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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)`

Text Solution

Verified by Experts

(i) `3ms^(-2) = (3/1000 km) ( (1)/(60 xx 60) 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) Nm^2 kg^(-2)`
` = 6.67 xx 10^(-11) (kg ms^(-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 g^(-1) cm^3 s^(-2)`
`= 6.67 xx 10^(-8) g^(-1) cm^3 s^(-2)`
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