Final answer:
To find the work done by a 65kg person climbing 4.0m, we multiply the weight of the person by the distance climbed. The work done on Earth is 2548 Joules, and on the Moon is 416 Joules, due to the differences in gravitational acceleration (9.80 m/s² on Earth and 1.60 m/s² on the Moon).
Step-by-step explanation:
To calculate the work done by a 65kg person climbing through 4.0m on the surface of the Earth, we use the formula Work = force × distance. On Earth, the gravitational acceleration is 9.80 m/s², so the force due to gravity on the person is Weight = mass × gravity which equals 65kg × 9.80 m/s². The work done on Earth would thus be 65kg × 9.80 m/s² × 4.0m.
For the moon, we use the same work formula, but the gravitational acceleration is given as 1.60 m/s². The force due to gravity on the moon would be 65kg × 1.60 m/s², and the work done on the moon would be 65kg × 1.60 m/s² × 4.0m.
By calculating the above, we find the work done on Earth to be 2548 Joules and on the moon to be 416 Joules.