Final answer:
To calculate the gravitational force on the surface of Mercury for a mass of 68.05 kg, use Newton's law of gravitation with the given values of G, Mercury's mass, and radius, resulting in the gravitational force in newtons.
Step-by-step explanation:
To determine the gravitational force you would experience on the surface of Mercury with a mass of 68.05 kg, we can use Newton's law of universal gravitation, which is expressed as F = Gm1m2/r2, where F is the force due to gravity, G is the gravitational constant (6.67 x 10-11 N·m2/kg2), m1 is the mass of the first object (in this case, your mass), m2 is the mass of the second object (Mercury's mass, which is 3.30 x 1023 kg), and r is the distance between the centers of the two masses (Mercury's radius, which is 2.44 x 106 m).
Plugging in the values, we get:
F = (6.67 x 10-11 N·m2/kg2) * (68.05 kg) * (3.30 x 1023 kg) / (2.44 x 106 m)2
Upon calculating, the answer will yield the gravitational force in newtons that you would experience on the surface of Mercury. It is important to perform the calculation correctly to determine the correct answer from the provided options.