Orbital velocity is the average speed of a planet moving through space in its orbit around the sun. which of the following planets has the fastest orbital velocity? marsvenusjupitermercury

The force of gravity is equal to the mass times centripetal acceleration.

Fg = m v^2 / r

The force of gravity is defined by Newton's law of universal gravitation as:

Fg = mMG / r^2

Therefore:

mMG / r^2 = m v^2 / r

MG / r = v^2

v increases as r decreases. So the planet with the smallest orbit (closest to the sun) will have the highest orbital velocity. Of the four options, that's Mercury.

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