The density of earth increased 4 times and its radius becomes half the

1.	The density of earth increased 4 times and its radius becomes half then our weight will ....
Answer» be four times its present VALUE be doubled remains same be halved Solution :`implies ` weight `W = mg = m((GM_e)/(R_e^2))` `= ((G)/(R_e^2) xx4/3piR_e^3rho)` `W = m (4/3 PI R_e) rho ""...(1)` New weight if the density of EARTH increased four TIME and radius becomes half is `W. = m (4/3 piR_e/2G) 4rho` `= 2 [m(4/3 piR_e/2G) 4rho` `= 2 [ m(4/3 pi GR_e) rho] "" ...(2)` `:. W. = 2W`

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