Final answer:
The Moon's gravitational strength is calculated by dividing the astronaut's weight on the Moon by their weight on Earth. With weights of 159N on the Moon and 900N on Earth, the gravitational strength on the Moon is 1/6th that of Earth.
Step-by-step explanation:
The question is asking us to calculate the gravitational strength of the Moon based on the astronaut's weight on Earth compared to their weight on the Moon. The astronaut's weight on Earth is 900N, and on the Moon, it is 159N. To find the Moon's gravitational strength, we compare the two weights using the following ratio:
Moon's gravitational strength = Weight on Moon / Weight on Earth
Moon's gravitational strength = 159N / 900N = 0.1766 (approx.)
This value is closest to 1/6, which tells us that the Moon's gravitational strength is about 1/6 that of Earth's gravity.
Therefore, the correct answer is a) 1/6.