Final answer:
The acceleration due to gravity on the surface of Jupiter's moon Io is approximately 1.81 m/s².
Step-by-step explanation:
To calculate the acceleration due to gravity on the surface of a moon, we can use the formula:
g = G * (M / r^2)
where:
- g is the acceleration due to gravity
- G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2)
- M is the mass of the moon
- r is the radius of the moon
Using the values given for Io (mass = 8.94 x 10^22 kg, radius = 1815 km), we can plug them into the formula:
g = (6.67430 × 10^-11 N(m/kg)^2) * (8.94 x 10^22 kg) / (1815 km)^2
After converting the radius from km to meters and evaluating the expression, we find that the acceleration due to gravity on the surface of Io is approximately 1.81 m/s².