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 6.67×10-1! m³kg-!s-² for the gravitational constant, 6371 km for the Earth's radius, and 5.97 × 102ª kg for the Earth's mass.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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/s?.
(b) considering the change of the gravitational force with height.
Note: Neglect the air resistance for this problem. Use 6.67x10-11 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.
Transcribed Image Text: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/s?. (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67x10-11 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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