physics
posted by jimmy .
A satellite of mass 225 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (The mass of the Earth is 5.98 1024 kg, and the radius of the Earth is 6.38 103 km.) (a) Assuming a circular orbit, what is the orbital period of this satellite?

F = m a
G m M/r^2 = m V^2/r
m, the mass of the satellite, is irrelevant, cancels.
G M = V^2 r
distance around circumference = 2 pi r
so t = 2 pi r / V
or V = 2 pi r/t
so
G M = (2 pi)^2 (r^3/t^2)
or
t^2 = (2 pi)^2 r^3/ (G M)
here
G = 6.67*10^=11
M = 5.98 *10^24 Kg
r = 6.38*10^6 + .2*10^6
= 6.58*10^6 meters
so
t^2 = (2 pi)2 *(6.58)^3*(10)^18/(6.57*5.98*10^13)
in seconds
Respond to this Question
Similar Questions

Physics
A satellite of mass 220 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite? 
Math
A satellite is launched into orbit 200 kilometers above the Earth.The orbital velocity of a satellite is given by the formula v=√GmE/r, where v is the velocity in meters per second, G is a given constant, mE is the mass of Earth, … 
Physics
A satellite of mass 210 kg is launched from a site on Earth's equator into an orbit at 210 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite? 
Physics
A satellite used in a cellular telephone network has a mass of 2160 kg and is in a circular orbit at a height of 670 km above the surface of the earth. What is the gravitational force Fgrav on the satellite? 
Physics help PLZ!!
Estimate the energy required from fuel to launch a 1465 kg satellite into orbit 1375 km above the Earth’s surface. Consider two cases: (a) the satellite is launched into an equatorial orbit from a point on the Earth’s equator, … 
physics
Estimate the energy required from fuel to launch a 1465 kg satellite into orbit 1375 km above the Earth’s surface. Consider two cases: (a) the satellite is launched into an equatorial orbit from a point on the Earth’s equator, … 
physics
4(a) What is the magnitude of the gravitational force of the Earth on a surveillance satellite of mass 1040 kg that is in a grazing circular orbit 100 km above the surface of the Earth. (b) Find the magnitude of the acceleration of … 
physics
A spy satellite was launched into a circular orbit with a height of 599 km above the surface of the Earth. Determine its orbital speed and period. (The mass of the Earth is 5.97 1024 kg, and the radius of the Earth is 6370 km.) 
physics
A satellite of mass 205 kg is launched from a site on Earth's equator into an orbit at 200 km above the surface of Earth. (a) Assuming a circular orbit, what is the orbital period of this satellite? 
physics
NASA launches a satellite into orbit at a height above the surface of the Earth equal to the Earth's mean radius. The mass of the satellite is 550 kg. (Assume the Earth's mass is 5.97 1024 kg and its radius is 6.38 106 m.) (a) How …