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.

Respuesta :

Answer:

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.

[tex]F_{1-2}=G*\frac{m_{1}*m_{2}}{d^{2} }[/tex]

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:

[tex]F_{1-2}=6.67*10^{-11}*\frac{3.5*10*3*10^{12} }{26000^{2} } \\F_{1-2}=1.036*10^{-5}[N][/tex]

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