(10%) Problem 3: The center of a moon of mass m = 1 1023 kg is...

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(10%) Problem 3: The center of a moon of mass m = 1 1023 kg is a distance D = 35 105 km from the center of a planet of mass M= 16.2 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero. A 50% Part (a) Derive an expression for x. x = D 1 1+ M m x = D. M M+m x = D m M 1 M x = D M x = D= m x = D m 1+ m+1 M A 50% Part (b) Calculate x in kilometers, given the variables in the beginning of the problem. (10%) Problem 3: The center of a moon of mass m = 1 1023 kg is a distance D = 35 105 km from the center of a planet of mass M= 16.2 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero. A 50% Part (a) Derive an expression for x. x = D 1 1+ M m x = D. M M+m x = D m M 1 M x = D M x = D= m x = D m 1+ m+1 M A 50% Part (b) Calculate x in kilometers, given the variables in the beginning of the problem.