Suppose unknowingly you wrote the universal gravitational constant value as `G = 6.67 xx 10^(11)` Instead of the correct value `G = 6.67 xx 10^(-11)`, what is the acceleration due to this new acceleration due to gravity, what will be your weight W'?

Explanation

Mass of the earth `M = 6.024 xx 10^(24) kg`
Radius of the earth `R = 6.4 xx 10^(6)m`
Gravitaitonal constant G' (Incorrect) = 6.67 xx 10^(11)`
Acceleration due to gravity g' = ?
`g' = (G'M)/(R^2) = (6.67 xx 10^(11) xx 6.024 xx 10^(24))/((6.4 xx 10^6)^(2))`
`g' = 9.8 xx 10^(22) m//s^(2)`
`g = 9.8 m//s^(2)`
`:. g' = g xx 10^(22) (or) 10^(22)`
`g = g' m//s^(2)`
`:' "Weight", W = mg`
`W' = mg' = (mg) xx 10^(22)`
W' = W xx 10^(22)`
`W = W'//10^(22)`.