/s2) =(b) __________________ N You should have found that these two methods give about the same result!…
Please help with the following questions as they are related to one another. Thank you very much!
The mass of Mars is M = 6,42 · 1023 kg, and its radius is R = 3396 km.a) Determine the gravitational acceleration on the surface of Mars.b) How high can an astronaut jump on Mars and how high on Earth if in both caseshe leaves the ground with a starting speed v0 = 1 m/s?The value of the gravitational constant is G = 6,67 · 10−11 m3 kg−1s−2.
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