Use the data of Table 7.3 to find the point between Mercury and the Sun at which an object can be placed so that the net gravitational force exerted by Mercury and Sun on this object is zero. m from the center of MercuryUseful Planetary DataBodyMass (kg)Mean Radius (m)Period (s)Distance from Sun (m)T2/r3 (s2/m3)Mercury3.18 ✕ 10232.43 ✕ 1067.60 ✕ 1065.79 ✕ 10102.97 ✕ 10-19Venus4.88 ✕ 10246.06 ✕ 1061.94 ✕ 1071.08 ✕ 10112.99 ✕ 10-19Earth5.98 ✕ 10246.37 ✕ 1063.156 ✕ 1071.496 ✕ 10112.97 ✕ 10-19Mars6.42 ✕ 10233.37 ✕ 1065.94 ✕ 1072.28 ✕ 10112.98 ✕ 10-19Jupiter1.90 ✕ 10276.99 ✕ 1073.74 ✕ 1087.78 ✕ 10112.97 ✕ 10-19Saturn5.68 ✕ 10265.85 ✕ 1079.35 ✕ 1081.43 ✕ 10122.99 ✕ 10-19Uranus8.68 ✕ 10252.33 ✕ 1072.64 ✕ 1092.87 ✕ 10122.95 ✕ 10-19Neptune1.03 ✕ 10262.21 ✕ 1075.22 ✕ 1094.50 ✕ 10122.99 ✕ 10-19Pluto~1.4 ✕ 1022~1.5 ✕ 1067.82 ✕ 1095.91 ✕ 10122.96 ✕ 10-19Moon7.36 ✕ 10221.74 ✕ 106---Sun1.991 ✕ 10306.96 ✕ 108---

The useful data from the table are Mass of mercury mm=3.18 ✕ 1023kg Distance between sun and mercury…

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Use the data of Table 7.3 to find the point between Mercury and the Sun at which an object can be placed so that the net gravitational force exerted by Mercury and Sun on this object is zero.
m from the center of Mercury

Useful Planetary Data

Body	Mass (kg)	Mean Radius (m)	Period (s)	Distance from Sun (m)	T²/r³ (s²/m³)
Mercury	3.18 ✕ 10²³	2.43 ✕ 10⁶	7.60 ✕ 10⁶	5.79 ✕ 10¹⁰	2.97 ✕ 10^-19
Venus	4.88 ✕ 10²⁴	6.06 ✕ 10⁶	1.94 ✕ 10⁷	1.08 ✕ 10¹¹	2.99 ✕ 10^-19
Earth	5.98 ✕ 10²⁴	6.37 ✕ 10⁶	3.156 ✕ 10⁷	1.496 ✕ 10¹¹	2.97 ✕ 10^-19
Mars	6.42 ✕ 10²³	3.37 ✕ 10⁶	5.94 ✕ 10⁷	2.28 ✕ 10¹¹	2.98 ✕ 10^-19
Jupiter	1.90 ✕ 10²⁷	6.99 ✕ 10⁷	3.74 ✕ 10⁸	7.78 ✕ 10¹¹	2.97 ✕ 10^-19
Saturn	5.68 ✕ 10²⁶	5.85 ✕ 10⁷	9.35 ✕ 10⁸	1.43 ✕ 10¹²	2.99 ✕ 10^-19
Uranus	8.68 ✕ 10²⁵	2.33 ✕ 10⁷	2.64 ✕ 10⁹	2.87 ✕ 10¹²	2.95 ✕ 10^-19
Neptune	1.03 ✕ 10²⁶	2.21 ✕ 10⁷	5.22 ✕ 10⁹	4.50 ✕ 10¹²	2.99 ✕ 10^-19
Pluto	~1.4 ✕ 10²²	~1.5 ✕ 10⁶	7.82 ✕ 10⁹	5.91 ✕ 10¹²	2.96 ✕ 10^-19
Moon	7.36 ✕ 10²²	1.74 ✕ 10⁶	-	-	-
Sun	1.991 ✕ 10³⁰	6.96 ✕ 10⁸	-	-	-

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