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ssm Synchronous communications satellites are placed in a circular orbit that is $3.59 \times 10^{7}$ m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?

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0.223$m / s^{2}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Alyssa J.

November 10, 2021

Excellent demonstration of solving this problem

Cornell University

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Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

03:17

Synchronous communications…

02:12

Communications satellites …

02:52

Find the orbital speed of …

04:23

A satellite is placed in a…

02:56

An Earth satellite in a ci…

02:25

A satellite requires $86.5…

03:57

An Earth Satellite An Ear…

01:14

What is the acceleration o…

02:18

A planet orbiting a distan…

the weight force that is acting you're the satellite is related to the gravitational force that is actually acting on the satellite by the following equation. From one side, the weight forced is equal to the mass, the satellite times, the acceleration of gravity where the satellite is located. On the other hand, the nature off the weight force or the force that produces the weight force is the gravitational interaction between the satellite and the earth, and the gravitational interaction produces a repetition of force. We just give him by Newton's constant times the mass off the earth times, the mass off the object that is under the influence off the gravitational field producer by the Earth. And finally we divide lose by the distance between the center of the earth on the object that is under the effect of gravity. Now, to calculate exhibition off gravity, we create these two equations so the weight is equals to the gravitational force. Then the mass times acceleration of gravity. Busy Costa G mass off your mask off the object divided by r squared. There is this simplification of the masses under get in equation for the graphic acceleration, G minds off the earth, divided by R squared now breaking the virus that were given by the problem we get the following gravitational acceleration G Eazy kohstuh 6.6 to 7 times 10 to minus 11 times the mass off the earth 5.98 times stand to 24 kilograms divided by r squared. Now R squared is the distance between the centre off the earth and the object there is orbiting the earth. So it is equals to the radios off the earth, plus the distance between the surface off the earth on the satellite. So this is divided by 6.38 times 10 to the sixth, plus 3.59 times stand to the servant and this is squared. It gives us a gravitational acceleration off approximately 0.223 meters per second squared.

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