5. In Newton's theory of gravitation, the Earth's gravitational field is given by,-GMg(7)p3where =(x, y, z) is the position vector relative to the centre of the Earth, r =||Fl, M is the mass of theEarth and G is the gravitational constant. The force acting on a particle of mass m at position ř is given byF = mg(r).(a) A rocket of mass m is launched from position (0, 0, R) and travels to (0,0, R + h) in a time T, along thestraight line path C1. A similar rocket travels along the spiral path C2 given byhtT2nt0, cosT2ntř = h(t) = ( R+sin%3DTwith 0

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Answered: relative to the centre of the Earth, r…

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