The mass of the planet Mars is 6.39 x 10^23 kg. Using Newton's Law of Gravitation, calculate the force of gravity between the planet Mars and the 74 kg Mars Rover drone on the surface if the distance between the center of Mars and surface is 2129.9 km. Show all work.
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Respuesta :

hamzaahmeds hamzaahmeds · Answer 1 · 2020-10-10T02:13:22+02:00

Answer:

F = 695.25 N

Explanation:

The force between Mars and Rover can be given by Newton's Law of Gravitation can be written as follows:

F = Gm₁m₂/r²

where,

F = Force of Gravity = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = mass of rover = 74 kg

m₂ = mass of mars = 6.39 x 10²³ kg

r = distance between the centers of mars and rover = 2.1299 x 10⁶ m

Therefore,

F = (6.67 x 10⁻¹¹ N.m²/kg²)(74 kg)(6.39 x 10²³ kg)/(2.1299 x 10⁶ m)²

F = 695.25 N