Scientists are developing a new space cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches, .. (a) assuming a constant gravitational deceleration of 9.81 m/s². (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67×1011 m³kg-'s-2 for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 1024 kg for the Earth's mass.
Scientists are developing a new space cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches, .. (a) assuming a constant gravitational deceleration of 9.81 m/s². (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67×1011 m³kg-'s-2 for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 1024 kg for the Earth's mass.
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![Problem B.1: Space Cannon
Scientists are developing a new space cannon to shoot objects from the surface of the Earth di-
rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial
velocity of 2.8 km/s vertically into the sky.
Calculate the height that the projectile reaches, ...
(a) assuming a constant gravitational deceleration of 9.81 m/s².
(b) considering the change of the gravitational force with height.
Note: Neglect the air resistance for this problem. Use 6.67×10-11 m³kg-'s-2 for the gravitational
constant, 6371 km for the Earth's radius, and 5.97 x 1024 kg for the Earth's mass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63b0e83b-ab88-4872-ba1e-873d53809bb3%2Fa675c27e-d3b5-4747-9b3f-2422055bb910%2Flltfz0j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem B.1: Space Cannon
Scientists are developing a new space cannon to shoot objects from the surface of the Earth di-
rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial
velocity of 2.8 km/s vertically into the sky.
Calculate the height that the projectile reaches, ...
(a) assuming a constant gravitational deceleration of 9.81 m/s².
(b) considering the change of the gravitational force with height.
Note: Neglect the air resistance for this problem. Use 6.67×10-11 m³kg-'s-2 for the gravitational
constant, 6371 km for the Earth's radius, and 5.97 x 1024 kg for the Earth's mass.
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