Ch 5 HW: Problem 5.4 - Gravity and Circular Orbits The mass of the Sun is 1.99 x 1030 kg. The mass of Earth is 5.98 x 1024 kg. The distance between
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Ch 5 HW: Problem 5.4 - Gravity and Circular Orbits
The mass of the Sun is 1.99 x 1030 kg.
The mass of Earth is 5.98 x 1024 kg.
The distance between their centers is 1.50 x 1011 meters.
The radius of Earth is 6380 km.
a) What is the Earth's orbital velocity around the Sun, in miles/hour? Answer with 2 SF.
b) At what distance from Earth can an object be placed so that the net gravitational force
exerted by Earth and the Sun on that object is zero? Answer as a multiple of Earth's radius.

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( a ) Let Earth's orbital shape be circular:
F
. = GMm
= my 2
GM m = rmv 2
GM
= V
(6.67 x 10&quot; m kg 5 )(1. 99x 1030
kg)
(1.5 x 10&quot; m )
V
V = 29747.04 m/s
To mph ...
29747.04 m
3600s
1...

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