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.

F₁₋₂ = 1.036*10⁻⁵ [N]

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.

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:

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =