2a)Isaac Newton was able to determine the factors that give Kepler’s constant k its value. According...
2a)Isaac Newton was able to determine the factors that give Kepler’s constant k its value. According to Newton, k = 4π 2 GM , where G is the Universal Constant of Gravitation, and M is the mass of the object about which the planet or moon is orbitting. a) Using Newton’s relationship for Kepler’s constant, find the value of k for the Sun, given that its mass is 1.99 · 1030 kg. How does this value compare with the result which you obtained in problem 2, part b)? b) If Earth were orbitting a star that were 4x more massive than the Sun, what would happen to the value of k for its orbit?
b) The orbital velocity for a planet or satellite is given by vo = s GM r , where M is the mass of the object in the center of the orbit, and r is the orbital radius (assuming circular orbits). Estimate the orbital velocity of the Earth around the Sun in meters per second.
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2a)Isaac Newton was able to determine the factors that give
Kepler’s constant k its value. According...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
All questions please 101. The mass of the Earth is almost 6.0x104 kg, and the average...
All questions please
101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...
6 of 13 Properties of Circular Orbits Constants Find the orbital speed of a satelite in...
6 of 13 Properties of Circular Orbits Constants Find the orbital speed of a satelite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. View Available Hint(s) Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed...
please explain how to get rid of the square and get the answer for C part...
please explain how to get rid of the square and get the answer
for C part as well.
A satellite is in a circular orbit around the Earth at an altitude of 3.23 x 106 m (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite. Step 1 (a) If the satellite has an altitude of h - 3.23 x 106 m above the surface of the Earth, the...
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an...
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an average orbital radius of 107,588,122 kilometers. It is observed that another planet in the same system has orbital period of 373 days. What is its average orbital radius of the second planet? Express your answer in kilometers, use scientific notation and round the coefficient to two decimals. In a newly discovered exoplanetary system one planet orbits its star in 57 days with an average...
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses....
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force Fg between two small particles of masses m1 and m2 separated by a distance r, is given by m1m2 T2 where G is the universal gravitational constant, whose numerical value (in SI units) is 6.67 x 10-11 Nm2 kg2 This formula applies not...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer t...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
Need help with one and two. Problem 2 I did just need it double checked. The...
Need help with one and two.
Problem 2 I did just need it double checked.
The following information will aid you in your calculations: Mass of Earth: 5.97 x 104 kg Mass of Sun: 1.99 x 1030 kg Earth-Sun Distance: 1.496 x 108 km Mass of Moon: 7.35 x 1022 kg Earth-Moon Distance: 3.84 x 105 km 1) Calculate the altitude necessary for a satellite to be in a geostationary (geosynchronous) orbit about the Moon. You may need to look...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
Good day, it there a way it can be proven using calculus that it takes only 42 minutes for an obj...
Good day, it there a way it can be proven using calculus that it
takes only 42 minutes for an object to go through a tunnel at any
place on earth.
Low STAKES WRITING AssIGNMENT 6 (SiMPLe HARMONIC MoTION II - THE GrAVITY TRAIN) Do NOT submit this low stakes assignment! You will use this as part of the background for High Stakes Writing Assignment 2. Topic: Physics was Newton's primary motivation for inventing calculus. With his calculus and his...
All questions please
101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...
6 of 13 Properties of Circular Orbits Constants Find the orbital speed of a satelite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. View Available Hint(s) Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed...
please explain how to get rid of the square and get the answer
for C part as well.
A satellite is in a circular orbit around the Earth at an altitude of 3.23 x 106 m (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite. Step 1 (a) If the satellite has an altitude of h - 3.23 x 106 m above the surface of the Earth, the...
In a newly discovered exoplanetary system one planet orbits its star in 56 days with an average orbital radius of 107,588,122 kilometers. It is observed that another planet in the same system has orbital period of 373 days. What is its average orbital radius of the second planet? Express your answer in kilometers, use scientific notation and round the coefficient to two decimals. In a newly discovered exoplanetary system one planet orbits its star in 57 days with an average...
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force Fg between two small particles of masses m1 and m2 separated by a distance r, is given by m1m2 T2 where G is the universal gravitational constant, whose numerical value (in SI units) is 6.67 x 10-11 Nm2 kg2 This formula applies not...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
Need help with one and two.
Problem 2 I did just need it double checked.
The following information will aid you in your calculations: Mass of Earth: 5.97 x 104 kg Mass of Sun: 1.99 x 1030 kg Earth-Sun Distance: 1.496 x 108 km Mass of Moon: 7.35 x 1022 kg Earth-Moon Distance: 3.84 x 105 km 1) Calculate the altitude necessary for a satellite to be in a geostationary (geosynchronous) orbit about the Moon. You may need to look...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
Good day, it there a way it can be proven using calculus that it
takes only 42 minutes for an object to go through a tunnel at any
place on earth.
Low STAKES WRITING AssIGNMENT 6 (SiMPLe HARMONIC MoTION II - THE GrAVITY TRAIN) Do NOT submit this low stakes assignment! You will use this as part of the background for High Stakes Writing Assignment 2. Topic: Physics was Newton's primary motivation for inventing calculus. With his calculus and his...
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