Question

The mass of the earth is 6 × 10²⁴kg and that of the moon is 7.4 × 10²²kg. If the distance between the earth and the moon be 3.84 × 10⁵km, calculate the force exerted by the earth on the moon. ( G = 6.7×10^-11 Nm²kg^-2​ )

Answer 1

Answer:

mass of earth (m1) = 6 * 10^24 kg

mass of moon (m2) = 7.4 * 10^22 kg

distance between earth and moon = 3.84 *10^5 km

                                                          = 3.84 * 10^8 m

F = (G*m1 * m2) / R²

where F is the force, G is the gravitational constant, m1 and m2 are the masses of the bodies, R is the distance between the two bodies

F = ($6.7 *10^{-11}$ * $6*10^{24} *7.4*10^{22}$ ) / $(3.84*10^{8} )^{2}$

  = 20.069 * $10^{19}$

  = 20.1 * 10^19 N