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/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 um/s².) ) um/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 (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/s.) m/s2 (e) What would the mass density (in kg/m-) of the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)? ] kg/m²
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/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 um/s².) ) um/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 (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/s.) m/s2 (e) What would the mass density (in kg/m-) of the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)? ] kg/m²
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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 the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)?
kg/m2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b404284-f3ac-4fad-97e0-0e40daa06506%2F02dd42a1-e241-47e5-94c1-6c9ac728678f%2F5na5mdd_processed.png&w=3840&q=75)
Transcribed Image Text: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 the solar sail have to be for the solar sail to attain the same initial acceleration as that in part (b)?
kg/m2
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