An object of mass m moves at a constant speed v in a circular path of radius r.
An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F=mv2/r. Newton's Law of Universal Gravitation is given by F=GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v= √(GM/r).
Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 x 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.)
The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), arld therefore appears to remain stationary above a point on Earth.]
_______ mi/s
Homework Answers
Add Answer to:
An object of mass m moves at a constant speed v in a circular path of radius r.
Consider a satellite of mass m moving in a circular orbit around the Earth at a...
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
For communications purposes, satellites are typically placed in a circular geosynchronous orbit. If the orbit is...
For communications purposes, satellites are typically placed in a circular geosynchronous orbit. If the orbit is in the equatorial plane of the Earth, it is called geostationary. A satellite’s orbital speed in a geostationary orbit is set to match the angular velocity Ωe of the rotating Earth (with mass M), so that as seen from the Earth the satellite is stationary above a fixed point on the Equator. For a satellite of mass m in a geostationary circular orbit then...
An electron with charge −e and mass m moves in a circular orbit of radius r...
An electron with charge −e and mass m moves in a circular orbit of radius r around a nucleus of charge Ze, where Z is the atomic number of the nucleus. Ignore the gravitational force between the electron and the nucleus. Find an expression in terms of these quantities for the speed of the electron in this orbit. (Use any variable or symbol stated above along with the following as necessary: k for Coulomb's constant.) v = ?
A satellite of mass m (where m ≪ Me) is initially in a circular orbit around...
A satellite of mass m (where m ≪ Me) is initially in a circular orbit around the Earth at a height of 410 km above the Earth’s equator. Its operators would like to move it into a geosynchronous orbit using a Hohmann transfer orbit. Assume a spherical Earth with radius 6371 km. (a) Sketch the satellite’s Hohmann transfer orbit. (b) Find the satellite’s initial (circular) orbital speed according to an inertial observer. (c) Find the maximum height of the satellite...
Find the orbital speed of a satellite in a geosynchronous circular orbit 3.45×107 m above the...
Find the orbital speed of a satellite in a geosynchronous circular orbit 3.45×107 m above the surface of the Earth.
A satellite of mass m completes one revolution around the earth at a constant speed s...
A satellite of mass m completes one revolution around the earth at a constant speed s and radius r. Which of the following statements are false? The centripetal force is directed towards the center and is nonzero. The net force is directed inwards towards the earth. The satellite is accelerating. The magnitude of the work done by the earth on the satellite is nonzero. All of the above are true.
A satellite of mass m is in a circular orbit of radius r about a planet...
A satellite of mass m is in a circular orbit of radius r about a planet of mass M. The period of the satellite's orbit is T. A second satellite of mass 2m is in a circular orbit of radius 2r around the same planet. The period of orbit for the second satellite is 2T 8T O2T OT O 4T
An object of mass m moves in a vertical circle of radius R at a constant...
An object of mass m moves in a vertical circle of radius R at a constant speed v. The work done by the centripetal force as the object moves from the top to the bottom of the circle is: A. mgR B. 1/2*mv^2 C. 2mgR D. 0 E. mgR+1/2*mv^2
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
A satellite of mass m is in a circular orbit of radius r about a planet of mass M. The period of the satellite's orbit is T. A second satellite of mass 2m is in a circular orbit of radius 2r around the same planet. The period of orbit for the second satellite is 2T 8T O2T OT O 4T
Most questions answered within 3 hours.
-
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 2 minutes ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 49 seconds ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 41 minutes ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 45 minutes ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 42 minutes ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 49 minutes ago -
Are adult gamers less likely to use a gaming console (Xbox,
PlayStation, Wii, etc...) than teen...
asked 1 hour ago -
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 1 hour ago -
The length of stay at a specific emergency department in
Phoenix, Arizona, in 2009 had a...
asked 1 hour ago -
. Please give the mechanism for this type of problem. Step by
Step
The toxin that...
asked 1 hour ago -
If you have a 1M stock solution and you want to dilute 1 :10
with water,...
asked 1 hour ago -
In a load instruction, the effective address is obtained by
A) Retriving the address from a...
asked 1 hour ago