0825 2.

asked • 01/30/22

Why doesn't the earth fall into the sun? Is it because the centrifugal force cancels out the centripetal force?

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Heidi T. answered • 01/30/22

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0825 2.

but, according to a page in Wikipedia, it said- The Earth does not roll directly towards the Sun because it is moving too fast. The force pulling the Earth towards the sun is about the same as a second force. This second force is called the centrifugal force. The centrifugal force exists because the Earth moves sideways. This sideways motion makes the distance between the Earth and Sun increase. Why does the Earth not fall into the Sun? The answer is simple but very important. The speed of the Earth's movement creates a centrifugal force which balances the gravitational force between the Sun and the Earth. Why does the Earth continue spinning? Because there is no force to stop it.
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01/31/22

Heidi T.

Also from Wikipedia: "In Newtonian mechanics, the centrifugal force is an inertial force (also called a "fictitious" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It is directed away from an axis which is parallel to the axis of rotation and passing through the coordinate system's origin. If the axis of rotation passes through the coordinate system's origin, the centrifugal force is directed radially outwards from that axis." The centrifugal force (represented in equations as (M v^2)/r ) isn't really there. It describes the inertia (resistance to change in motion) of the orbiting object. If the Sun were to suddenly have 0 mass, the Earth would not fly directly away from the Sun, which would be required if the centrifugal force were a real force, such as the gravitational force. Without the Sun to cause the earth's velocity vector to change direction, the Earth would move on a trajectory that is tangent to the orbit in a straight line, as required by Newton's First Law. If the Earth were not moving, then the only force acting would be the gravitational force of the Sun, and the Earth would fall into the Sun in a straight line from its original position to the Sun. The comparison of the Earth's orbit with its rotation doesn't make much sense. Yes, the earth spins on its axis because there is no (significant) force slowing it down. That really has nothing to do with why the Earth stays in orbit even though the only force causing the rotation is the gravitational force of the Sun.
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01/31/22

0825 2.

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02/01/22

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