A geostationary satellite is a satellite that isalways at a fixed position with respect to anyposition on the planet, i.e. as the planetsrotate around their axis, the satellite rotatesat the same angular rate as the the planet.The planet Mercury has a radiusr= 2.44×10° m and a massm = 3.301× 1043 kg. An average solar dayon the planet Mercury is T= 1408 h. Ageostationary satellite of m, = 33775 kg isat a height h = 2.405×10° m. (Use%3DN m2for theG = 6.674×10-11kg2gravitational constant).1. Calculate the the average speed of thegeostationary satellite on its orbitaround the planet: V =2. Calculate the centripetal accelerationof the satellite at this height? a.=3. What is the magnitude of thecentripetal force on the satellite?F =4. What is the magnitude of thegravitational force on the satellite?F =

Answered: Image /qna-images/answer/78bff5d8-95ab-43d0-b56f-41bb11c8fa23.jpg

A geostationary satellite is a satellite that is always at a fixed position with respect to any position on the planet, i.e. as the planets rotate around their axis, the satellite rotates at the same angular rate as the the planet. The planet Mercury has a radius r= 2.44x10° m and a mass m=3.301× 1023 kg. An average solar day

A geostationary satellite is a satellite that is always at a fixed position with respect to any position on the planet, i.e. as the planets rotate around their axis, the satellite rotates at the same angular rate as the the planet. The planet Mercury has a radius r= 2.44x10° m and a mass m=3.301× 1023 kg. An average solar day

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Selected astronomical data for Jupiter's moon Adrastea is given in the table. From these data,…

Q: As shown in the image, the axis of Earth makes a 23.5∘23.5∘ angle with a direction perpendicular to…

A: a) L = I w = 2 M R2 w / 5 = 0.4 * 5.98 * 1024 * (6.38 * 106)2 * 2 pi / 86400 = 7.08 * 1033 kg.m2/s…

Q: A small moon of a giant planet has an orbital period of 1.25 days and an orbital radius of 4.92 x…

Q: Calculate the angular momentum (in kg · m2/s) of Mars in its orbit around the Sun. (The mass of Mars…

A: m=Mass of Mars=6.42×1023 kgr=Radius of orbit=2.279×1011 mT=Orbital period=1.88 yearsR=Radius of…

Q: The earth's radius is 6.37×106m6.37×106m; it rotates once every 24 hours. What is the speed of a…

Q: You are participating in a NASA traineeship, working with a group planning a new landing on Mars.…

Q: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from…

A: R=1.8×107 mM=4.8×1024 kg From the conservation of energy, 12mv2=GMm2R, here G is gravitational…

Q: 1000 kg satellite orbits the earth with a speed of 9997 m/sm/s. What is the radius of the orbit?…

Q: Model the Moon's orbit around the Earth as an ellipse with the Earth at one focus. The Moon's…

A: Apogee, rA = 4.05 x 108 m Perigee, rP = 3.63 x 108 m

Q: 1. The Soyuz are a Russian spacecraft used to take astronauts to the International Space Station…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data: v= 1.1 X 104 m/s M= 6.04 X 1024 m/s m= 1.2 X 103 kg The radius of orbit R and Universal…

Q: A thin, circular ring B (mass m, radius r) is placed in the gravitational field of a particle P…

Q: While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a…

Q: Consider the Earth-Moon system. What practical uses can you think of that utilize the L1 point?

A: L1 is one of the five equilibrium points in the orbit of the planet and moon called the Lagrange…

Q: Let asteroid A have a mass of 7.86 x 1011 kg and asteroid B have a mass of 1.12 x 10° kg. If there…

A: The expression for the distance between the asteroids is,

Q: Callisto and lo are two of Jupiter's satellites. The distance from Callisto to the center of Jupiter…

A: Given data *The distance from Callisto to the center of Jupiter is approximately 4.5 times the…

Q: A spherical shell has uniform density of 4.6 kg/m³. It has an inner radius 2.5 m and outer radius…

Q: A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 0.50 m. What is the…

Q: A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it…

Q: A solid sphere of uniform density has a mass of 8.7 x 104 kg and a radius of 1.2 m. What is the…

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

Q: A spherical shell of inner diameter R and outer diameter 3 R has a uniform density ρ. What is the…

Q: Ganymede is a moon of Jupiter (mass = 1.90 x 1027 kg). It orbits Jupiter in a circle of radius 1.07…

A: Given Mass of Jupiter M =1.9*1027 kg Radius r = 1.07*109 m

Q: One of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the…

A: The expression for the required gravitational potential energy,

Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…

A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…

Q: At apogee, the center of the moon is 406,395 km from the center of Earth and at perigee, the moon is…

A: Moon at the perigee and apogee of Earth. Mass of Earth, M = 5.98 X 1024 kg Distance b/w centre of…

Q: Two electrons in a molecule are 3.80 x 10-10 m apart. Calculate the magnitude of the gravitational…

A: Gravitational force is one of the fundamental forces of nature. It is responsible for keeping…

Q: In the year 8000 (Y8K) the mass of the Earth has increased (due to excessive space mining). As a…

Q: A solid sphere of uniform density has a mass of 7.2 × 104 kg and a radius of 4.4 m. What is the…

Q: A planet has a mass of 4.0 × 1024 kg and a radius of R = 5.0 × 106 m. A cannon on the planet's…

A: Given that a planet has a mass of 4.0 × 1024 kg radius = R = 5.0 × 106 m Let V be the speed at the…

Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…

A: Gravitational force between two masses F = Gm₁m₂/r²

Q: A rack of seven spherical bolwing balls (each 7.30 kg, radius of 9.30 cm) is positioned along a line…

A: The gravitational force exerted between two masses M and m is calculated by using the formula…

Q: Assume the Earth is a uniform sphere with constant density. Let R represent the radius of the Earth…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

Q: Calculate mass of the Earth

A: Answer : Consider the mass of the earth is M , mass of the moon is m , the average distance from…

Q: A "low-Earth orbit" refers to a satellite whose circular orbit is only slightly above the surface of…

Q: A solid sphere of uniform density has a mass of 6.2 × 104 kg and a radius of 3.6 m. What is the…

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

100%

A geostationary satellite is a satellite that is
always at a fixed position with respect to any
position on the planet, i.e. as the planets
rotate around their axis, the satellite rotates
at the same angular rate as the the planet.
The planet Mercury has a radius
r= 2.44×10° m and a mass
m = 3.301× 1043 kg. An average solar day
on the planet Mercury is T= 1408 h. A
geostationary satellite of m, = 33775 kg is
at a height h = 2.405×10° m. (Use
%3D
N m2
for the
G = 6.674×10-11
kg2
gravitational constant).
1. Calculate the the average speed of the
geostationary satellite on its orbit
around the planet: V =
2. Calculate the centripetal acceleration
of the satellite at this height? a.=
3. What is the magnitude of the
centripetal force on the satellite?
F =
4. What is the magnitude of the
gravitational force on the satellite?
F =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Jupiter revolves around Sun in a circular orbit with a radius of 7.78 x 10^11 m. It takes 11.86 Earth years for the Jupiter to complete one orbit around Sun. If the mass of the Jupiter is 1.9x10^27kg, calculate the mass of the Sun.
The planet Mars has two moons, phobos and delmos. (1) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 × 10 km . Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun. with the martian orbit being 1: 52 times the orbital radius of the earth. What is the length of the martian year in days?
The masses and coordinates of three spheres are as follows: 24 kg, x = 2.1 m, y = 0 m; 54 kg, x = -2.1 m, y = 0 m; 220 kg, x = 0 m, y = 2.4 m. What is the magnitude of the gravitational force on a 84 kg sphere located at the origin due to the other spheres? Number i 0.0000014 Units N
a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e
A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.65 x 104 m/s, and the radius of the orbit is 3.73 x 106 m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellite has a radius of 7.24 x 106 m. What is the orbital speed of the second satellite?
a) A 2000. kg satellite is put into a circular orbit around the earth (mass = 6.00 X 1024 kg). If the earth has a radius of 6.44 X 106 meters and the satellite is located 8.58 X 107 meters above the earth's surface, what must be the orbital velocity of the satellite ? (2.08 X 103 m/s) b) How many days will it take the satellite to make one complete revolution (orbit) around the earth ? (3.22 days) I need help with how to get the answers. The answers are in().
Like all planets, the planet Venus orbits the Sun in periodic motion and simultaneously spins about its axis. Just as on Earth, the time to make one complete orbit (i.e., the period of orbit) is what defines a year. And the time to make one complete revolution about its axis (i.e., the period of rotation) is what defines a day. The period of orbit for the Earth is 365.25 days and the period of rotation is 24 hours (1.00 day). But when these same values for Venus are expressed relative to Earth, it is found that Venus has a period of orbit of 225 days and a period of rotation of 243 days. So for Venus inhabitants, a day would last longer than a year! Determine the frequency of orbit and the frequency of rotation (in Hertz) on Venus.
You have a super high-tech spacecraft travelling through space that gets caught in a circular orbit around a mysterious object of mass 10 times that of the Sun and a radius of 30km. Your team decides to observe the behavior of this object but due to the heat that it's giving off, it is required that your satellite obtain a circular orbit of at least r = 5.3e5km to be considered 'safe'. You are currently in a circular orbit with r = 4.1e5km. What is the minimum delta-v required to reach the safe orbit
The figure below shows a spherical hollow inside a lead sphere of radius R = 4.00 cm. The surface of the hollow passes through the center of the sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was M = 2.50 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 0.459 kg that lies at a distance d = 9.00 cm from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?
The mean distance of an asteroid from the Sun is 1.74 times that of Earth from the Sun. From Kepler's law of periods, calculate the number of years required for the asteroid to make one revolution around the Sun.
An Earth satellite has an orbital period of 5.3 h. What is its orbital radius? (ME = 5.98 x 1024 kg)
A comet that was seen in April 574 by Chinese astronomers on a day known by them as the Woo Woo day was spotted again in May 1994. Assume the time between observations is the period of the Woo Woo day comet and its eccentricity is 0.9932.What are (a) the semimajor axis of the comet’s orbit and (b) its greatest distance from the Sun in terms of the mean orbital radius RP of Pluto?