21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 4, Problem 31QP
To determine
The value of gravitational acceleration on the surface of Mars in comparison with that on Earth. Compare the mass and weight of a person on Mars with the mass and weight on Earth. Show whether Hollywood movies showing people on Mars accurately portray that difference in weight.
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Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:
mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2
1.)What is the force of attraction between Mars and the satellite?
2.)What speed should the satellite have to be in a perfectly circular orbit?
3.)How much time does it take the satellite to complete one revolution?
The acceleration due to gravity on Venus is 0.89 that of Earth. a) If the radius of Venus is 6.05 x 106 m, what is Venus’ mass? b) How does this compare to Earth’s mass? c) If you were on a diet and had to “weigh in,” would you rather stand on a scale on Venus or on Earth in order to appear as if you had lost the most weight?
Assume the earth's mass is 1.392 x 1025 kg, and radius is 92.2 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.
Chapter 4 Solutions
21st Century Astronomy
Ch. 4.1 - Prob. 4.1ACYUCh. 4.1 - Prob. 4.1BCYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4.4 - Prob. 4.4CYUCh. 4 - Prob. 1QPCh. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QP
Ch. 4 - Prob. 6QPCh. 4 - Prob. 7QPCh. 4 - Prob. 8QPCh. 4 - Prob. 9QPCh. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Prob. 13QPCh. 4 - Prob. 14QPCh. 4 - Prob. 15QPCh. 4 - Prob. 16QPCh. 4 - Prob. 17QPCh. 4 - Prob. 18QPCh. 4 - Prob. 19QPCh. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Prob. 22QPCh. 4 - Prob. 23QPCh. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Prob. 28QPCh. 4 - Prob. 29QPCh. 4 - Prob. 30QPCh. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Prob. 33QPCh. 4 - Prob. 34QPCh. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Prob. 38QPCh. 4 - Prob. 39QPCh. 4 - Prob. 40QPCh. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QP
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- The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.arrow_forwardThe International Space Station (ISS) orbits Earth in a nearly circular orbit that is 345 km above Earth's surface. 1) How many hours does it take for the ISS to make each orbit? (Express your answer to three significant figures.) 2) Some of the experiments performed by astronauts in the ISS involve the effects of "weightlessness" on objects. What gravitational force does Earth exert on a 12.0-kg object in the ISS? Express your answer in newtons. (Express your answer to three significant figures.) 3) What gravitational force does Earth exert on a 12.0-kg object in the ISS? Express your answer as a fraction of the force that Earth would exert on the object at Earth's surface. (Express your answer to three significant figures.)arrow_forwardWhat is the weight of a 85.0 kg person standing on the surface of the Earth? What would the weight of the same person be if they were standing on the surface of Mars? The Moon? You will have to look up the relevant values of g to do the calculation.arrow_forward
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