Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 40, Problem 7OQ
To determine
The ray which cause more sunburn in skin cells.
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NASA is giving serious consideration to the concept of solar sailing. A solar sailcraft uses a large, low-mass sail and the energy and momentum of sunlight for propulsion. (a) Should the sail be absorbing or reflective? Why? (b) The total power output of the sun is 3.9 * 10^26 W. How large a sail is necessary to propel a 10,000 kg spacecraft against the gravitational force of the sun? Express your result in square kilometers. (c) Explain why your answer to part (b) is independent of the distance from the sun.
There are two categories of ultraviolet light. Ultraviolet A (UVA) has a wavelength ranging from 320 nm to 400 nm. It is not so harmful to the skin and is necessary for the production of vitamin D. UVB, with a wavelength in vacuum between 280 nm and 320 nm, is more dangerous because it is much more likely to cause skin cancer.
(a) Find the frequency ranges of UVA and UVB.
(b) What are the ranges of the wave numbers for UVA and UVB?
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.
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.2 - Prob. 40.4QQCh. 40.3 - Prob. 40.5QQCh. 40.5 - Prob. 40.6QQCh. 40.6 - Prob. 40.7QQCh. 40 - Prob. 1OQCh. 40 - Prob. 2OQCh. 40 - Prob. 3OQ
Ch. 40 - Prob. 4OQCh. 40 - Prob. 5OQCh. 40 - Prob. 6OQCh. 40 - Prob. 7OQCh. 40 - Prob. 8OQCh. 40 - Prob. 9OQCh. 40 - Prob. 10OQCh. 40 - Prob. 11OQCh. 40 - Prob. 12OQCh. 40 - Prob. 13OQCh. 40 - Prob. 14OQCh. 40 - Prob. 1CQCh. 40 - Prob. 2CQCh. 40 - Prob. 3CQCh. 40 - Prob. 4CQCh. 40 - Prob. 5CQCh. 40 - Prob. 6CQCh. 40 - Prob. 7CQCh. 40 - Prob. 8CQCh. 40 - Prob. 9CQCh. 40 - Prob. 10CQCh. 40 - Prob. 11CQCh. 40 - Prob. 12CQCh. 40 - Prob. 13CQCh. 40 - Prob. 14CQCh. 40 - Prob. 15CQCh. 40 - Prob. 16CQCh. 40 - Prob. 17CQCh. 40 - The temperature of an electric heating element is...Ch. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60APCh. 40 - Prob. 61APCh. 40 - Prob. 62APCh. 40 - Prob. 63APCh. 40 - Prob. 64APCh. 40 - Prob. 65APCh. 40 - Prob. 66APCh. 40 - Prob. 67APCh. 40 - Prob. 68APCh. 40 - Prob. 69APCh. 40 - Prob. 70APCh. 40 - Prob. 71APCh. 40 - Prob. 72CPCh. 40 - Prob. 73CPCh. 40 - Prob. 74CPCh. 40 - Prob. 75CPCh. 40 - Prob. 76CP
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- Consider the following kinds of waves. (i) gamma rays (ii) microwaves (iii) radio waves (iv) visible light (v) x-rays (a) Rank the kinds of waves according to their wavelength ranges from those with the largest typical or average wavelength to the smallest, noting any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (b) Rank the kinds of waves according to their frequencies from highest to lowest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (c) Rank the kinds of waves according to their speeds in vacuum from fastest to slowest. (Use only '>' or '=' symbols. If any elements are equal, show their equality in increasing order - for example: i > ii = iii.) Need Help? Read Itarrow_forwardA low-cost way of sending spacecraft to other planets would be to use the radiation-pressure on a solar sail. The intensity of the sun's electromagnetic radiation at distances near the earth's orbit is about 1,320 W/m². What size sail (in km²) would be needed to accelerate a 6,906 kg space craft toward Mars at 0.024 m/s²? Assume that the solar sail is perfectly reflecting. (Use c = 2.9979 × 108 m/s) km²arrow_forwardThe power radiated by the sun is 3.9 × 1026 W. The earth orbits the sun in a nearly circular orbit of radius 1.5 × 1011 m. The earth's axis of rotation is tilted by 23.4° relative to the plane of the orbit (see the drawing), so sunlight does not strike the equator perpendicularly. What power strikes a 0.94-m2 patch of flat land at the equator at point Q?arrow_forward
- 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 = 5.20 ✕ 105 m2 and mass m = 6,800 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m2. (d) What If? If the solar sail were initially in Earth orbit at an altitude of 300 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 the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)? kg/m2arrow_forwardCh 24, Problem 31 The power radiated by the sun is 3.9 × 1026 W. The earth orbits the sun in a nearly circular orbit of radius 1.5 × 1011 m. The earth's axis of rotation is tilted by 23.4° relative to the plane of the orbit (see the drawing), so sunlight does not strike the equator perpendicularly. What power strikes a 0.72-m2 patch of flat land at the equator at point Q?arrow_forwardThe power radiated by the sun is 3.9 × 1026 W. The earth orbits the sun in a nearly circular orbit of radius 1.5 × 10¹¹ m. The earth's axis of rotation is tilted by 23.4° relative to the plane of the orbit (see the drawing), so sunlight does not strike the equator perpendicularly. What power strikes a 0.58-m² patch of flat land at the equator at point Q? Number Units Sunlight Axis of rotation Equator 23.4arrow_forward
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