14–83. A rocket of mass m is fired vertically from the surface of the earth, i.e., atr = r. Assuming that no mass is lost as it travels upward, determine the work it must do against gravity to reach a distance n. The force of gravity is F = GM,m/² (Eq. 13–1), where M is the mass of the earth and r the distance between the rocket and the center of the earth.

14–83. A rocket of mass m is fired vertically from the surface of the earth, i.e., atr = r. Assuming that no mass is lost as it travels upward, determine the work it must do against gravity to reach a distance n. The force of gravity is F = GM,m/² (Eq. 13–1), where M is the mass of the earth and r the distance between the rocket and the center of the earth.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A space capsule of mass 505 kg is at rest 8.00 x 10' m from the center of the Earth. When it has fallen 5.00 x 10° m closer to the Earth, finu le (a) What is the change in the system's gravitational potential energy? (b) Find the speed of the satellite at that point. m/s
Zero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?
A binary-star system contains a visible star and a black hole moving around their center of mass in circular orbits with radii r1 and r2 , respectively. The visible star has an orbital speed of v=5.36x105 ms-1 and a mass of m1 =5Ms ,where Ms= 1.98x1030kg is the mass of our Sun. Moreover, the orbital period of the visible star is T = 30 hours.(a) What is the radius r1 of the orbit of the visible star?(b) Calculate the mass m2 of the black hole in terms of MS . [Hint: One root of the equation x3 = 20a(5a+x)2 , where a is a constant, is x = 28a .]
Please asap