# Astronomical DatatOrbital periodBodyMass (kg)Radius (m)Orbit radius (m)1.99 X 10307.35 x 10223.30 X 10234.87 x 10245.97 X 10246.42 x 10231.90 X 10275.68 x 10268.68 X 10251.02 x 10261.31 X 10226.96 X 1081.74 X 1002.44 X 1006.05 1006.37 x 1003.39 X 1006.99 X 105.82 x 102.54 X 102.46 X 101.15 X 106Sun3.84 X 1085.79 X 10101.08 x 101.50 X 102.28 X 107.78 X 1011.43 X 10122.87 X 10124.50 x 10125.91 X 1012Мoon27.3 dMercuryVenus88.0 d224.7 dEarth365.3 d687.0 d11.86 y29.45 y84.02 y164.8 y247.9 yMarsJupiterSaturnUranusNeptunePlutoSource: NASA (http://solarsystem.nasa.gov/planets/). For each body, "radius" is its average radius and "orbit radius"is its average distance from the sun or (for the moon) from the earthIn August 2006, the International Astronomical Union reclassified Pluto and similar small objects that orbit the sun as"dwarf planets.

Question
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Suppose the planet Mars has an electric field similar to Earth's, producing a net electric flux of -363 x 1016 Nm2/C at the planet's surface.

(a) Calculate the total electric charge on Mars.

(b) Calculate the electric field at the surface of Mars (see chart).

(c) Calculate the the charge density on Mars, assuming all the the charge is           uniformly distributed over the surface.

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Step 1

(a)

According to gauss law, find the total electric charge on the planet.

Substitute the values,

Step 2

(b)

The electric field at the surface of Mars is,

Substitute the values,

Step 3

(c)

The charge density on Mars...

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