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Approximate Mars's orbit as circular with a radius equal to semimajor axis of the real orbit....

Approximate Mars's orbit as circular with a radius equal to semimajor axis of the real orbit. Part A What is the magnitude of the gravitational force exerted by the Sun on Mars? Express your answer to two significant digits and include the appropriate units. Part B What is the magnitude of the gravitational force exerted by Mars on the Sun? Express your answer to two significant digits and include the appropriate unit

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Answer #1

The magnitude of the Gravitational force on Earth due to Mars and vice versa is the same. Since force is a vector quantity, the direction is different in the two cases. The force vector on Mars due to sun points towards instantaneous position of the planet. Since, there is a circular symmetry, it is considered to be the same at any given point. While that due to Mars on sun points towards sun

Gravitational force is given by:

where r is the distance between the two.

Hence,

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