Question

the mass of the earth is 6 x 10^24. the radius of the earth is 6.4 x 10^6 and the gravitational constant 6.7 x 10^-11Nm^2/kg2 calculate the value of g

Answer 1

Answer:

11.11167 (according to the approximated values given)

Explanation:

First, we will need to know what 'g' is.

g  -  The acceleration due to gravity by an object on the other. It is obtained by dividing the force of gravitational pull by the mass of the object on which we want to find the acceleration

Remember, Force due to gravity:

$F = Gm_1m_2/r^2\\\\a = F/m1 = Gm_2/r^2$

Now, in this question:

G = Universal Gravitational Constant = 6.67 $* 10^{-11}$ SI Units

$M = 6 * 10^{24}\\R = 6.4 * 10^{6}\\\\a = GM/r^2 = (6.67 * 10^{-11} * 6 * 10^{24})/(6.4 * 10^6)^2\\a = 1.11167 * 10 = 11.1167 m/s^{2}$

The actual gravity on Earth is 9.8, but since we approximated the values of mass and radius of the Earth, it is slightly greater.

Hope it helps!