Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 33, Problem 38AP

One goal of the Russian space program is to illuminate dark northern cities with sunlight reflected to the Earth from a 200-m diameter mirrored surface in orbit. Several smaller prototypes have already been constructed and put into orbit. (a) Assume that sunlight with intensity 1 370 W/m2 falls on the mirror nearly perpendicularly and that the atmosphere of the Earth allows 74.6% of the energy of sunlight to pass though it in clear weather. What is the power received by a city when the space mirror is reflecting light to it? (b) The plan is for the reflected sunlight to cover a circle of diameter 8.00 km. What is the intensity of light (the average magnitude of the Poynting vector) received by the city? (c) This intensity is what percentage of the vertical component of sunlight at St. Petersburg in January, when the sun reaches an angle of 7.00° above the horizon at noon?

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A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this "solar sail." Suppose a sail of area A = 6.40 ✕ 105 m2 and mass m = 4,900 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m2. A) If the solar sail were initially in Earth orbit at an altitude of 360 km, show that a sail of this mass density could not escape Earth's gravitational pull regardless of size. (Calculate the magnitude of the gravitational field in m/s2.) B) What would the mass density (in kg/m2) of the solar sail have to be for the solar sail to attain the same initial acceleration of 1193 µm/s2.
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A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this "solar sail." Suppose a sail of area A = 6.90 x 105 m2 and mass m = 5,000 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m?. (a) What force (in N) is exerted on the sail? (Enter the magnitude.) (b) What is the sail's acceleration? (Enter the magnitude in um/s2.) |um/s? (c) Assuming the acceleration calculated in part (b) remains constant, find the time interval (in days) required for the sail to reach the Moon, 3.84 x 10° m away, starting from rest at the Earth. days (d) What If? If the solar sail were initially in Earth orbit at an altitude of 400 km, show that a sail of this mass density could not escape Earth's gravitational pull regardless of size. (Calculate the magnitude of the gravitational field in m/s².) m/s2 (e) What would the mass density (in kg/m2) of…

Chapter 33 Solutions

Physics for Scientists and Engineers

Ch. 33 - A diathermy machine, used in physiotherapy,...Ch. 33 - The distance to the North Star, Polaris, is...Ch. 33 - A radar pulse returns to the transmitterreceiver...Ch. 33 - The speed of an electromagnetic wave traveling in...Ch. 33 - You are working for SETI, the Search for...Ch. 33 - Review. A microwave oven is powered by a...Ch. 33 - Verify by substitution that the following...Ch. 33 - Why is the following situation impossible? An...Ch. 33 - At what distance from the Sun is the intensity of...Ch. 33 - If the intensity of sunlight at the Earths surface...Ch. 33 - Prob. 14PCh. 33 - High-power lasers in factories are used to cut...Ch. 33 - Review. Model the electromagnetic wave in a...Ch. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - A 25.0-mW laser beam of diameter 2.00 mm is...Ch. 33 - The intensity of sunlight at the Earths distance...Ch. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Assume the intensity of solar radiation incident...Ch. 33 - Extremely low-frequency (ELF) waves that can...Ch. 33 - A large, flat sheet carries a uniformly...Ch. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - An important news announcement is transmitted by...Ch. 33 - Assume the intensity of solar radiation incident...Ch. 33 - Classify waves with frequencies of 2 Hz, 2 kHz, 2...Ch. 33 - The eye is most sensitive to light having a...Ch. 33 - Prob. 36APCh. 33 - You are working as a radio technician. One day,...Ch. 33 - One goal of the Russian space program is to...Ch. 33 - The intensity of solar radiation at the top of the...Ch. 33 - The Earth reflects approximately 38.0% of the...Ch. 33 - Consider a small, spherical particle of radius r...Ch. 33 - Consider a small, spherical particle of radius r...Ch. 33 - Review. A 1.00-m-diameter circular mirror focuses...Ch. 33 - Prob. 44APCh. 33 - Prob. 45APCh. 33 - You may wish to review Sections 16.4 and 16.8 on...Ch. 33 - You are working at NASA, in a division that is...Ch. 33 - Prob. 48APCh. 33 - Prob. 49APCh. 33 - Prob. 50CPCh. 33 - Prob. 51CP
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