Question

The mass and radius of Mars are approximately 6.39×10²³ kg and 3.3895×10⁶ m, respectively. Using the equation g=GM/r² find the gravitational field strength of Mars.

Answer 1

The gravitational field strength of Mars is approximately 3.767 m/s², calculated using the formula g=GM/r² with the given values of Mars's mass and radius.

Step-by-step explanation:

To calculate the gravitational field strength on the surface of Mars, we use the formula g=GM/r². Here, G is the gravitational constant (6.674×10⁻¹¹ Nm²/kg²), M is the mass of Mars (6.418×10²³ kg), and r is the radius of Mars (3.38×10⁶ m). Substituting these values into the equation:

• g = (6.674×10⁻¹¹ Nm²/kg² × 6.418×10²³ kg) / (3.38×10⁶ m)²
• g = (43.027032×10⁻¹¹ Nm²/kg) / (1.142724×10⁽¹ m²)
• g = 3.767 m/s² (rounded to three significant figures)

Therefore, the gravitational field strength of Mars is approximately 3.767 m/s².