Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 24, Problem 32P
(a)
To determine
The force exerted on the sail.
(b)
To determine
The acceleration of the sail.
(c)
To determine
The time required to reach the moon.
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(b) The earth has a radius of R = 6.4 x 106 m. It orbits the sun in a nearly circular orbit at an average distance of
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radiate per second?
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.)
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(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…
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
6.30 x 10 m² and mass m - 7,000 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m²
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(b) What is the sail's acceleration? (Enter the magnitude in um/s².)
m/s²
(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
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Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 24.1 - Prob. 24.1QQCh. 24.4 - Prob. 24.2QQCh. 24.4 - Prob. 24.3QQCh. 24.4 - Prob. 24.4QQCh. 24.6 - Prob. 24.5QQCh. 24.6 - Prob. 24.6QQCh. 24.7 - Prob. 24.7QQCh. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQ
Ch. 24 - If plane polarized light is sent through two...Ch. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Consider an electromagnetic wave traveling in the...Ch. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - Prob. 12CQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - A 1.05-H inductor is connected in series with a...Ch. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - An electron moves through a uniform electric field...Ch. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Figure P24.13 shows a plane electromagnetic...Ch. 24 - Prob. 14PCh. 24 - Review. A microwave oven is powered by a...Ch. 24 - Prob. 16PCh. 24 - A physicist drives through a stop light. When he...Ch. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - A light source recedes from an observer with a...Ch. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - You use a sequence of ideal polarizing filters,...Ch. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Figure P24.52 shows portions of the energy-level...Ch. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62PCh. 24 - A dish antenna having a diameter of 20.0 m...Ch. 24 - Prob. 65PCh. 24 - Prob. 66PCh. 24 - Prob. 67PCh. 24 - Prob. 68PCh. 24 - Prob. 69PCh. 24 - Prob. 70PCh. 24 - Prob. 71PCh. 24 - A microwave source produces pulses of 20.0-GHz...Ch. 24 - A linearly polarized microwave of wavelength 1.50...Ch. 24 - Prob. 74PCh. 24 - Prob. 75P
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- The tungsten elements of incandescent light bulbs operate at 3200 K. At what frequency does the filament radiate maximum energy?arrow_forwardCASE STUDY In Example 34.6 (page 1111), we imagined equipping 1950DA, an asteroid on a collision course with the Earth, with a solar sail in hopes of ejecting it from the solar system. We found that the enormous size required for the solar sail makes the plan impossible at this time. Of course, there is no need to eject such an object from the solar system: we only need to change the orbit. A much more pressing problem is Apophis, a 300-m asteroid that may be on a collision course with the Earth and is due to come by on April 13, 2029. It is unlikely to hit the Earth on that pass, but it will return again in 2036. If Apophis passes through a 600-m keyhole on its 2029 pass, it is expected to hit the Earth in 2036. causing great damage. There are plans to deflect Apophis when it comes by in 2029. For example, we could hit it with a 10- to 150-kg impactor accelerated by a solar sail. The impactor is launched from the Earth to start orbiting the Sun in the same direction as the Earth and Apophis. The idea is to use a solar sail to accelerate the impactor so that it reverses direction and collides head-on with Apophis at 8090 km/s and thereby keeps Apophis out of the keyhole. Consider the momentum in the impactors orbit (Fig. P34.75) when the solar sail makes an angle of = 60 with the tangent to its orbit. Current solar sails may be about 40 m on a side, but the hope is to construct some that are about 160 m on a side. Estimate the impactors tangential acceleration when it is about 1 AU from the Sun. Keep in mind that the sail is neither a perfect absorber nor a perfect reflector, and a heavier impactor would presumably be equipped with a larger sail. Dont be surprised by what may seem like a very small acceleration. FIGURE P34.75arrow_forwardIf a Lightsail spacecraft were sent on a Mars mission, by si1at ratio of the final force to the initial force would its propulsion be reduced when It reached Mars?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_forwardA 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 x 105 m² and mass m = 6,200 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1,370 W/m². (a) What force (in N) is exerted on the sail? (Enter the magnitude.) N (b) What is the sail's acceleration? (Enter the magnitude in µm/s².) μm/s² (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 108 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 340 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…arrow_forwardA 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. (a) What force (in N) is exerted on the sail? (Enter the magnitude.) N (b) What is the sail's acceleration? (Enter the magnitude in µm/s2.) µm/s2 (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 ✕ 108 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 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…arrow_forward
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