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

Incorrect value of G`=6.67xx10^(11)`
`g=(GM)/(R^2)`
`M_(E)=6.02xx10^(24)kg`
`R_(E)=6.4xx10^(6)`
`g'=(6.67xx10^(11)xx6.02xx10^(24))/((6.4xx10^6)^(2))`
`=(40.1534)/(40.96)xx10^(11+24-12)`
`=0.9798xx10^(35-12)`
`=0.9798xx10^(23)`
`=9.798xx10^(22)`
`g'=9.798xx10^(22)`
`=9.8xx10^(22)`
If mass m = 1
then weight `W'=mg'=9.8xx10^(22)`
`W'=9.8xx10^(22)W`