Calculate the gravitational field strength on the moon.

Calculate the gravitational field strength on the moon.

$$\small{\text{Newton's Law of Gravitation: }} F=\boxed{G*\frac{m_1*m_2}{r^2}=m_2*g}\\ \small{\text{$ g_{moon}=G*\dfrac{m_{moon}}{r_{moon}^2} \qquad G= 6.673 * 10^{-11} * \frac { N*\ m^2 } { kg^2 } \qquad m_{moon}=7.349*10^{22}\ kg \qquad r_{moon}=1.738*10^6\ m $ }}\\\\ \small{\text{$ g_{moon}=6.673 * 10^{-11}*\dfrac{ 7.349*10^{22} }{ (1.738*10^6)^2}* \frac{N*\ m^2 *\ kg }{ kg^2*\ m^2 } = \dfrac{ 6.673*7.349 * 10^{-11+22-12}} { 1.738^2 } * \frac { N } { kg } $ }}\\\\ \small{\text{$ g_{moon}= \dfrac{ 6.673*7.349 * 10^{-1}} { 1.738^2 } * \frac { \dfrac{kg*\ m }{s^2} } { kg } $ }}\\\\ \small{\text{$ g_{moon}= 1.62349078541 * \dfrac{ m }{s^2}$ }}$$