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A meteoroid is moving towards a planet. It has mass m = 0.78×109 kg and speed v1 = 4.1×107 m/s at distance R1 = 2.8×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 4.4×1025 kg. There is no air around the planet. Calculate the value of PE1, in joules

Respuesta :

Answer:

[tex]PE=81.755\, J[/tex]

Explanation:

Given that:

  • mass of meteoroid, [tex]m=7.8\times 10^8 \,kg[/tex]
  • radial distance from the center of the planet, [tex]R= 2.8\times 10^7 m[/tex]
  • mass of the planet, [tex]M=4.4\times 10^{25}\, kg[/tex]

For gravitational potential energy we have:

[tex]PE=G\frac{M.m}{R}[/tex]

substituting the respective values:

[tex]PE=6.67\times 10^{-11}\times \frac{4.4\times 10^{25}\times 7.8\times 10^8}{2.8\times 10^7}[/tex]

[tex]PE=81.755\, J[/tex]

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