Given that the acceleration of gravity at the surface of Mars is 0.38 of what it is on Earth, and that Mars' radius is 3400 km , determine the mass of Mars.

Respuesta :

The mass of the planet Mar, given the data from the question is 6.45×10²³ Kg

Data obtained from the question

  • Acceleration due to gravity of Earth = 9.8 m/s²
  • Acceleration due to gravity of Mar (g) = 0.38 × 9.8 = 3.724 m/s²
  • Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
  • Radius (r) = 3400 Km = 3400 × 1000 = 3400000 m
  • Mass (M) =?

How to determine the mass of Mar

g = GM / r²

Cross multiply

GM = gr²

Divide both sides by G

M = gr² / G

M = (3.724 × 3400000²) / 6.67×10¯¹¹

M = 6.45×10²³ Kg

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