Final answer:
To calculate the difference between the forces on a 1.0-kg mass on the near side and far side of Io due to Jupiter, we can use Newton's Law of Universal Gravitation. However, since the mass of Jupiter is not provided in the question, we cannot calculate the exact difference.
Step-by-step explanation:
The difference between the forces on a 1.0-kg mass on the near side and far side of Io due to Jupiter can be calculated using Newton's Law of Universal Gravitation. The formula is:
F = G * (m1 * m2) / r^2
Where F is the force, G is the gravitational constant (6.67430 × 10^-11 N*m^2/kg^2), m1 and m2 are the masses, and r is the distance between the centers of the two masses. Since we are comparing the near and far side forces, the distances will be the sum of the radii of Io (1821 km) and its orbital radius about Jupiter (421,700 km). Plugging in the values, we get:
Fnear = 6.67430 × 10^-11 * (1.0 * mJupiter) / (1821 km + 421,700 km)^2
Ffar = 6.67430 × 10^-11 * (1.0 * mJupiter) / (1821 km - 421,700 km)^2
Subtracting Ffar from Fnear will give us the difference between the forces. Unfortunately, the mass of Jupiter is not provided in the question, so we cannot calculate the exact difference using this method. Therefore, none of the answer choices are correct.