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For an object of mass the energy required to escape the Earth's gravitational field is GMm / r, a function of the object's mass (where r is the radius of the Earth, G is the gravitational constant, and M is the mass of the Earth, M =5.9736Ã10 24 kg).or a mass equal to a Saturn V rocket, the escape velocity relative to the launch pad is 253.5 am/s (8 nanometers per year) faster than the escape velocity relative to the mutual center of mass.
1 An unbalanced force of 18 N is needed to give an object an acceleration of 3 m/s2. What force is needed to give this very same object an acceleration of 10 m/s2? Answer.  A rocket pack with a thrust of 100 N accelerates a weightless astronaut at 0.5 m/s2 through free space.