Physics
posted by Cat .
A satellite has a mass of 6146 kg and is in a circular orbit 4.57 × 105 m above the surface of a planet. The period of the orbit is 1.6 hours. The radius of the planet is 4.44 × 106 m. What would be the true weight of the satellite if it were at rest on the planet’s surface?
What do I use to find the mass of the unknown planet?

The final equation to use is: W=(GmM)/r^2
m=mass of satelite
M=mass of planet
What is the equation to find the mass of the planet? 
The weight of the planet in orbit is
W = M V^2/R
where R = 4.57*10^5 m and V is the velocity at that altitude,
V = 2 pi R/(period).
Calculate W.
The weight W' of the satellite at the planet's surface is
W'/W = (4.44*10^6/4.57*10^5)^2
because weight is inversely proportional to the square of distance.
The number you want is W'
Respond to this Question
Similar Questions

Physics
A satellite has a mass of 6000 kg and is in a circular orbit 4.20 105 m above the surface of a planet. The period of the orbit is two hours. The radius of the planet is 4.20 106 m. What is the true weight of the satellite when it is … 
Physics
A satellite has a mass of 6135 kg and is in a circular orbit 3.80 105 m above the surface of a planet. The period of the orbit is 2.08 hours. The radius of the planet is 3.85 106 m. What would be the true weight of the satellite if … 
Physics
A satellite has a mass of 5381 kg and is in a circular orbit 4.30 105 m above the surface of a planet. The period of the orbit is 2.06 hours. The radius of the planet is 4.09 106 m. What would be the true weight of the satellite if … 
Physics
A satellite has a mass of 6179 kg and is in a circular orbit 4.83 × 105 m above the surface of a planet. The period of the orbit is 2.4 hours. The radius of the planet is 4.03 × 106 m. What would be the true weight of the satellite … 
physics
A satellite has a mass of 5910 kg and is in a circular orbit 4.69 × 105 m above the surface of a planet. The period of the orbit is 2.1 hours. The radius of the planet is 4.44 × 106 m. What would be the true weight of the satellite … 
physics
A satellite has a mass of 6173 kg and is in a circular orbit 4.71 × 105 m above the surface of a planet. The period of the orbit is 1.6 hours. The radius of the planet is 4.31 × 106 m. What would be the true weight of the satellite … 
PHYSICS
A satellite has a mass of 5949 kg and is in a circular orbit 4.07 × 105 m above the surface of a planet. The period of the orbit is 1.9 hours. The radius of the planet is 4.55 × 106 m. What would be the true weight of the satellite … 
Physics
A satellite has a mass of 6445 kg and is in a circular orbit 4.14 × 105 m above the surface of a planet. The period of the orbit is 2.1 hours. The radius of the planet is 4.52 × 106 m. What would be the true weight of the satellite … 
Physics
A satellite has a mass of 6090 kg and is in a circular orbit 4.63 × 105 m above the surface of a planet. The period of the orbit is 2.4 hours. The radius of the planet is 4.86 × 106 m. What would be the true weight of the satellite … 
Physics
A satellite has a mass of 5823 kg and is in a circular orbit 4.45 × 105 m above the surface of a planet. The period of the orbit is 1.9 hours. The radius of the planet is 4.57 × 106 m. What would be the true weight of the satellite …