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Mercury is the closest planet to the Sun. has a mass of 3.18 × 1023 kg and an average radius of 2.43 × 106 m . Mercury rotates very slowly, and for this problem, you can ignore this rotation when calculating forces and energy. A. What is the acceleration due to gravity (gmercury) near Mercury's surface? B. A baseball player can throw a baseball 15 m straight up on Earth. How high could the throw the same baseball on Mercury? Assume they can throw with the same initial speed. C. What is the escape velocity of Mercury? D. Mercury spins very slowly, and a day on Mercury lasts 5.1 × 106 s, which is actually significantly longer than a year on Mercury. Suppose you wanted to put a geosynchronous satellite in circular orbit around Mercury so that the period of the satellite is also 5.1 × 106 s. What altitude above the surface would you need to locate this satellite?

Mercury is the closest planet to the Sun. has a mass of 3.18 × 1023 kg and an average radius of 2.43 × 106 m . Mercury rotates very slowly, and for this problem, you can ignore this rotation when calculating forces and energy. A. What is the acceleration due to gravity (gmercury) near Mercury's surface? B. A baseball player can throw a baseball 15 m straight up on Earth. How high could the throw the same baseball on Mercury? Assume they can throw with the same initial speed. C. What is the escape velocity of Mercury? D. Mercury spins very slowly, and a day on Mercury lasts 5.1 × 106 s, which is actually significantly longer than a year on Mercury. Suppose you wanted to put a geosynchronous satellite in circular orbit around Mercury so that the period of the satellite is also 5.1 × 106 s. What altitude above the surface would you need to locate this satellite?

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 27PQ: Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet....
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Mercury is the closest planet to the Sun. has a mass of 3.18 × 1023 kg and an average radius of 2.43 × 106 m . Mercury rotates very slowly, and for this problem, you can ignore this rotation when calculating forces and energy. A. What is the acceleration due to gravity (gmercury) near Mercury's surface? B. A baseball player can throw a baseball 15 m straight up on Earth. How high could the throw the same baseball on Mercury? Assume they can throw with the same initial speed. C. What is the escape velocity of Mercury? D. Mercury spins very slowly, and a day on Mercury lasts 5.1 × 106 s, which is actually significantly longer than a year on Mercury. Suppose you wanted to put a geosynchronous satellite in circular orbit around Mercury so that the period of the satellite is also 5.1 × 106 s. What altitude above the surface would you need to locate this satellite?
Transcribed Image Text:Mercury is the closest planet to the Sun. has a mass of 3.18 × 1023 kg and an average radius of 2.43 × 106 m . Mercury rotates very slowly, and for this problem, you can ignore this rotation when calculating forces and energy. A. What is the acceleration due to gravity (gmercury) near Mercury's surface? B. A baseball player can throw a baseball 15 m straight up on Earth. How high could the throw the same baseball on Mercury? Assume they can throw with the same initial speed. C. What is the escape velocity of Mercury? D. Mercury spins very slowly, and a day on Mercury lasts 5.1 × 106 s, which is actually significantly longer than a year on Mercury. Suppose you wanted to put a geosynchronous satellite in circular orbit around Mercury so that the period of the satellite is also 5.1 × 106 s. What altitude above the surface would you need to locate this satellite?
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