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Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a distance of 25 m. Find the gravitational attraction between them.

Respuesta :

quasarJose

Answer:

1.07 x 10⁻⁸N

Explanation:

Given parameters:

Mass 1 = 200kg

Mass 2  = 500kg

Distance of separation  = 25m

Unknown:

Gravitational attraction between the two bodies  = ?

Solution:

To solve this problem, we use the equation of the universal gravitation;

                 F  = [tex]\frac{G mass 1 x mass 2}{r^{2} }[/tex]  

G is the universal gravitation constant  = 6.67 x 10⁻¹¹Nm²kg⁻²

r is the distance

 Now insert the parameters and solve;

    F  = [tex]\frac{6.67 x 10^{-11} x 200 x 500 }{25^{2} }[/tex]   = 1.07 x 10⁻⁸N

Cricetus

The gravitational attraction between the objects is "1.0672×10⁻⁸ N".

Given:

Mass of objects,

  • [tex]m_1 = 200 \ kg[/tex]
  • [tex]m_2 = 500 \ kg[/tex]

Distance,

  • [tex]r = 25 \ m[/tex]

We know,

  • [tex]G = 6.67\times 10^{-11} \ Nm^2/kg^2[/tex]

As we know the relation,

→ [tex]F_G = \frac{Gm_1m_2}{r^2}[/tex]

By substituting the values, we get

        [tex]= 6.67\times 10^{-11}\times \frac{200\times 500}{(25)^2}[/tex]

        [tex]= 1.0672\times 10^{-8} \ N[/tex]

Thus the above answer is right.

Learn more about gravitation here:

https://brainly.com/question/14741278

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