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.

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.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter10: Motion In A Noninertial Reference Frame

Section: Chapter Questions

Problem 10.13P

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