Question

An asteroid with a mass of 3.5x10kg is 26,000m from a second asteroid with a

mass of 3.0x1012 kg.
Calculate the gravitational force between the two asteroids.

Answer 1

F₁₋₂ = 1.036*10⁻⁵ [N]

Step-by-step explanation:

In order to solve this problem, we must use the law of universal gravitation, which can be defined by means of the following expression.

`F_(1-2)=G*(m_(1)*m_(2))/(d^(2) )`

where:

F₁₋₂ = Force among the two bodies [N]

G = Universal gravity constant = 6.67 *10⁻¹¹ [N*m²/kg²]

m₁ = mass of the first body = 3.5*10 [kg]

m₂ = mass of the second body = 3*10¹² [kg]

d = separation distance = 26000 [m]

Now replacing:

`F_(1-2)=6.67*10^(-11)*(3.5*10*3*10^(12) )/(26000^(2) ) \\F_(1-2)=1.036*10^(-5)[N]`