Two satellites are in circular orbits around a planet that has radius Rp = 9.00 × 106 m. One satellite has mass m₁ = 68.0 kg, orbital radius 1₁ = 5.00 × 107 m, and orbital speed v₁ = 4800 m/s. The second satellite has mass m₂ = 84.0 kg and orbital radius 12 = 3.00 × 107 m. a. Calculate the orbital speed of the second satellite. b. Calculate the total mechanical energy of both satellites.

Two satellites are in circular orbits around a planet that has radius Rp = 9.00 × 106 m. One satellite has mass m₁ = 68.0 kg, orbital radius 1₁ = 5.00 × 107 m, and orbital speed v₁ = 4800 m/s. The second satellite has mass m₂ = 84.0 kg and orbital radius 12 = 3.00 × 107 m. a. Calculate the orbital speed of the second satellite. b. Calculate the total mechanical energy of both satellites.

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: A student wishes to predict the magnification of an image given the distance from the object to a…

A: The magnification produced by the lens is given by m =vu where, v is the distance of image, u is…

Q: he International Space Station has a mass of 4.12 x 105 kg and is orbiting at an altitude of about…

A: In this question we have to find the speed of the International Space Station in its orbit. Please…

Q: 2.0 Moons of Jupiter 1.0 Moons of Saturm 05 04 06 0.8 1.0 12 1.4 1.6 The diagram shows two graphs of…

A: (a) By Kepler's third law, T2 is directly proportional to R3. Hence, the graph is straight line.

Q: Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 542…

Q: as a planet Venus moves in its orbit around the sun Venus and the sun are separated by an average…

A: Given The average distance between sun and venus is R = 1.08 x 1011 m. The time taken by venus to…

Q: Satellites A and B are flying around the earth. The masses of bothsatellites are 5,000 kg. The…

A: The problem is asking for the gravitational forces acting on two satellites, A and B, orbiting the…

Q: Triton is a satellite of the planet Neptune. The mean orbital distance from Triton to Neptune is…

A: a) Given, Time= 5.88 days=5.88x24x60x60=508032s Ans. The value of Triton’s orbital period in…

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

Q: The mass of the Earth is 5.98 x 1024 kg, and its radius is 6.37 x 106 m. A. What distance from the…

A: Satellite orbit

Q: The two stars in a binary star system have masses 2.0 × 10³0 kg and 6.0 × 1030 kg. They are…

Q: The International Space Station is orbiting at an altitude of about 370 km above the earth's…

A: Given that, The altitude of the space station from the surface of the earth is h=370(km)=370×103(m)…

Q: Turksat 5A Satellite is launched in a circular orbit 700 km above the earth’s surface. a. How long…

A: Radius of orbit r= 700 Km = 700 x 103 m Radius of earth R = 6380 km = 6380 x 103 m (a) We know the…

Q: 1. A planet with a mass of 7.5 x 1025 kg moves around a 9.5 x 1031 kg star in a perfectly circular…

A: Given Data, Mass of the planet (m)=7.5×1025 kg Mass of the star (M)=9.5×1031 kg Radius of the…

Q: Deimos, one of Mars's moons, has a mass of about 2.0 x 10¹5 kg and a diameter of about 12 km. An…

Q: A projectile of mass m is launched from the surface of the earth at an angle α with the vertical. If…

A: When two-dimensional motion of an object gives an initial velocity and is projected into the air at…

Q: A planet of mass m = 6.35 x 1024 kg orbits a star of mass M = 1.85 × 1029 kg in a circular path. The…

Q: Two satellites are in circular orbits around a planet Part A that has radius 9.00 x 106 m. One…

Q: A geosynchronous satellite moves in a circular orbit around Earth (i.e., its period is 24 hours).…

Q: A certain planet has an average surface area that is 80% larger than the earth and a gravitational…

Q: Geostationary satellites are satellites which are orbiting the Earth above the equator and make one…

A: a) The required orbital radius is, b) The required orbital speed is,

Q: You are on the surface of a planet with no atmosphere. This planet has mass 9.8 x 1023 kg and…

A: Mass, M = 9.8 x 1023 kg radius, R = 1.3 x 105 m initial velocity, u = 12.8 x 103 m/s final speed, v…

Q: the earth has a mass of 5.98x10^24 kg and a radius of 6.38*10^3 km. the moon has a period of 27.3d…

A: Given: mass of earth, M = 5.98*1024 kg radius of earth, R =6.38*103 km…

Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

Q: A 55,000 kg space capsule is in a 30,000-km-diameter circular orbit around the moon. A brief but…

Q: A satellite circles the earth in an orbit whose radius is 2.66 times the earth's radius. The earth's…

A: Radius = 2.66Earth's Mass = 5.98 x 1024 kg and its mass = 6.38 x 106 m

Q: A planet of mass m = 4.75 × 1024 kg orbits a star of mass M = 2.85 × 1029 kg in a circular path. The…

A: The star of mass,

Q: © Macmillan Learning A horizontal meter stick has a mass of 211 g. Three weights ride on the meter…

Q: 5. a. How far from the center of the earth does a satellite to be to have an orbital period of 6…

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: Given : v1 = 2.5 x 104 m/s d1 = 3 x 1011 m d2 = 5.3 x 1010 m

Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…

A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…

Q: A satellite is launched to orbit the Earth at an altitude of 1.10 x 107 m for use in the Global…

Q: A satellite has an orbital radius of 100km above the earth's surface. Earths mass= 5.97x10^24kg.…

Q: Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit…

A: given , radial distance , R = 7000 Km G*M = 4 x 1014

Q: Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 800…

Q: A satellite is placed in orbit around the Earth (use radius of 6.38*10^6 m) at a surface altitude of…

A: radius of earth (r) = 6.38×106 m altitude (h) = 3×106 m mass of satellite (m) = 750 kg mass of…

Q: n the year 25 000 the Earth is 1.42x1011 m away from the sun and in a circular orbit, but a year…

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A: Given: The time period is T=4.50 Earth yr. The mass is m=3.5X1030 kg. The expression for radius is:…

Question

Two satellites are in circular orbits around a planet that has radius
Rp = 9.00 x 106 m. One satellite has mass m₁ = 68.0 kg, orbital radius
r₁ = 5.00 × 107 m, and orbital speed v₁ = 4800 m/s. The second satellite has
mass m₂ = 84.0 kg and orbital radius 12 = 3.00 x 107 m.
a. Calculate the orbital speed of the second satellite.
b. Calculate the total mechanical energy of both satellites.

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: Given and Find:

VIEW

Step 2: Expression to calculate the mass of the planet:

VIEW

Step 3: Calculating the orbital speed of the second satellite:

VIEW

Step 4: Expression to calculate the total mechanical energy of the satellite:

VIEW

Step 5: Calculating the total mechanical energy of the first satellite:

VIEW

Step 6: Calculating the total mechanical energy of the second satellite:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 7 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

Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (≈ 22, 000 miles). Part A What is the period of a satellite in a geosynchronous orbit? Express your answer with the appropriate units. ► View Available Hint(s) T = Submit Part B g= µÅ Value Find the value of g at this altitude. Express your answer with the appropriate units. ► View Available Hint(s) Submit 0 μÃ Value Units Units ? ?
Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.50 Earth years in a circular orbit around its star, which has a measured mass of 3.80 × 10³0 kg. Determine the radius r of the exoplanet's orbit. r = m
An earth satellite moves in a circular orbit with an orbital speed of 5900 m/s. 1. Find the time of one revolution of the satellite. Express your answer in seconds. 2. Find the radial acceleration of the satellite in its orbit. Express your answer with the appropriate units.
Please Aspa
An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. a. Enter an expression for the radius of the spaceship’s orbit. b. Calculate the orbital radius in meters.
Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle. Part A Find the gravitational force of one star on the other. Express your answer in terms of G, M, R. Πν ΑΣφ ? F = Part B Find the orbital speed of each star. Express your answer in terms of G, M, R. να ΑΣΦ7 ? Part C
Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of radius r 1 = 10^11 m with a period of 2 years (= 6.3 x 10^7 s). Planet m 2 moves in an elliptical orbit with its closes t distance r 1 and its farthest distance r 2 = 1.8 x 10^11 m. a. Find the period of m 2’s orbit. b. The elliptical orbit has greater energy. Which planet has the greater potential energy at point P? Justify. c. Which planet has the greater speed at point P? Justify. d. How does the speed of m 2 at point P compare with the speed at point A? Justify.
An 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)
An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 20.0 days on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 2.420 × 10° km and the planet has a radius of 4.100 × 10³ km, calculate the moon's radial acceleration a. a = m/s? & TOOLS x10
A spy satellite is in circular orbit around Earth. It makes one revolution in 8.90 h. Mass of Earth is 5.974 × 1024 kg, radius of Earth is 6371 km and Gravitational constant G is = 6.674 × 10−11 N·m2/kg2. a. How high above Earth’s surface is the satellite? answer in km b. What is the satellite’s acceleration? answer in m/s^2
An earth satellite moves in a circular orbit with an orbital speed of 6300 m/s. PART A.) Find the time of one revolution of the satellite. Express your answer in seconds. Part B.) Find the radial acceleration of the satellite in its orbit. Express your answer with the appropriate units. Use Gravity Constant and the mass of the Earth to help you solve this problem.
2. A satellite is in a circular orbit around a planet. If the mass of the satellite is doubled, what effect does this have on the orbital speed of the satellite? Explain. b. If the mass of the planet is doubled, what effect does this have on the orbital speed of the satellite? Explain. a.