Carla and jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is rɛ (not the Earth's radius) distant from Earth and rp (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if Fp on m =-FE on m. Jenny disagrees. Which one, if either, is correct, and why? (A Carla, because the total gravitational force on m is zero at that point. B) Jenny, because there is a gravitational force on m from Earth no matter how great the distance from the Earth. C Jenny, because the gravitational force from the Earth can only be blocked by a body that is larger than the Earth. D) Carla, because there is no gravitational force on m from Earth whenr>rE.

Carla and jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is rɛ (not the Earth's radius) distant from Earth and rp (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if Fp on m =-FE on m. Jenny disagrees. Which one, if either, is correct, and why? (A Carla, because the total gravitational force on m is zero at that point. B) Jenny, because there is a gravitational force on m from Earth no matter how great the distance from the Earth. C Jenny, because the gravitational force from the Earth can only be blocked by a body that is larger than the Earth. D) Carla, because there is no gravitational force on m from Earth whenr>rE.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 3OQ

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A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 000 kg. Ii has strayed too close to a black hole having a mass 100 times that of the Sun (Fig. P11.11). The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in accelerations grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)
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