(a) According to law of conservation of linear momentum, the total initial momentum of the system is equal to the total final momentum of the system. That is, Here, is mass of hydrogen atom, is mass of helium atom, is initial velocity of hydrogen atom, is initial velocity of helium atom, is final velocity of hydrogen atom, and is final velocity of helium atom, The initial velocity of the helium is zero, that is. Thus, the equation becomes as, Thus, the final velocity of the helium atom is, Substitute for, for, for, and for, Therefore, the final velocity of the helium atom is.
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