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Physics 8-3: Show how kinetic energy and particle mass are related; Magnitude of cardinal and baseball; Ratio of man's kinetic energy to woman's

8-3.
a) Show that the kinetic energy K and the momentum magnitude p of a particle of mass m are related by K = p2/2m.

b) A 0.040-kg cardinal (Richmondena cadinalis) and a 0.145-kg baseball have the same kinetic energy. Which has the greater magnitude of momentum? What is the ratio of the cardinal's magnitude of momentum to the baseball's?

c) A 700-N man and a 450-N woman have the same momentum. Which has the greater kinetic energy? What is the ratio of the man's kinetic energy to that of the woman?

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