a) Starting with the Universal Law of Gravitation, and theconcept of weight deve

Question

a) Starting with the Universal Law of Gravitation, and theconcept of weight develop the generalexpression of the gravitational field of a planet "g" b) Using the result of (a), calculate the accelation ofgravity near the surface of the planet Mars.          NOTE: G =6.67 X 10-11 SI units         MEarth       = 5.98 X1024 SI units         MMars     = 6.42 X1023 SI units          Diameter ofMars = 6.74 X 106 SI units Please clearly show work. a) Starting with the Universal Law of Gravitation, and theconcept of weight develop the generalexpression of the gravitational field of a planet "g" b) Using the result of (a), calculate the accelation ofgravity near the surface of the planet Mars.          NOTE: G =6.67 X 10-11 SI units         MEarth       = 5.98 X1024 SI units         MMars     = 6.42 X1023 SI units          Diameter ofMars = 6.74 X 106 SI units Please clearly show work.

Explanation / Answer

(a)   gravitational force = G M m /R2      at surface ofplanet .      weight = mg . weight is gravitational force so, at surface ofplanet: .              mg = G M m / R2 . Or:       g = GM / R2 . (b)   for Mars... .      g = 6.673 x10-11 * 6.42 x 1023 / (6.74 x 106)2=    0.943m/s2 . (b)   for Mars... .      g = 6.673 x10-11 * 6.42 x 1023 / (6.74 x 106)2=    0.943m/s2

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