Determine the approximate distance...

Question

Determine the approximate distance between the Earth, with a mass of approximately 6.0x10^24 kg, and an object which has a mass of 6.42x10^22 kg if the gravitational force equals approximately 4.95x10^21 N. Remember F=km1m2⁄d^2 and the Universal Gravitational Constant equals 6.67x10^-11 Nm^2⁄kg^2.

Thanks in advanced.

Answer 1

F = km₁m₂/d²

 

 

Solving for d, we get d = √(km₁m₂/F).

 

 

With k = 6.67 x 10^-11 N·m²/kg²,

 

d = √(6.67 x 10^-11 * 6.0 x 10²⁴ * 6.42 x 10²² / 4.95 x 10²¹) = 7.2 x 10⁷m