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As a rocket carrying a space probe accelerates away from Earth, the fuel is being used up and the rocket's mass becomes less. When the mass of a rocket (and its fuel) is M and the distance of the rocket from Earth's centre is 1.5rE, the force of gravitational attraction between Earth and the rocket is F1. When some fuel is consumed causing the mass to become 0.5M and the distance from Earth's centre is 2.5rE, the new gravitational attraction F2. Determine the ratio of F2 to F1. The symbol rE is Earth's radius.
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