Many people mistakenly believe that astronauts who orbit Earth are “above gravity." Calculate g for space shuttle territory, 200 km above Earth's surface. Earth's mass is 6.0 × 10²4 kg, and its radius is 6.38 X 106 m (6380 km). Your answer is what percentage of 9.8 m/s²? Remember that g is the gravitational acceleration, which you can find from Newton's 2nd law a Thus, m G Mearth m d² m Fg Mearth G- d %3| m -11 m³ where G = 6.67 × 10 kg s? Once you compute g using the equation above you can find what percentage of 9.8 m/s² that is by doing 9.8 82 х 100 т

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.12P
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Many people mistakenly believe that astronauts who
orbit Earth are “above gravity." Calculate g for space
shuttle territory, 200 km above Earth's surface. Earth's
mass is 6.0 × 1024 kg, and its radius is 6.38 × 106 m
(6380 km). Your answer is what percentage of 9.8 m/s²?
Remember that g is the gravitational acceleration, which you can find from
Newton's 2nd law a
F
Thus,
т
F,
G Mearth m
G Mearth
||
m
d m
= 6.67 x 10-11 m³
kg s?
where G
Once you compute g using the equation above you can find what
percentage of 9.8 m/s? that is by doing
9.8
s2
х 100
m
Transcribed Image Text:Many people mistakenly believe that astronauts who orbit Earth are “above gravity." Calculate g for space shuttle territory, 200 km above Earth's surface. Earth's mass is 6.0 × 1024 kg, and its radius is 6.38 × 106 m (6380 km). Your answer is what percentage of 9.8 m/s²? Remember that g is the gravitational acceleration, which you can find from Newton's 2nd law a F Thus, т F, G Mearth m G Mearth || m d m = 6.67 x 10-11 m³ kg s? where G Once you compute g using the equation above you can find what percentage of 9.8 m/s? that is by doing 9.8 s2 х 100 m
Newton's universal law of gravity tells us that
F = G-
Tulu
d?
Fme
Newton's second law tells us that a
net
m
a. With a bit of algebraic reasoning, show that your
gravitational acceleration toward any planet of mass M
GM
a distance d from its center is a =
d?
b. How does this equation tell you whether or not your
gravitational acceleration depends on your mass?
In the previous question I gave you the answer to a.
Give your answer to b. below
Edit
View
Insert
Format
Tools
Table
B I
12pt v
Paragraph v
A v
>
>
>
>
>
Transcribed Image Text:Newton's universal law of gravity tells us that F = G- Tulu d? Fme Newton's second law tells us that a net m a. With a bit of algebraic reasoning, show that your gravitational acceleration toward any planet of mass M GM a distance d from its center is a = d? b. How does this equation tell you whether or not your gravitational acceleration depends on your mass? In the previous question I gave you the answer to a. Give your answer to b. below Edit View Insert Format Tools Table B I 12pt v Paragraph v A v > > > > >
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