gravitational force of attraction between any two point masses is attractive and the magnitude: Gm₂m₂ F=-² G = 6.67 x 10-11 N-m² kg²¹ ere G is the gravitation constant, m; and m₂ are the masses, and r is the distance between the masses. This is quite erent from the force of gravity that we have been using, where weight = mg. Acceleration due to gravity: a. Lett one mass be the Earth and the other mass mis let go just above the surface of the Earth. Calculate the value of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the some as if the all the mass of the Earth were concentrated at its center. b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity at this altitude. c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth. Determine the acceleration due to gravity at this altitude.

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Chapter1: Units, Trigonometry. And Vectors
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The gravitational force of attraction between any two point masses is attractive and the magnitude:
Gm₂m₂
G = 6.67 x 10-11
N-m²
kg²
F=
where G is the gravitation constant, m, and m₂ are the masses, and r is the distance between the masses. This is quite
different from the force of gravity that we have been using, where weight = mg.
1. Acceleration due to gravity:
a. Lett one mass be the Earth and the other mass m is let go just above the surface of the Earth. Calculate the value
of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the
same as if the all the mass of the Earth were concentrated at its center.
b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity
at this altitude.
c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth.
Determine the acceleration due to gravity at this altitude.
d. What is assumed when we say g = 9.8 m/s²?
e. On the surface of the moon, the main gravitational force will be due to the moon. What is the effective value of
g due to the moon at the moon's surface? Look up the mass and radius of the moon.
Transcribed Image Text:The gravitational force of attraction between any two point masses is attractive and the magnitude: Gm₂m₂ G = 6.67 x 10-11 N-m² kg² F= where G is the gravitation constant, m, and m₂ are the masses, and r is the distance between the masses. This is quite different from the force of gravity that we have been using, where weight = mg. 1. Acceleration due to gravity: a. Lett one mass be the Earth and the other mass m is let go just above the surface of the Earth. Calculate the value of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the same as if the all the mass of the Earth were concentrated at its center. b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity at this altitude. c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth. Determine the acceleration due to gravity at this altitude. d. What is assumed when we say g = 9.8 m/s²? e. On the surface of the moon, the main gravitational force will be due to the moon. What is the effective value of g due to the moon at the moon's surface? Look up the mass and radius of the moon.
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