Final answer:
Fred has the greater mass because weight on Earth reflects a stronger gravitational pull, and since Fred weighs 882 N on Earth compared to Bob's weight of 160 N on the moon, Fred's mass must be greater. So, the correct answer is A: B) Fred has the greater mass.
Step-by-step explanation:
To determine who has the greater mass between Bob on the moon and Fred on Earth, we must understand the relationship between mass and weight.
Weight is the force of gravity acting on an object's mass.
On the moon, gravity is about 1/6th that of Earth's, so objects weigh less on the moon than on Earth.
Using the fact from the reference information that on Earth, a mass that weighs 49 N on the moon would weigh 8.35 N, we can see that Bob's weight on the moon (160 N) would be much greater on Earth.
Since Fred weighs 882 N on Earth, it indicates that his mass is substantially greater than Bob's.
Thus, when comparing the same object or person on Earth and on the moon, the one with the higher weight value on Earth has the greater mass.
Answer: B) Fred has the greater mass.