What is the force of gravity acting on a 2000-kg spacecraft when it orbits two Earth radii from the Earth’s center (that is a distance r=6380 km above the Earth's Surface. The mass of the Earth is 5.98 x 1024 kg.

Respuesta :

Answer:

F = 4.816 × 10 ⁻¹⁰ N

Explanation:

mass of earth M = 5.98 × 10²⁴ m,  mass of the spacecraft m = 2000 kg,

distance between the spacecraft and earth's center

r = 6380 × 10³m + 6.38  ×10⁶ m = 4.07 × 10¹³ m

Formula for force of gravity is

F= G M m / r²  

F = 6.67 × 10⁻¹¹ Nm² /kg² × 5.98 × 10²⁴kg× 2000 kg / (4.07 × 10¹³ m)²

F = 4.816 × 10 ⁻¹⁰ N