Suppose we invent a unit of mass which we shall call the caendish (C). One cavendish of mass is defined such that `G = 1.0000(AU)^(3)//(yr^(2)C)`. Our unit of length is the astronomical unit `(AU)`, the earth-sun distance`-1AU = 1.496 xx 10^(11) m`- and our unit of time is the year `(yr)`. (a) Datermine the conversion factor between C and kg. (b) Find the mass of the sun in C.

Answer

(a) `1.984 xx 10^(-29) C//kg`; (b) `39.5 C`