![subject](/tpl/images/cats/fizika.png)
I have a final project for physics on circular motion, gravitation and Kepler's Laws. I have a set of 7 questions I need to answer first, but I am stuck.
1.) Planet 1 orbits your star in 7.69 x 10
seconds. Find:
a.) The mass of your star
b.) Planet 1's mean orbital radius (In meters)
c.) Planet 1's velocity (m/s)
2.) Planet 1 has a Kepler Constant of 1.24 x 10
. If the radius of Planet 1 is 8 x 10
, find:
a.) Planet 's mass
b.) The acceleration due to gravity at a height of 2000km above the surface.
3.) A synchronous (stays above the same spot) satellite is placed in orbit above Planet 1. Planet 1 has a period of rotation about its axis of 8.85 x 10
seconds. How high above the surface must be the satellite placed?
4.) One of Planet 1's moons orbits Planet 1 at a speed of 1677 m/s. Find:
a.) The orbital radius of this moon
b.) The moon's distance away from Planet 1's surface.
c.) The time it takes the moon to orbit Planet 1, 5 times.
5.) Find the height above the surface of Planet 1 that a 100kg astronaut would weigh 4 times less than what he weighs on at Planet 1's surface.
6.) Planet 2 orbits your star once every 8.43 x 10
seconds. What is the orbital radius of Planet 2?
7.) A visiting astronaut to Planet 2 found he weighs the same as they did back on Earth. If Planet 2's radius is 5.82 x 10
m, what is the mass of Planet 2.
Constant for Star: 5.72 x 10![^{20}](/tpl/images/2593/0875/64b3f.png)
Constant for Planet 1: 1.24 x 10![^{16}](/tpl/images/2593/0875/1a8fd.png)
Moon Orbital Speed 1677 m/s
Any help would be appreciated, thanks.
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Answers: 3
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