Question

how would the value of 'g' and 'G' is different if the mass of earth becomes four times?​

Answer 1

Hey here's the answer

As the G is universal constant, it will not change

as g= Gm÷r^2

g will be

g = G×4m÷r^2

Answer 2

The value of G will never ever change as it is a Universal constant.

The value of g will change and it will become four times the original value .

$\underline{\mathbb{EXPLANATION}}$

▶ The value of g can be found out by using the formula :

$\mathsf{g=\dfrac{G\times mass\:of\:Earth\:\times\:mass\:of\:object}{r^2}}$

G is the Universal Gravitational Constant .

r is the radius of the Earth .

m is the mass of the Earth .

▶ From the above formula we notice that the value of g is directly proportional to the mass of the Earth .

▶ Hence if the value of the mass of Earth becomes four times , the value of g will also becomes four times the original value .

▶ The value of G is always constant .

The value of G is $\bf{6.7\times 10^{-11} m^3 kg^{-1}s^{-2}}$