Question

A satellite of mass 5450 kg orbits the Earth and has a period of 6520 s...

A satellite of mass 5450 kg orbits the Earth and has a period of 6520 s . A)Determine the radius of its circular orbit. Express your answer using three significant figures and include the appropriate units. B)Determine the magnitude of the Earth's gravitational force on the satellite. Express your answer using three significant figures and include the appropriate units. C)Determine the altitude of the satellite. Express your answer using three significant figures and include the appropriate units.

Homework Answers

Answer #1

The following equation is called Kepler’s third law.


T^2 = (4 * π^2 ÷ G * M) * r^2

a) Determine the radius of its circular orbit.
Express your answer using three significant figures and include the appropriate units.
Vo^2*(r+h) = M*G
{(r+h) = M*G/Vo^2 = 4*10^14/Vo^2
{2*PI*(r+h)/Vo = 6520
6.28*4*10^14/Vo^3 =6520
Vo = ³√6.28*4*10^14/6520 = 7276.525 m/sec
(r+h) = M*G/Vo^2 = 4*10^14/7276.525^2 = 7.555*10^6 m

b) Determine the magnitude of the Earth's gravitational force on the satellite.
Express your answer using three significant figures and include the appropriate units.
g' = g*r^2/(r+h)^2 = 9.8*(6.37/7.555)^2 = 6.967 m/sec^2
F = m*g' = 5450*6.967 ≈ 37.969 kN

c)Determine the altitude of the satellite.
Express your answer using three significant figures and include the appropriate units.
h = (r+h)-r = (7.555-6.37)*10^6 = 1.185*10^6 m (≈ 1185 km)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A satellite of mass 5570 kg orbits the Earth and has a period of 6600 s...
A satellite of mass 5570 kg orbits the Earth and has a period of 6600 s . determine the radius of its circular orbit. Express your answer using three significant figures and include the appropriate units. r = Determine the magnitude of the Earth's gravitational force on the satellite. Express your answer using three significant figures and include the appropriate units. Fgrav = Determine the altitude of the satellite. Express your answer using three significant figures and include the appropriate...
A satellite of mass 5520 kg orbits the Earth and has a period of 6700 s...
A satellite of mass 5520 kg orbits the Earth and has a period of 6700 s . A) Determine the radius of its circular orbit. B) Determine the magnitude of the Earth's gravitational force on the satellite. C) Determine the altitude of the satellite.
A satellite of mass 5490 kg orbits the Earth and has a period of 6660 s...
A satellite of mass 5490 kg orbits the Earth and has a period of 6660 s . a) Determine the radius of its circular orbit. b) Determine the magnitude of the Earth's gravitational force on the satellite c) Determine the altitude of the satellite.
A satellite of mass 5530 kg orbits the Earth and has a period of 6680 s...
A satellite of mass 5530 kg orbits the Earth and has a period of 6680 s . Part A Determine the radius of its circular orbit. Part B Determine the magnitude of the Earth's gravitational force on the satellite.
A satellite orbits the Earth uniformly in a circular orbit with a velocity of magnitude 4.00...
A satellite orbits the Earth uniformly in a circular orbit with a velocity of magnitude 4.00 km/s. Use Newton's gravitation force as the force in Newton's Law of Acceleration, using also the centripetal acceleration . Solve for radius r of the satellite's orbit in terms of v . (a) Find then the altitude of the satellite above the surface of the Earth. Earth's mass and radius are 5.9810 kg and 6.3810 km. (b) Find the time it takes the satellite...
A satellite of mass 350 kg is in a circular orbit around the Earth at an...
A satellite of mass 350 kg is in a circular orbit around the Earth at an altitude equal to the Earth's mean radius. (a) Find the satellite's orbital speed. m/s (b) What is the period of its revolution? min (c) Calculate the gravitational force acting on it. N
A satellite in Earth orbit has a mass of 98 kg and is at an altitude...
A satellite in Earth orbit has a mass of 98 kg and is at an altitude of 293 ? 103 km. (a) What is the potential energy of the Earth-Satellite system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What is the magnitude of the gravitational force exerted by the satellite on the Earth?
Problem: Predict/Calculate Problem 12.34 Part A Calculate the orbital period of a satellite that orbits at...
Problem: Predict/Calculate Problem 12.34 Part A Calculate the orbital period of a satellite that orbits at one Earth radii above the surface of the Earth. Express your answer to three significant figures and include appropriate units. Part C Calculate the orbital period of the satellite if the Earth’s mass were to double to 1.194×1025kg and everything else were to remain the same. Express your answer to three significant figures and include appropriate units. Express your answer to three significant figures...
15. A satellite in Earth orbit has a mass of 107 kg and is at an...
15. A satellite in Earth orbit has a mass of 107 kg and is at an altitude of 1.91 106 m. (Assume that U = 0 as r → ∞.) (a) What is the potential energy of the satellite–Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter...
please include steps and reasoning A satellite in Earth orbit has a mass of 110 kg...
please include steps and reasoning A satellite in Earth orbit has a mass of 110 kg and is at an altitude of 1.94 106 m. (Assume that U = 0 as r--->infinity) (a) What is the potential energy of the satellite–Earth system? =_______ J (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? =_______ N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT