Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 30, Problem 39P
To determine
The maximum angle of deflection of pendulum.
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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 = 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)?
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Sunlight above the Earth's atmosphere has an intensity of 1.35 kW/m2. If this is reflected straight back from a mirror that has only a small recoil, the light's momentum is exactly reversed, giving the mirror twice the incident momentum.
(a) Calculate the force per square meter of mirror (in N/m2).
(b) Very low mass mirrors can be constructed in the near weightlessness of space, and attached to a spaceship to sail it. Once done, the average mass per square meter of the spaceship is 0.109 kg. Find the acceleration (in m/s2) of the spaceship if all other forces are balanced.
(c) How fast (in m/s) is it moving 24 hours later? (Assume the spaceship started from rest.)
Sunlight above the Earth’s atmosphere has an intensity of1.30 kW/m2 . If this is reflected straight back from a mirrorthat has only a small recoil, the light’s momentum is exactlyreversed, giving the mirror twice the incident momentum. (a)Calculate the force per square meter of mirror. (b) Very lowmass mirrors can be constructed in the near weightlessnessof space, and attached to a spaceship to sail it. Once done,the average mass per square meter of the spaceship is 0.100kg. Find the acceleration of the spaceship if all other forcesare balanced. (c) How fast is it moving 24 hours later?
Chapter 30 Solutions
Physics for Scientists and Engineers
Ch. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10P
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