3. The Moon has a period of 27.3 days and a mean distance of 3.90×105 km fromthe center of Earth.a. Use Kepler's laws to find the period of a satellite in orbit 6.70x103 kmfrom the center of Earth.b. How far above Earth's surface is this satellite? Law of Harmonies:The periods of the planets are proportional to the 3/2 powers ofthe major axis lengths of their orbits.To explain further, the law states that the square of the time it takes for the planetto make one revolution around the sun (known as the orbital period) isproportional to the cube of the semimajor axis of the planet's elliptical orbit.where,T= orbital periods of a planet (planet 1 or 2)a = length of the semimajor axisUniversal Gravitation and Kepler's Third LawWe can associate Newton's law of universal gravitation to Kepler's law of harmoniessince we can apply these equations to the motion of planets about the Sun.Suppose a planet is orbiting the Sun. Using Newton's second law of motion, we have:Fnet = maWe can rewrite the equation in terms of mass of the planet and its centripetalacceleration:Fnet = mpacWhere Fis the gravitational force, m, is the mass of the planet and a, is the centripetalacceleration of the planet.

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3. The Moon has a period of 27.3 days and a mean distance of 3.90×105 km from the center of Earth. a. Use Kepler's laws to find the period of a satellite in orbit 6.70×10³ km from the center of Earth. b. How far above Earth's surface is this satellite?

3. The Moon has a period of 27.3 days and a mean distance of 3.90×105 km from the center of Earth. a. Use Kepler's laws to find the period of a satellite in orbit 6.70×10³ km from the center of Earth. b. How far above Earth's surface is this satellite?

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)...

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Describe your approach to the calculation of the period of a satellite moving in the gravitational field of a planet with mass M. a. Use Newton's 3rd law. b. Use Newton's law of universal gravitation. C. Use Kepler's 3rd law. d. Use Newton's 2nd law. e. Use Newton's 1st law.
2. An unknown planet was accidentally discovered by NASA. It has a mean distance of 2.15 E11 meters from the sun. Assuming it has a mass of 6.02 E24 kg, how long (in Earth Years) will it take for the said planet to revolve around the sun?
5. Calculate the acceleration due to gravity on the surface of Jupiter? (mj = 6.67×10¹¹1 N·m²/kg²) = 1.90×1027 kg, TJ = 69,911 km, G
According to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is approximately 3.85 × 10° km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). How can the mass of the Earth be calculated using the information above? Select the correct statements. Select one or more: O a. Use Newton's third law. O b. Use Newton's first law. c. Use Coulombs law. O d. Use Newton's second law.
Leave the moon's amplitude (semi-major axis) constant. How does the changing of the moon's orbital period change the calculated value of the planet's mass? a. Increasing the orbital period results in a higher calculated value for the mass of the planet. Decreasing the orbital period results in a lower calculated value for the mass of the planet. b. Increasing the orbital period results in a lower calculated value for the mass of the planet. Decreasing the orbital period results in a higher calculated value for the mass of the planet. c. Increasing the orbital period results in a higher calculates value for the mass of the planet. Decreasing the orbital period results in a higher calculated value for the mass of the planet.
3. Can the motion of a satellite orbiting the earth be described by Kepler’s three laws? Explain why and/or why not?
A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. If gm the acceleration due to gravity at the surface of Mars, what is the acceleration due to gravity at the location of the satellite? A. gm/16 B. gm/9 C. gm/4 D. gm/3 O B O A
3. The period of rotation of Mars is 1 day and 37 minutes. Determine its frequency of rotation in Hertz.
19. Saturn’s moon Mimas has an orbital period of T= 82,800 s at a distance of d= 1.87 × 10^8 m from Saturn. Using Kepler's 3rd law listed below for mass to determine Saturn’s mass. You must show your calculations for credit.
Kepler's third law of planetary motion describes a relationship between the__ * a, shape of orbit and the location of the Sun. b. orbital velocity and position in orbit c. distance from the Sun and length of year. d. path of epicycle and position.
Kepler's third law of planetary motion describes the relationship between the of a planet's orbit and its period. A. velocity B. semi- major axis C. acceleration D. major axis
3. A moon's orbital angular velocity and orbital velocity about a planet are 6.28x10-8 rad/sec and 12.56 m/s respectively. Calculate this moon's distance from the planet and the planet's mass.