The figure below shows two large masses, M, that each have a mass of 3.0 x 106 kg. These masses ar fixed in place along the y-axis, as shown. Each is a distance l = 5m from the center of the figure. A thir mass m = 2kg is placed on the x-axis at an initial distance r = 0.045m from the origin. The constan of gravitation is G = 6.67 × 1o-11Nm²kg¯2 (a) What is the magnitude of the gravitational force on the smaller mass m? м (fixed in place) (free to move) х-ахis (path of m) M (fixed in place) (b) If the small mass m is allowed to freely move, it will end up oscillating back and forth. What is the frequency of this oscillation? (Recall that for very small angles, sin 0 z 0). (c) What is the amplitude of this oscillation? (Note that you don't need to know the froquonoU dotormino thigl)

The figure below shows two large masses, M, that each have a mass of 3.0 x 106 kg. These masses ar fixed in place along the y-axis, as shown. Each is a distance l = 5m from the center of the figure. A thir mass m = 2kg is placed on the x-axis at an initial distance r = 0.045m from the origin. The constan of gravitation is G = 6.67 × 1o-11Nm²kg¯2 (a) What is the magnitude of the gravitational force on the smaller mass m? м (fixed in place) (free to move) х-ахis (path of m) M (fixed in place) (b) If the small mass m is allowed to freely move, it will end up oscillating back and forth. What is the frequency of this oscillation? (Recall that for very small angles, sin 0 z 0). (c) What is the amplitude of this oscillation? (Note that you don't need to know the froquonoU dotormino thigl)

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)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

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The figure below shows two large masses, M, that each have a mass of 3.0 x 106 kg. These masses are
fixed in place along the y-axis, as shown. Each is a distance l = 5m from the center of the figure. A third
mass m = 2kg is placed on the x-axis at an initial distance x = 0.045m from the origin. The constant
of gravitation is G = 6.67 × 1o-11Nm²kg¯2
(a) What is the magnitude of the gravitational force on the smaller mass m?
м
K(fixed in place)
(free to
х-ахis
(path of m)
move)
M
(fixed in place) |
(b) If the small mass m is allowed to freely move, it will end up oscillating back and forth.
What is the frequency of this oscillation? (Recall that for very small angles, sin 0 z 0).
(c) What is the amplitude of this oscillation? (Note that you don't need to know the
frequency to determine this!)

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