The majority of satellites orbiting the Earth do so at altitudes between 160 and 2,000 kilometers. Find the tangential velocity needed to keep a satellite in orbit at an altitude of 2000 km from the surface of the Earth. Answer this problem in the following two questions below. Question 3 First, you want to find an equation for the velocity at which the centripetal force F. = mư is equal to the force of gravity F, = GMm. Set F. = F, and solve for v, what do you get? Ov = Gm Ov = Gm Ov= GmM Question 4 Now that you have an equation for v, plug the following values in the right variables in the equation and calculate the velocity. Gravitational Constant = 6.7 x 1011 m kg1 s:2 Mass of the Earth = 6 x 10^24 kg Radius of the Earth - 6,370 km Give your answer in units of km/s HINT: Add the Radius of the Earth and the altitude of the satellite to get r, i.e.r = Radius of the Earth + 2000 km (and don't forget to change the units o meters),

Physics for Scientists and Engineers: Foundations and Connections
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Chapter2: One Dimensional Motion
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Please help with both questions 3 and 4 since they are related to one another and I need help with both. Thank you so much in advance!

The majority of satellites orbiting the Earth do so at altitudes between 160 and 2,000 kilometers. Find the tangential velocity needed to keep a satellite in orbit at an altitude of 2000 km from the surface of the Earth.
Answer this problem in the following two questions below.
Question 3
First, you want to find an equation for the velocity at which the centripetal force Fc =
mu?
is equal to the force of gravity F, = GMm
Set F. =
F, and solve for v, what do you get?
v =
GM
Gm
Gm
O v=
GmM
V
Question 4
Now that you have an equation for v, plug the following values in the right variables in the equation and calculate the velocity.
Gravitational Constant = 6.7 x 10:11 m3 kg-1 s2
Mass of the Earth = 6 x 10^24 kg
Radius of the Earth = 6,370 km
Give your answer in units of km/s
HINT: Add the Radius of the Earth and the altitude of the satellite to get r, i.e. r = Radius of the Earth + 2000 km (and don't forget to change the units to meters),
Transcribed Image Text:The majority of satellites orbiting the Earth do so at altitudes between 160 and 2,000 kilometers. Find the tangential velocity needed to keep a satellite in orbit at an altitude of 2000 km from the surface of the Earth. Answer this problem in the following two questions below. Question 3 First, you want to find an equation for the velocity at which the centripetal force Fc = mu? is equal to the force of gravity F, = GMm Set F. = F, and solve for v, what do you get? v = GM Gm Gm O v= GmM V Question 4 Now that you have an equation for v, plug the following values in the right variables in the equation and calculate the velocity. Gravitational Constant = 6.7 x 10:11 m3 kg-1 s2 Mass of the Earth = 6 x 10^24 kg Radius of the Earth = 6,370 km Give your answer in units of km/s HINT: Add the Radius of the Earth and the altitude of the satellite to get r, i.e. r = Radius of the Earth + 2000 km (and don't forget to change the units to meters),
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