fill in the blanks by suitable conversion of units :
(i) `5ms^(-2) = ……. Km h^(-2)`
(ii) `G = 6.67 xx 10^(-11) Nm^2 kg^(-2)`
`=….. Cm^3 s^(-2) g^(-1)`

Answer

`6.480xx10^4 km h^(-2)` ;` 6.67 xx10^(-8) cm^3 s^(-2) g^(-1)`

Explanation

(i) `5ms^(-2) =5 (10^(-3)km) ((1)/(60xx60)h)^(-2)`
`=5xx10^(-3)xx3600xx3600 km h^(-2)`
`=6.480 xx 10^4 km h^(-2)`
(ii) `G = 6.67xx10^(11)Nm^2 kg^(-2)`
`=6.67xx10^(-11)(kgms^(-2)) m^2 kg^(-2)`
`= 6.67 xx10^(-11) m^3 s^(-2) kg^(-1)`
`=6.67 x10^(-11) (10^2 mc)^3(10^3 g)^(-1)`
`G = 6.67x10^(-8) cm^3 s^(-2) g^(-1)`