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

Data : Incorrect Gravitational constant ` G = 6.67 xx10^(11) "Nm"^(2) kg^(-2)`
Mass of the Earth `M_(e) = 5.972 xx10^(24) ` kg
Radius of the Earth `R_(e) = 6371" km (or) " 6371 xx10^(3)` m
Acceleration due to gravity g. ` = (GM_(e))/(R_(e)^(2))`
` g. = (6.67 xx10^(11)xx5.97 xx10^(24))/((6371 xx10^(3))^(2)) `
` = (39.8332 xx10^(35))/(4.0589641 xx10^(13)) = 9.81 xx10^(22)`
`g . = 10^(22) g `
New weight `W. = Mg. = M (10^(22)g) = 10^(22) mg `