If both the mass and the radius of earth decrese by 1% find percentage change in g.

Explanation

`implies ` Since `g = (Gm_e)/R_e^2 " "..(1)`
New mass `M._e = M_e -1% M_e`
`= (99)/100 M_e`
New radius `R._e = R_(e) -1% R_e`
`=99/100R_e`
New acceleration due to gravity
`g.=(Gm._e)/((R._e)^2)`
`g.=(G(99/100M_e))/((99/100)^2R_e^2)`
`g. = 100/99 g`
`:. (g.)/g = 1.01`
`:. (g.-g)/g = (1.01 -1)/1 = 0.01`
`(Deltag)/(g) xx 100% = 1%`