Answer to Question #170419 in Physics for Rey anne Morente Briones

Question

the distance between earth and moon (r) is 4.34 × 10⁸m.What is the magnitude of the gravitational force each exerts on the other?Earth mass (mE)= 5.97 × 1024 kg and Moon's mass (mM)=7.35 ×1022 kg

Answer 1

$$F=\dfrac{Gm_Em_M}{r^2},$$ $$F=\dfrac{6.67\cdot10^{-11}\ \dfrac{Nm^2}{kg^2}\cdot5.97\cdot10^{24}\ kg\cdot7.35\cdot10^{22}\ kg}{(4.34\cdot10^8\ m)^2},$$ $$F=1.55\cdot10^{20}\ N.$$