If the mass of Venus is 4867 1024 kg and its mean radius is

If the mass of Venus is 4.867 * 10^24 kg and its mean radius is 6052 km, calculate: a) the acceleration due to gravity on the surface of Venus; b) the force of gravity felt by a 100-kg person on the surface of this planet.

Solution

mass of Venus M= 4.867 * 10 ²⁴ kg

Mean radius R= 6052 km

                     = 6052 x10 ³ m

a) the acceleration due to gravity on the surface of Venus g=GM/R ²

Where G = Gravitational constant = 6.67 x10 ^-11 Nm ²/kg ²

Substitute values you get , g =(6.67x10 ^-11)(4.867x10 ²⁴) /(6052x10 ³) ²

                                          = 8.863 m/s ²

b) the force of gravity felt by a 100-kg person on the surface of this planet F = ma

Where ,m = mass of person = 100 kg

Therefore F = 100 x 8.863

                 = 886.3 N