Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 7, Problem 6TY
To determine
The period of time in which a person on Earth would weigh the least due to Moon’s gravitational pull.
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On earths surface, the gravitational field strength is about 9.8 m/s^2. Now consider a different planet with a mass of 5.7 x 10^23 kg with a gravitational field strength at its surface of 4.5 m/s^2. What is the diameter of the planet?
According to Lunar Laser Ranging experiments the average distance L M from the Earth to the Moon is approximately 3.85 X 105 km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month).
Calculate the mass of the Earth and provide your answer in units of 1024 kg. For example, if your answer is 2.7×1024 enter 2.7.
Some people believe that the Moon controls their activities. The Moon moves from being directly on the opposite side of Earth from you to be being directly overhead. Assume that the Earth-Moon (center-to-
center) distance is 3.82 x 108 m and Earth's radius is 6.37 x 106 m.
(a) By what percent does the Moon's gravitational pull on you increase?
%
(b) By what percent does your weight (as measured on a scale) decrease?
%
Chapter 7 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 7 - Describe a crater and how it is formed. Why do...Ch. 7 - How do the maria differ from the highlands?Ch. 7 - Prob. 3QFRCh. 7 - What formed the maria? Why are they smooth?Ch. 7 - Prob. 5QFRCh. 7 - Prob. 6QFRCh. 7 - Why does the Moon lack an atmosphere?Ch. 7 - Prob. 8QFRCh. 7 - How do astronomers think the Moon formed? What...Ch. 7 - Why is the Moons surface heavily cratered but...
Ch. 7 - Prob. 11QFRCh. 7 - Prob. 12QFRCh. 7 - Prob. 13QFRCh. 7 - Highway surfaces develop potholes over time. How...Ch. 7 - Bergmanns rule states that individuals of a given...Ch. 7 - Prob. 3TQCh. 7 - Why will an astronauts footprint on the Moon last...Ch. 7 - Prob. 5TQCh. 7 - Prob. 6TQCh. 7 - If the day were 12 hours long, what would be the...Ch. 7 - Prob. 8TQCh. 7 - Why do tides happen about an hour later each day?Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 1TYCh. 7 - Prob. 2TYCh. 7 - Prob. 3TYCh. 7 - Prob. 4TYCh. 7 - Prob. 5TYCh. 7 - Prob. 6TY
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- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardAssume the Earth and Moon together form an isolated system. The mass of the earth, mass of moon and the mean distance between the earth and moon are represented respectively as, ME, MM, DEM. At what distance d from the Earth, would the net gravitational field due to Earth and Moon be zero?arrow_forwardConsider two planets, each with mass 9 x 1024 kg. The first planet is located at coordinates (6 x 107 m, 0 m), and the second is located at (-6 x 107 m, 0 m). Calculate the magnitude of the gravitational field due to the two planets at coordinates (0 m, 1 x 107 m), in N/kg. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward
- The planet Mercury has a mass of 3.30×1023 kilograms (kg) and a radius of 2440 kilometers (km). The universal gravitational constant is G = 6.67 × 10−11 Nm2/kg2. A) If a is ball is launched upwards from the surface of Mercury with an initial speed of 2.15 kilometers per second (km/s), what height maximum height above the surface will it reach before falling back down? Give your answer in units of kilometers (km). Assume that the total mechanical energy of the ball is conserved. B) What is the escape speed of Mercury? Give your answer in units km/s.arrow_forwardThe highest mountain in Canada is Mount Logan with a peak height of 5959 m above sea level Assume that sea leveldefines the height of Earth’s surface. (rE = 6.38 x 10^6m, mE = 5.98 x 10^24 kg, G = 6.67 x 10^−11N ∙ m2/kg2)a) Calculate the strength of Earth’s gravitational field at the altitude of Mount Logan. b) What is the ratio of the strength of Earth’s gravitational field at the top of Mount Logan to the strength of the Earth’ssurface? c) A mountain climber on top of Mount Logan wonders how fast must a satellite leave Earth’s surface to reach an orbitwith an altitude 800 km above his position. Calculate the velocity of the satellite.arrow_forwardCompare the magnitude of the gravitational field at the surface of the earth due to the moon with that due to the sun. (Hint: The mass of the sun is 1.99 x 10^30 kg, the mass of the moon is 7.36 x 10^22 kg, and the distance from the surface of the earth to the moon is 3.78 10^8 m.)arrow_forward
- Consider a spherical shell constructed from a material of density 6.1 x 103 kg/m3. The inner radius of the shell is 4.9 x 106 m from the center, and the outer radius of the shell is 9.2 x 106 m from the center. Calculate the magnitude of the gravitational field 13.1 x 106 m from the center of the shell, in N/kg. Use G = 6.7 x 10-11 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardConsider a planet of total mass 19.3 x 1024 kg, and radius 10.7 x 106 m. If the planet has a uniform density, calculate the gravitational field 2.7 x 106 m below the surface, in N/kg. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardIf an imaginary line segment is drawn between the centers of the earth and the moon, then the net gravitational force F acting on an object situated on this line segment is F = -k/x^2 + 0.012k/(239-x)^2 where K > 0 is a constant and x is the distance of the object from the center of the earth, measured in thousands of miles. How far from the center of the earth is the "dead spot" where no net gravitational force acts upon the object? (Express your answer to the nearest thousand miles. Hint: The distance from the earth to the moon is approximately 239 thousand miles.)arrow_forward
- (a) When a communication satellite is placed in a geosynchronous orbit above the equator, it remains fixed over a given point on the ground. Is it possible to put a satellite into an orbit so that it remains fixed above the north pole? Explain. (b) Rockets are launched into space from Cape Canaveral in an easterly direction. Is there an advantage to launching to the east versus launching to the west? Explain. (c) If you light a candle on the International Space Station (which would not be a good idea) would it burn the same as on the earth? Explain.arrow_forwardCalculate its weight at the following locations (i) Moon, gm = 1.62 m/s2 (ii) Sun, gs = 274.68 m/s2 (iii)Mercury, gme = 3.53 m/s2 (iv) Jupiter, gj = 26.0 m/s2 (v) Saturn, gsa = 11.2 m/s2 and (vi) Venus, gv =8.54 m/s2. (Please gave me clean solution thank you)arrow_forwardFour small spheres each with a mass of m = 14 kg are attached to the corners of a square. The length of one side of the square is L = 8 meters. See figure below. Find the magnitude of the gravitational field due to these four point masses at the position P in the middle of the bottom leg of the square as shown. Use G = 6.673E-11 N m2/kg2.arrow_forward
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