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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) Use the de Broglie equation to determine the energy (not momentum) of the atom [note the appearence of the mass (in kg) of a He atom]: Î» = h/p. Î» = h/â(2Em). 4.30 x 10Â¯ 12 m = 6.626 x 10Â¯ 34 J s / â[(2) (x) (6.646632348 x 10Â¯ 27 kg)]. I dropped the units.