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Convert 3 ms^(-2) "to km" h^(-2) (ii)...

Convert
3 `ms^(-2) "to km" h^(-2)` (ii) G = `6.67 xx 10^(-11)` N `m^(2) kg^(-2)` to `cm^(3) g^(-1) s^(-2)`

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(i) `3 ms^(-2) = ((3)/(1000) km)((1)/(60xx60)hr)^(-2)`
`= (3 xx (60 xx 60)^(2))/(1000) = 3.8880 xx 10^(4) "km" h^(-2) = 3.9 xx 10^(4) "km" h^(-2)`
(ii) G = `6.67 xx 10^(-11) N m^(2) kg^(-2)`
`= 6.67 xx 10^(-11) (kg m s^(-2)) (m^(2) kg^(-2))`
`= 6.67 xx 10^(-11) kg^(-1) m^(3) s^(-2)`
`= 6.67 xx 10^(-11) (1000 g)^(-1) (100 cm)^(3) (s^(-2))`
`= 6.67 xx 10^(-11) xx (1)/(1000) xx 100 xx 100 xx 100 g^(-1) cm^(3) s^(-2)`
`= 6.67 xx 10^(-8) g^(-1) cm^(3) s^(-2)`
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