Ceres is a large asteroid that orbits the Sun between Mars and Jupiter. Ceres has a mass of 9.4 x 1020 kg and a radius of about 4.7 x 10° m. If a spacecraft attempts to land on the asteroid, what acceleration due to gravity will it experience near the surface?

The acceleration due to gravity near the surface of Ceres is approximately 0.284 m/s²

Explanation:

The given parameters are;

The mass of Ceres = 9.4 × 10²⁰ kg

The radius of Ceres, r = 4.7 × 10⁶ m

By Newton's law of gravitation, we have;

Therefore;

Where;

m₁ = The mass of Ceres = 9.4 × 10²⁰ kg

m₂ = The mass of the spacecraft

G = 6.6743 × 10⁻¹¹ N·m²/kg²

Substituting the values, we get;

The acceleration due to gravity near the surface of Ceres ≈ 0.284 m/s²

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