Question 21 Many people mistakenly believe that the astronauts that orbit Earth are "above gravity". Calculate g for "space shuttle territory", altitude H above Earth's surface. Earth's mass M = 6.0x1024 kg Earth radius R = 6.38x106 m Universal gravity constant G = 6.67x10-11 Nm²/kg² Altitude H = 292 km Enter two digits after the decimal

Question 21 Many people mistakenly believe that the astronauts that orbit Earth are "above gravity". Calculate g for "space shuttle territory", altitude H above Earth's surface. Earth's mass M = 6.0x1024 kg Earth radius R = 6.38x106 m Universal gravity constant G = 6.67x10-11 Nm²/kg² Altitude H = 292 km Enter two digits after the decimal

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 42PE: Unreasonable Result A mountain 10.0 km from a person exerts a gravitational force on him equal to...

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A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00 of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain’s mass with that of Earth. (c) What is unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)
Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84106 m (1%)?
Review. In 1963, astronaut Gordon Cooper orbited the Earth 22 times. The press stated that for each orbit, he aged two-millionths of a second less than he would have had he remained on the Earth. (a) Assuming Cooper was 160 km above the Earth in a circular orbit, determine the difference in elapsed time between someone on the Earth and the orbiting astronaut for the 22 orbits. You may use the approximation 11x=1+x2 for small x. (b) Did the press report accurate information? Explain.
The mean diameter of the planet Mercury is 4.88106m , and the acceleration due to gravity at its surface is 3.78m/s2 . Estimate the mass of this planet.
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Unreasonable Result A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00% of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain's mass with that of Earth. (c) What is unreasonable about these results? (d) Which premises are unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)